Interfacial convection in multilayer systems

Interfacial Convection in Multilayer Systems

Volumn , Issue , 2006, Pages 1-314

  Nepomnyashchy, A ^a   Simanovskii, I ^a   Legros, J C ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84891991627     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-0-387-36291-5     Document Type: Book

References (612)

1. Agble D., Mendes-Tatsis M. A., 2000, The effect of surfactants on interfacial mass transfer in binary liquid-liquid systems, Int. J. Heat Mass Transfer 43, 1025-1034.
2. Agble D., Mendes-Tatsis M. A., 2001, The prediction of Marangoni convection in binary liquid-liquid systems with added surfactants, Int. J. Heat Mass Transfer 44, 1439-1449.
3. Aharon I., Shaw B. D., 1996, Marangoni instability of bi-component droplet gasification, Phys. Fluids 8, 1820-1827.
4. Alexander F. J., Chen S., Sternling J. D., 1993, Lattice Boltzmann thermohydrodynamics, Phys. Rev. E 47, R2249-R2252.
5. Alexeev V. L., Vinogradova L. V., 1996, Flow of a liquid in a nonuniformly hydrophobized capillary, Colloids Surfaces A 108, 173-179.
6. Anderson D. M., Davis S. H., 1995, The spreading of volatile liquid droplets on heated surfaces, Phys. Fluids 7, 248-265.
7. Anderson D. M., McFadden G. B., Wheeler A. A., 1998, Diffuse-interface methods in fluids mechanics, Annu. Rev. Fluid Mech. 30, 139-165.
8. Anderson D. M., McFadden G. B., Wheeler A. A., 2000, A phase-field model of solidification with convection, Physica D 135, 175-194.
9. Antanovskii L. K., 1995, A phase field model of capillarity, Phys. Fluids 7, 747-753.
10. Avnir D., Kagan M. L., 1995, The evolution of chemical patterns in reactive liquids, driven by hydrodynamic instabilities, Chaos 5, 589-601.
11. Badratinova L. G., 1985, Nonlinear equations of long waves in the problem of thermocapillary convection in a two-layer fluid, in Continuous Media Dynamics, Novosibirsk, 69, 3-18. In Russian.
12. Balasubramaniam R., Subramanian R. S., 2000, The migration of a drop in a uniform temperature gradient at large Marangoni numbers, Phys. Fluids 12, 733-743.
13. Bandyopadhyay D., Gulabani R., Sharma A., 2005, Instability and dynamics of thin liquid bilayers, Ind. Eng. Chem. Res. 44, 1259-1272.
14. Bar D. E., Nepomnyashchy A. A., 1995, Stability of periodic waves governed by the modified Kawahara equation, Physica D 86, 90-95.
15. Bar D. E., Nepomnyashchy A. A., 1999, Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems, Physica D 132, 411-427.
16. Barrat J., Bocquet L., 1999, Large slip effect at a nonwetting fluid-solid interface, Phys. Rev. Lett. 82, 4671-4674.
17. Bau H. H., 1999, Control of Marangoni-Bénard convection, Int. J. Heat Mass Transfer 42, 1327-1341.
18. Bear Y., 1988, Dynamics of Fluids in Porous Media, Dover, New York.
19. Beavers G. S., Joseph D. D., 1967, Boundary conditions at a naturally permeable wall, J. Fluid Mech. 30, 197-207.
20. Beckermann C., Viskanta R., Ramadhyani S., 1988, Natural convection in vertical enclosures with fluid and porous layers, J. Fluid Mech. 186, 257-284.
21. Bekki S., Vignes-AdlerM., Nakache E., Adler P. M., 1990, SolutalMarangoni effect, I. Pure interfacial transfer, J. Colloid Interface Sci. 140, 492-506.
22. Bekki S., Vignes-Adler M., Nakache E., 1992, Solutal Marangoni effect, II. Dissolution, J. Colloid Interface Sci. 152, 314-324.
23. Benz S., Hintz P., Riley R. J., Neitzel G. P., 1998, Instability of thermocapillarybuoyancy convection in shallow layers, Part 2. Suppression of hydrothermal waves, J. Fluid Mech. 359, 165-180.
24. Berejnov V., Leshansky A. M., Lavrenteva O. M., Nir A., 2002, Spontaneous thermocapillary interaction of drops: Effect of surface deformation at nonzero capillary number, Phys. Fluids 14, 1326-1339.
25. Berg J. C., Acrivos A. A., 1965, The effect of surface active agents on convection cells induced by surface tension, Chem. Eng. Sci. 20, 737-745.
26. Berg J. C., Acrivos A. A., Boudart M., 1966, Evaporative convection, Adv. Chem. Eng. 6, 61-123.
27. Bergeon A., Henry D., Benhadid H., Tuckerman L. S., 1998, Marangoni convection in binary mixtures with Soret effect, J. Fluid Mech. 375, 143-177.
28. Bernoff A. J., Bertozzi A. L., 1995, Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition, Physica D 85, 375-404.
29. Bestehorn M., 1993, Phase and amplitude instabilities for Bénard-Marangoni convection in fluid layers with large aspect ratio, Phys. Rev. E 48, 3622-3634.
30. Bestehorn M., Colinet P., 2000, Bénard-Marangoni convection of a binary mixtures as an example of an oscillatory bifurcation under strong symmetry-breaking effects, Physica D 145, 84-109.
31. Bestehorn M., Neuffer K., 2001, Surface patterns of laterally extended thin liquid films in three dimensions, Phys. Rev. Lett. 87, 046101 (1-4).
32. Bestehorn M., Pototsky A., Thiele U., 2003, 3D large scale Marangoni convection in liquid films, Eur. Phys. J. B 33, 457-467.
33. Bhattacharjee J. K., 1994, Marangoni convection in binary liquids, Phys. Rev. E 50, 1198-1205.
34. Birikh R. V., 1966, Thermocapillary convection in horizontal layer of liquid, J. Appl. Mech. Tech. Phys. 7, 43-49.
35. Blake T. D., 1984, Wetting, in Surfactants, edited by Academic, London, 221-275.
36. Böckmann M., Müller S. C., 2000, Growth rates of the buoyancy-driven instability of an autocatalytic reaction front in a narrow cell, Phys. Rev. Lett. 85, 2506-2509.
37. Boeck Th., 2000, Bénard-Marangoni convection at low Prandtl numbers, PhD thesis, Ilmenau Technical University.
38. Boeck Th., Nepomnyashchy A., Simanovskii I., Golovin A., Braverman L., Thess A., 2002, Three-dimensional convection in a two-layer system with anomalous thermocapillary effect, Phys. Fluids 14, 3899-3911.
39. Boeck Th., Thess A., 1999a, Bénard-Marangoni convection at low Prandtl number, J. Fluid Mech. 399, 251-275.
40. Boeck Th., Thess A., 1999b, Direct numerical simulation of Marangoni convection in a two-fluid system, in Scientific Computing in Chemical Engineering II, edited by F. Keil, W. Mackens, H. Voss, and J. Werther, Springer-Verlag, Berlin, 352-359.
41. Boeck Th., Thess A., 2001, Power-law scaling in Benard-Marangoni convection at large Prandtl numbers, Phys. Rev. E 64, 027303 (1-4).
42. Boeck Th., Vitanov N.K., 2002, Low-dimensional chaos in zero-Prandtl-number Bénard-Marangoni convection, Phys. Rev. E 65, 037203 (1-4).
43. Boos W., Thess A., 1999, Cascade of structures in long-wavelength Marangoni instability, Phys. Fluids 11, 1484-1494.
44. Borcia R., Bestehorn M., 2003, Phase-field model for Marangoni convection in liquid-gas systems with a deformable interface, Phys. Rev. E 67, 066307 (1-10).
45. Bormashenko E., Pogreb R., Stanevsky O., Bormashenko Y., Stein T., Gaisin V.-Z., Cohen R., Gendelman O. V., 2005a, Mesoscopic patterning in thin polymer films formed under the fast dip-coating process, Macromol. Mater. Eng. 290, 114-121.
46. Bormashenko E., Pogreb R., Stanevsky O., Bormashenko Y., Stein T., Cohen R., Nunberg M., Gaisin V.-Z., Gorelik M., Gendelman O. V., 2005b, Mesoscopic and submicroscopic patterning in thin polymer films: Impact of the solvent, Mater. Lett. 59, 2461-2464.
47. Bratsun D. A., De Wit A., 2004, On Marangoni convective patterns driven by exothermic chemical reaction in two-layer systems, Phys. Fluids 16, 1082-1096.
48. Braverman L. M., Eckert K., Nepomnyashchy A. A., Simanovskii I. B., Thess A., 2000, Convection in two-layer systems with anomalous thermocapillary effect, Phys. Rev. E 62, 3619-3631.
49. Bretherton F. P., 1961, The motion of long bubbles in tubes, J. Fluid Mech. 10, 166-188.
50. Brinker C. J., Lu Y. F., Sellinger A., Fan N. Y., 1999, Evaporation-induced selfassembly: nanostructures made easy, Adv. Mater. 11, 579-585.
51. Bull J. L., Grotberg J. B., 2003, Surfactant spreading on thin viscous films: film thickness evolution and periodic wall stretch, Exp. Fluids 34, 1-15.
52. Burelbach J. P., Bankoff S. G., Davis S. H., 1988, Nonlinear stability of evaporating/ condensating liquid films, J. Fluid Mech. 195, 463-494.
53. Burguete J.,Mukolobwiez N., Daviaud F., Garnier N., Chiffaudel A., 2001, Buoyant-thermocapillary instabilities in extended liquid layers subjected to a horizontal temperature gradient, Phys. Fluids 13, 2773-2787.
54. Buyevich Y. A., Rabinovich L. M., Vyazmin A. V., 1993a, Chemo-Marangoni convection. I. Linear analysis and criteria of instability, J. Colloid Interface Sci. 157, 202-210.
55. Buyevich Y. A., Rabinovich L. M., Vyazmin A. V., 1993b, Chemo-Marangoni convection. II. Nonlinear stability analysis, J. Colloid Interface Sci. 157, 211-218.
56. Calves J.-Y., Danes F. E., Gentric E., Lijour Y., Sanfeld A., Saumagne P., 1989, Kinetics and instabilities in the extraction of Co(II) by sodium di-(2-ethylhexyl) phosphate at the water/toluene interface. II. Spontaneous turbulences induced by interfacial reactions, J. Colloid Interface Sci. 129, 130-138.
57. Canright D., 1994, Thermocapillary flow near a cold wall, Phys. Fluids 6, 1415-1424.
58. Canuto C., Hussaini M. Y., Quarteroni A., Zang T., 1988, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin.
59. Cardin Ph., Nataf H.-C., 1991, Nonlinear dynamical coupling observed near the threshold of convection in a two-layer system, Europhys. Lett. 14, 655-660.
60. Cardin Ph., Nataf H.-C., Dewost Ph., 1991, Thermal coupling in layered convection: evidence for an interface viscosity control from mechanical experiments and marginal stability analysis, J. Phys. II 1, 599-622.
61. Carey M. R., Morris S. W., Kolodner P., 1996, Convective fingering of an autocatalytic reaction front, Phys. Rev. E 53, 6012-6015.
62. Castillo J. L., Velarde M. G., 1978, Thermal diffusion and the Marangoni-Bénard instability of a two-component fluid layer heated from below, Phys. Lett. A 66, 489-491.
63. Castillo J. L., Velarde M. G., 1980, Microgravity and the thermoconvective stability of a binary liquid layer open to the ambient air, J. Nonequilib. Thermodyn. 5, 111-124.
64. Castillo J. L., Velarde M. G., 1982, Buoyancy-thermocapillary instability: the role of interfacial deformation in one- and two-component fluid layers heated from below or above, J. Fluid Mech. 125, 463-474.
65. Castillo J. L., Velarde M. G., 1985, Marangoni convection in liquid films with a deformable open surface, J. Colloid Interface Sci. 108, 264-270.
66. Cazabat A. M., Cohen Stuart M. A., 1986, Dynamics of wetting: effects of surface roughness, J. Phys. Chem. 90, 5845-5849.
67. Cazabat A. M., Heslot F., Troian S. M., Carles P., 1990, Fingering instability of thin spreading films driven by temperature gradients, Nature 346, 824-826.
68. Cerisier P., Rahal S., Billia B., 1996, Extrinsic effects of the disorder dynamics of Bénard-Marangoni patterns, Phys. Rev. E 54, 3508-3517.
69. Chandrasekhar S., 1961, Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford.
70. Char M. I., Chiang K. T., 1996, Effect of interfacial deformation on the onset of convective instability in a doubly diffusive fluid layer, Int. J. Heat Mass Transfer 39, 407-418.
71. Chen C. F., Chen C. C., 1994, Effect of surface tension on the stability of a binary fluid layer under reduced gravity, Phys. Fluids 6, 1482-1490.
72. Chen C. F., Floryan J. M., 1994, Numerical simulation of nonisothermal capillary interfaces, J. Comp. Phys. 111, 183-193.
73. Chen C. F., Su T. F., 1992, Effect of surface tension on the onset of convection in a double-diffusive layer, Phys. Fluids A 4, 2360-2367.
74. Chen F., Chen C. F., 1988, Onset of finger convection in a horizontal porous layer underlying a fluid layer, J. Heat Transfer 110, 403-409.
75. Chen F., Chen C. F., 1989, Experimental investigation of convective stability in a superposed fluid and porous layer when heated from below, J. Fluid Mech. 207, 311-321.
76. Chen F., Chen C. F., 1992, Convection in superposed fluid and porous layers, J. Fluid Mech. 234, 97-119.
77. Chen J.-C., Hwu F.-S., 1993, Oscillatory thermocapillary flow in a rectangular cavity, Int. J. Heat Mass Transfer 36, 3743-3749.
78. Chen S., Doolen G. D., 1998, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech. 30, 329-364.
79. Christov C. I., Velarde M. G., 1995, Dissipative solitons, Physica D 86, 323-347.
80. Chu X.-L., Velarde M. G., 1988, Sustained transverse and longitudinal waves at the open surface of a liquid, Physicochem. Hydrodyn. 10, 727-737.
81. Chu X.-L., Velarde M. G., 1989, Transverse and longitudinal waves induced and sustained by surfactant gradients at liquid-liquid interfaces, J. Colloid Interface Sci. 131, 471-484.
82. Chu X.-L., Velarde M. G., 1991, Korteweg-de Vries soliton excitation in Bénard- Marangoni convection, Phys. Rev. A 43, 1094-1096.
83. Churaev N. V., 2003, Surface forces in wetting films, Adv. Colloid Interface Sci. 103, 197-218.
84. Churaev N. V., Sobolev V. D., Somov A. N., 1984, Slippage of liquids over lyophobic solid surfaces, J. Colloid Interface Sci. 97, 574-581.
85. Churaev N. V., Sobolev V. D., Zorin Z. M., 1971, Measurement of viscosity of liquids in quartz capillaries, Trans. Faraday Soc. 52, 213-220.
86. Cliffe K. A., Tavener S. J., 1998, Marangoni-Bénard convection with a deformable free surface, J. Comput. Phys. 145, 193-227.
87. Colinet P., Géoris Ph., Legros J.-C., Lebon G., 1996, Spatially quasiperiodic convection and temporal chaos in two-layer thermocapillary instabilities, Phys. Rev. E 54, 514-524.
88. Colinet P., Joannes L., Iorio C. S., Hant B., Bestehorn M., Lebon G., Legros J.-C., 2003, Interfacial turbulence in evaporating liquids: theory and preliminary results of the ITEL - Maser 9 sounding rocket experiment, Adv. Space Res. 32, 119-137.
89. Colinet P., Legros J.-C., 1994, On the Hopf bifurcation occuring in the two-layer Rayleigh-Bénard convective instability, Phys. Fluids 6, 2631-2639.
90. Coveney P. V., Novik K. E., 1996, Computer simulations of domain growth and phase separation in two-dimensional binary immiscible fluids using dissipative particle dynamics, Phys. Rev. E 54, 5134-5141.
91. Cox R. G., 1983, The spreading of a liquid on a rough solid surface, J. Fluid Mech. 131, 1-26.
92. Czechowski L., Floryan J. M., 2001, Marangoni instability in a finite container -transition between short and long wavelengths modes, J. Heat Transfer 123, 96-104.
93. Dalle Vedove W., Sanfeld A., 1981, Hydrodynamic and chemical stability of fluidfluid reacting interfaces. I. General theory for aperiodic regimes, J. Colloid Interface Sci. 84, 318-327.
94. Danov K. D., Alleborn N., Raszillier H., Durst F., 1998a, The stability of evaporating thin liquid films in the presence of surfactant. I. Lubrication approximation and linear analysis, Phys. Fluids 10, 131-143.
95. Danov K. D., Paunov V. M., Alleborn N., Raszillier H., Durst F., 1998b, Stability of evaporating two-layered liquid film in the presence of surfactant - I. The equations of lubrication approximation, Chem. Eng. Sci. 53, 2809-2822.
96. Danov K. D., Paunov V. M., Stoyanov S. D., Alleborn N., Raszillier H., Durst F., 1998c, Stability of evaporating two-layered liquid film in the presence of surfactant - II. Linear analysis, Chem. Eng. Sci. 53, 2823-2837.
97. Darhuber A. A., Davis J. M., Troian S. M., Reisner W. W., 2003, Thermocapillary actuation of liquid flow on chemically patterned surfaces, Phys. Fluids 15, 1295-1304.
98. Dauby P. C., Lebon G., 1996, Bénard-Marangoni instability in rigid rectangular containers, J. Fluid Mech. 120, 91-138.
99. Dauby P. C., Lebon G., Bouhy E., 1997, Linear Benard-Marangoni instability in rigid circular containers, Phys. Rev. E 56, 520-530.
100. Dauby P. C., Lebon G., Colinet P., Legros J. C., 1993, Hexagonal Marangoni convection in a rectangular box with slippery walls, Q. J. Mech. Appl. Math. 46, 683-707.
101. Davis S. H., 1987, Thermocapillary instabilities, Annu. Rev. Fluid Mech. 19, 403-435.
102. De Bruyn J. R., 1992, Growth of fingers at a driven three-phase contact line, Phys. Rev. A 46, R4500-R4503.
103. De Gennes P. G., 1985, Wetting: statistics and dynamics, Rev. Mod. Phys. 57, 827-863.
104. De Gennes P. G., 2001, Instabilities during the evaporation of a film: Non-glassy polymer plus volatile solvent, Eur. Phys. J. E 6, 421-424.
105. De Gennes P. G., Brochard-Wyart F., Quéré D., 2004, Capillary and Wetting Phenomena, Springer, New York.
106. De Saedeleer C., Garcimartin A., Chapeveyer G., Platten J. K., Lebon G., 1996, The instability of a liquid layer heated from the side when the upper surface is open to air, Phys. Fluids 8, 670-676.
107. De Wit A., 2001, Fingering of chemical fronts in porous media, Phys. Rev. Lett. 87, 054502 (1-4).
108. Deegan R. D., 2000, Pattern formation in drying drops, Phys. Rev. E 61, 475-485.
109. Degen M. M., Colovas P. W., Andereck C. D., 1998, Time-dependent patterns in the two-layer Rayleigh-Bénard system, Phys. Rev. E 57, 6647-6659.
110. Denniston C., Yeomans J. M., 1999, Diffuse interface simulation of Marangoni convection, PCCP 1, 2157-2161.
111. Derjaguin B. V., Churaev N. V., Muller V. M., 1987, Surface Forces, Consultants Bureau, New York.
112. Desaive Th., Lebon G., Hennenberg M., 2001, Coupled capillary and gravity-driven instability in a liquid film overlying a porous layer, Phys. Rev. E 64, 066304 (1-8).
113. Dijkstra H. A., 1995, Surface-tension-driven cellular patterns in 3-dimensional boxes - linear stability, Micrograv. Sci. Technol. VII, 307-312.
114. Doi T., Koster J. N., 1993, Thermocapillary convection in two immiscible liquid layers with free surface, Phys. Fluids 5, 1914-1927.
115. DondlingerM., Margerit J., Dauby P. C., 2005,Weakly nonlinear study of Marangoni instabilities in an evaporating liquid layer, J. Colloid Interface Sci. 283, 522-532.
116. Dos Santos F. D., Ondarçuhu T., 1995, Free-running droplets, Phys. Rev. Lett. 75, 2972-2975.
117. Dowden J., 2002, Interaction of the keyhole and weld pool in laser keyhole welding, J. Laser Appl. 14, 204-209.
118. Dupeyrat M., Nakache E., Vignes-Adler M., 1984, Chemically driven interfacial instabilities, in Chemical Instabilities, edited by G. Nicolis and F. Baras, Reidel, Dordrecht, 233-245.
119. Dussan V E. B., 1979, On the spreading of liquids on solid surfaces: static and dynamic contact lines, Annu. Rev. Fluid Mech., 11, 371-400.
120. Dussan V E. B., Davis S. H., 1974, On the motion of fluid-fluid interface along a solid surface, J. Fluid Mech., 65, 71-95.
121. Dussaud A. D., Troian S. M., 1998, Dynamics of spontaneous spreading with evaporation on a deep fluid layer, Phys. Fluids 10, 23-38.
122. Dzwinel W., Yuen D. A., 2001, Mixing driven by Rayleigh-Taylor instability in the mesoscale modeled with dissipative particle dynamics, Int. J. Mod. Phys. C 12, 91-118.
123. Dzyaloshinskii I. E., Lifshitz E. M., Pitaevskii L. P., 1960, Van der Waals forces in liquid films, Sov. Phys. JETP 10, 161-170.
124. Dzyaloshinskii I. E., Pitaevskii L. P., 1959, Van der Waals forces in an inhomogeneous dielectric, Sov. Phys. JETP 9, 1282-1287.
125. Eckert K., Grahn A., 1999, Plume and finger regimes driven by an exothermic interfacial reaction, Phys. Rev. Lett. 82, 4436-4439.
126. Eckert K., Thess A., 2001, unpublished.
127. Edwards D. A., Brenner H., Wasan D. T., 1991, Interfacial Transport Processes and Rheology, Butterworth-Heinemann, Boston.
128. Ehrhard P., Davis S. H., 1991, Non-isothermal spreading of liquid drops on horizontal plates, J. Fluid Mech. 229, 365-388.
129. Elbaum M., Lipson S. G., 1994, How does a thin wetted film dry up, Phys. Rev. Lett. 72, 3562-3565.
130. Elbaum, M., Lipson S. G., 1995, Pattern formation in the evaporation of thin liquid films, Israel J. Chem. 35, 27-32.
131. Engel A., Swift J. B., 2000, Planform selection in two-layer Bénard-Marangoni convection, Phys. Rev. E 62, 6540-6553.
132. Ermakov S. A., Ermakov A. A., Chupakhin O. N., Vaissov D. V., 2001, Mass transfer with chemical reaction in conditions of spontaneous interfacial convection in processes of liquid extraction, Chem. Eng. J. 84, 321-324.
133. Erneux Th., Davis S. H., 1993, Nonlinear rupture of free films, Phys. Fluids A 5, 1117-1122.
134. Español P., Serrano N., Zuniga I., 1997, Coarse-graining of a fluid and its relation with dissipative particle dynamics and smoothed particle dynamics, Int. J.Mod. Phys. C 8, 899-908.
135. Espinosa F. F., Kamm R. D., 1997, Thin layer flows due to surface tension gradients over a membrane undergoing nonuniform, periodic strain, Annu. Biomed. Eng. 25, 913-925.
136. Eyer A., Leiste H., 1985, Striation-free silicon crystal by float-zoning with surfacecoated melt, J. Crystal Growth 71, 249-252.
137. Eyer A., Leiste H., Nitsche R., 1985, Float zone growth of silicon under microgravity in a sounding rocket, J. Crystal Growth 71, 173-182.
138. Fan Z., Ji S., Zhang J., 2001, Processing of immiscible metallic alloys by rheomixing process, Mater. Sci. Techn. 17, 837-842.
139. Ferm E. N., Wollkind D. J., 1982, Onset of the Rayleigh - Bénard - Marangoni instability; comparison between theory and experiment, J. Non-Equilib. Thermodyn. 7, 170-190.
140. Fisher L. S., Golovin A. A., 2005, Nonlinear stability analysis of a two-layer thin liquid film: Dewetting and autophobic behavior, J. Colloid Interface Sci. 291, 515-528.
141. Fletcher C. A. J., 1988, Computational Techniques for Fluid Dynamics, Springer-Verlag, Berlin.
142. Frank S., Schwabe D., 1997, Temporal and spatial elements of thermocapillary convection in floating zones, Exp. Fluids 23, 234-251.
143. Frenkel A. L., Halpern D., 2002, Stokes-flow instability due to interfacial surfactant, Phys. Fluids 14, L45-L48.
144. Freund J. B., 2003, The atomic detail of a wetting/de-wetting flow, Phys. Fluids 15, L33-L36.
145. Frisch U., Hasslacher B., Pomeau Y., 1986, Lattice-gas automata for the Navier-Stokes equation, Phys. Rev. Lett. 56, 1505-1508.
146. Frisch U., She Z. S., Sulem P. L., 1987, Large-scale flow driven by the anisotropic kinetic alpha effect, Physica D 28, 382-392.
147. Fuhrich T., Berger P., Hugel H., 2001, Marangoni effect in laser deep penetration welding of steel, J. Laser Appl. 13, 178-186.
148. Funada T., 1987, Nonlinear surface waves driven by the Marangoni instability in a heat transfer system, J. Phys. Soc. Japan 56, 2031-2038.
149. Garazo A. N., Velarde M. G., 1991, Dissipative Korteweg-de Vries description of Marangoni-Bénard oscillatory convection, Phys. Fluids A 3, 2295-2300.
150. Garazo A. N., Velarde M. G., 1992, Marangoni-driven solitary waves, in Proceedings of the VIII European Symposium on Materials and Fluid Sciences in Microgravity, European Space Agency, Paris, ESA SP-333, 711-715.
151. Garcia-Ybarra P. L., Castillo J. L., Velarde M. G., 1987a, A nonlinear evolution equation for Bénard-Marangoni convection with deformable boundary, Phys. Lett. A 122, 107-110.
152. Garcia-Ybarra P. L., Castillo J. L., Velarde M. G., 1987b, Bénard-Marangoni convection with a deformable interface and poorly conducting boundaries, Phys. Fluids 30, 2655-2661.
153. Garcia-Ybarra P. L., Velarde M. G., 1987, Oscillatory Marangoni-Bénard interfacial instability and capillary-gravity waves in single- and two-component liquid layers with or without Soret thermal diffusion, Phys. Fluids 30, 1649-1655.
154. Garnier N., Grigoriev R. O., Schatz M. F., 2003, Optical manipulation of microscale fluid flow, Phys. Rev. Lett. 91, 054501 (1-4).
155. Gaver III D. P., Halpern D., Jensen O. E., Grotberg J. B., 1996, The steady motion of a semi-infinte bubble through a flexible-walled channel, J. Fluid Mech. 319, 25-65.
156. Gaver III D. P., Samsel R.W., Solway J., 1990, Effect of surface tension and viscosity on airway reopening, J. Appl. Physiol. 69, 74-85.
157. Géoris Ph., 1994, Contribution a l'étude des instabilités de Marangoni-Bénard et Rayleigh-Bénard pour les systèmes multicouches, PhD thesis, Université Libre de Bruxelles.
158. Géoris Ph., Hennenberg M., Simanovskii I., Nepomnyashchy A.,Wertgeim I., Legros J.-C., 1993, Thermocapillary convection in a multilayer system, Phys. Fluids A 5, 1575-1582.
159. Géoris Ph., Legros J.-C., 1996, Pure thermocapillary convection in a multilayer system: first results from the IML-2mission, in Materials and Fluids under Low Gravity, edited by L. Ratke, H.Walter, and B. Feuerbacher, Springer-Verlag, Berlin, 299-311.
160. Géoris Ph., Legros J.-C., Nepomnyashchy A., Simanovskii I., Viviani A., 1997, Numerical simulation of convection flows in multilayer fluid systems, Micrograv. Sci. Techn. 10, 13-20.
161. Géoris Ph., Hennenberg M., Lebon G., Legros J.-C., 1999, Thermocapillary convection in a three-liquid-layer system, J. Fluid Mech. 389, 209-228.
162. Gershuni G. Z., Zhukhovitsky E. M., 1976, Convective Stability of Incompressible Fluid, Keter, Jerusalem.
163. Gershuni G. Z., Zhukhovitsky E. M., 1980, On the instability of a horizontal layers system of immiscible fluids when heating from above, Izv. AN SSSR, Mekh. Zhidk. Gaza No. 6, 28-34. In Russian.
164. Gershuni G. Z., Zhukhovitsky E. M., 1982, On monotonic and oscillatory instability of a two-layer immiscible fluids system heated from below, Sov. Phys. Dokl. 27, 531-533.
165. Gershuni G. Z., Zhukhovitsky E. M., Simanovskii I. B., 1981, On equilibrium stability and finite-amplitude motions in a two-layer system when heating from above, in Convective Flows, Perm Pedagogical Institute, Perm, 3-11. In Russian.
166. Gertsberg V. L., Sivashinsky G. I., 1981, Large cells in nonlinear Rayleigh-Bénard convection, Progr. Theor. Phys. 66, 1219-1229.
167. Gilev A. Yu., Nepomnyashchy A. A., Simanovskii I. B., 1986, Onset of the thermogravitational convection in a two-layer system in the presence of a surfactant on the interface, Zh. Prikl. Mekh. Tekhn. Fiz. 5, 76-81. In Russian.
168. Gilev A. Yu., Nepomnyashchy A. A., Simanovskii I. B., 1987a, Onset of convection in two-layer system under a combined action of Rayleigh and thermocapillary mechanisms of instability, Fluid Dyn. 22, 142-145.
169. Gilev A. Yu., Nepomnyashchy A. A., Simanovskii I. B., 1987b, Generation of thermocapillary and thermogravitational convection in an air-water system, Fluid Mech. - Sov. Res. 16, 44-48.
170. Gilev A. Yu., Nepomnyashchy A. A., Simanovskii I. B., 1987c, Onset of oscillatory thermogravitational convection in a two-layer system when heating from below, in Dynamics of Viscous Fluid, Sverdlovsk, USC AS USSR, 36-37.
171. Gilev A. Yu., Nepomnyashchy A. A., Simanovskii I. B., 1991, Thermocapillary convection with the interfacial heat release depending on temperature, Zh. Prikl. Mekh. Tekh. Fiz. 3, 115-119.
172. Ginley G. M., Radke C. J., 1989, Influence of soluble surfactants on the flow of long bubbles through a cylindrical capillary, ACS Symp. Series 396, 480-501.
173. Golovin A. A., 1992, Mass transfer under interfacial turbulence, Chem. Eng. Sci. 47, 2069-2080.
174. Golovin A. A., Nepomnyashchy A. A., Davis S. H., Zaks M. A., 2001, Convective Cahn-Hilliard models: From coarsening to roughening, Phys. Rev. Lett. 86, 1550-1553.
175. Golovin A. A., Nepomnyashchy A. A., Pismen L. M., 1994, Interaction between short-scale Marangoni convection and long-scale deformational instability, Phys. Fluids 6, 34-48.
176. Golovin A. A., Nepomnyashchy A. A., Pismen L. M., 1995, Pattern formation in large-scale Marangoni convection with deformable interface, Physica D 81, 117-147.
177. Golovin A. A., Nepomnyashchy A. A., Pismen L. M., 1997a, Nonlinear evolution and secondary instabilities of Marangoni convection in a liquid-gas system with deformable interface, J. Fluid Mech. 341, 317-341.
178. Golovin A. A., Nepomnyashchy A. A., Pismen L. M., 2003, Non-potential effects in nonlinear dynamics of Marangoni convection, Int. J. Bifurc. Chaos 12, 2487-2500.
179. Golovin A. A., Nepomnyashchy A. A., Pismen L. M., Riecke H., 1997b, Steady and oscillatory side-band instabilities in Marangoni convection with deformable interface, Physica D 106, 131-147.
180. Gonuguntla M., Sharma A., 2004, Polymer patterns in evaporating droplets on dissolving substrates, Langmuir 20, 3456-3463.
181. Goodrich F. C., 1981, The theory of capillary excess viscosities, Proc. Roy. Soc. London A 374, 341-370.
182. Goodwin R. T., SchowalterW. R., 1995, Arbitrarily oriented capillary-viscous planar jets in the presence of gravity, Phys. Fluids 7, 954-963.
183. Gottlib D., Orszag S. A., 1977, in Numerical Analysis of Spectral Methods, CBMSNSF Regional Conference Series in Applied Mathematics, Philadelphia.
184. Gradon L., Podgorski, A., 1989, Hydrodynamical model of pulmonary clearance, Chem. Eng. Sci. 44, 741-749.
185. Grigoriev R. O., 2002, Control of evaporatively driven instabilities of thin liquid films, Phys. Fluids 14, 1895-1909.
186. Grigoriev R. O., 2003, Contact line instability and pattern selection in thermally driven liquid films, Phys. Fluids 15, 1363-1374.
187. Groothuis H., Zuiderweg F. G., 1960, Influence of mass transfer on coalescence of drops, Chem. Eng. Sci. 12, 288-289.
188. Grotberg J. B., Jensen O. E., 2004, Biofluid mechanics in flexible tubes, Annu. Rev. Fluid Mech. 36, 121-147.
189. Gueyffier D., Zaleski S., 1998, Formation de digitations lors de l'impact d'une goutte sur un film liquide, C. R. Acad. Sci. Paris, Série II b 326, 839-844.
190. Gumerman R. J., Homsy G. M., 1974a, Convective instabilities in concurrent two-phase flow. Part I. Linear stability, AIChE J. 20, 981-988.
191. Gumerman R. J., Homsy G. M., 1974b, Convective instabilities in concurrent two-phase flow. Part II. Global stability, AIChE J. 20, 1161-1167.
192. Gumerman R. J., Homsy G. M., 1975, The stability of radially bounded thin films, Chem. Eng. Commun. 2, 27.
193. Ha V.-M., Lai C.-L., 2002, Onset of Marangoni instability of a two-component evaporating droplet, Int. J. Heat Mass Transf. 45, 5143-5158.
194. Halpern D., Gaver III D. P., 1994, Boundary element analysis of the time-dependent motion of a semi-infinite bubble in a channel, J. Comput. Phys. 115, 366-375.
195. Halpern D., Frenkel A. L., 2003, Destabilization of a creeping flow by interfacial surfactant: linear theory extended to all wavenumbers, J. Fluid Mech. 485, 191-220.
196. Hamaker H. C., 1937, The London-van der Waals attraction between spherical particles, Physica 4, 1058-1072.
197. Hamed M., Floryan J. M., 2000a, Marangoni convection. Part 1. A cavity with differentially heated sidewalls, J. Fluid Mech. 405, 79-110.
198. Hamed M., Floryan J. M., 2000b, Marangoni convection. Part 2. A cavity subject to point heating, J. Fluid Mech. 405, 111-129.
199. Hammerschmid P., 1987, Bedeutung des Marangoni-Effekts für metallurgische Vorgänge, Stahl u. Eisen 2, 61-66.
200. Haut B., Colinet P., 2005, Surface-tension-driven instabilities of a pure liquid layer evaporating into an inert gas, J. Colloid Interface Sci. 285, 296-305.
201. Hazel A. L., Heil M., 2003a, Three-dimensional airway reopening: the steady propagation of a semi-infinite bubble into a buckled elastic tube, J. Fluid Mech. 478, 47-70.
202. Hazel A. L., Heil M., 2003b, Steady finite-Reynolds-number flows in three-dimensional collapsible tubes, J. Fluid Mech. 486, 79-103.
203. Heil M., 2000, Finite Reynolds number effects in the propagation of an air finger into a liquid-filled flexible-wall channel, J. Fluid Mech. 424, 21-44.
204. Hennenberg M., Bisch P. M., Vignes-Adler M., Sanfeld A., 1979, Mass transfer, Marangoni effect, and instability of interfacial longitudinal waves, I. Diffusional exchanges, J. Colloid Interface Sci. 69, 128-137.
205. Hennenberg M., Bisch P. M., Vignes-Adler M., Sanfeld A., 1980, Mass transfer, Marangoni effect, and instability of interfacial longitudinal waves, II. Diffusional exchanges and adsorption-desorption processes, J. Colloid Interface Sci. 74, 495-508.
206. Hennenberg M., Chu X.-L., Sanfeld A., Velarde M. G., 1992, Transverse and longitudinal waves at the air-liquid interface in the presence of an adsorption barrier, J. Colloid Interface Sci. 150, 7-21.
207. Hennenberg M., Saghir M. Z., Rednikov A., Legros J.-C., 1997, Porous media and the Bénard-Marangoni problem, Transport Porous Media 27, 327-355.
208. Higgins A. M., Jones R. A. L., 2000, Anisotropic spinodal dewetting as a route to self-assembly of patterned surfaces, Nature 404, 476-478.
209. Ho K.-L., Chang H.-C., 1988, On nonlinear doubly-diffusive Marangoni instability, AIChE J. 34, 705-722.
210. Hocking L. M., 1977, A moving fluid interface. II. The removal of the force singularity by a slip flow, J. Fluid Mech. 79, 209-229.
211. Hocking L. M., 1990, Spreading and instability of a viscosity fluid sheet, J. Fluid Mech. 211, 373-392.
212. Hocking L. M., 1993, The influence of intermolecular forces on thin fluid layers, Phys. Fluids 5, 793-799.
213. Hohenberg P. C., Halperin B. I., 1977, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49, 435-479.
214. Hondros E. D., McLean M., Mills K. C. (editors), 1998, Marangoni and Interfacial Phenomena inMaterials Processing: Originating from Contributions to a Discussion of the Royal Society of London, The University Press, Cambridge.
215. Hoogerbrugge P. J., Koelman J. M. V. A., 1992, Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics, Europhys. Lett. 19, 155-160.
216. Howell P. D., Waters S. L., Grotberg J. B., 2000, The propagation of a liquid bolus along a liquid-lined flexible tube, J. Fluid Mech. 406, 309-335.
217. Howle L. E., 1997, Active control of Rayleigh-Bénard convection, Phys. Fluids 9, 1861-1863.
218. Hsu S. H., Strohl K. P., Haxhiu M. A., Jamieson A. M., 1996, Role of viscoelasticity in tube model of airway reopening. 2. Non-Newtonian gels and airway simulation, J. Appl. Physiol. 80, 1649-1659.
219. Hsu S. H., Strohl K. P., Jamieson A. M., 1994, Role of viscoelasticity in tube model of airway reopening. 1. Non-Newtonian sols, J. Appl. Physiol. 76, 2481-2489.
220. HuangW., Bhullar R. S., Fung Y. C., 2001, The surface-tension-driven flow
221. Hughes M. A., 1978, On the direct observation of films formed at a liquid-liquid interface during the extraction of metals, Hydrometallurgy 3, 85-90.
222. Huh C., Mason S. G., 1977, Effects of surface roughness on wetting (theoretical), J. Colloid Interface Sci. 60, 11-38.
223. Huppert H. E., 1982, Flow and instability of a viscous gravity current down a slope, Nature 300, 427-429.
224. Ibañez J. L., Velarde M. G., 1977, Hydrochemical stability of an interface between 2 immiscible liquids: the role of Langmuir-Hinshelwood saturation law, J. Phys. (France) 38, 1479-1483.
225. Imaishi N., Fujinawa K., 1974a, Theoretical study of the stability of two-fluid layers, J. Chem. Eng. Japan 7, 81-86.
226. Imaishi N., Fujinawa K., 1974b, Thermal instability in two-fluid layers, J. Chem. Eng. Japan 7, 87-92.
227. Israelashvili J. H., 1985, Intermolecular and Surface Forces, Academic, New York.
228. Jasnow D., Viñals J., 1996, Coarse-grain description of thermo-capillary flow, Phys. Fluids 8, 660-669.
229. Jensen O. E., Horsburgh M. K., Halpern D., Gaver III D. P., 2002, The steady propagation of a bubble in a flexible-wall channel: Asymptotic and computational models, Phys. Fluids 14, 443-457.
230. Jiang Y., Floryan J. M., 2003, Influence of heat transfer at the interface on the thermocapillary convection in the adjacent phase, J. Heat Transfer 125, 190-194.
231. Joanny J. F., de Gennes P. G., 1984, A model for contact angle hysteresis, J. Chem. Phys. 81, 552-562.
232. Johnson D., Narayanan R., 1996, Experimental observation of dynamic mode switching in interfacial-tension-driven convection near a codimension-two point, Phys. Rev. E 54, R3102-R3104.
233. Johnson D., Narayanan R., 1997, Geometric effects on convective coupling and interfacial structures in bilayer convection, Phys. Rev. E 56, 5462-5472.
234. Johnson D., Narayanan R., 1998, Marangoni convection in multiple bounded fluid layers and its application to materials processing, Phil. Trans. R. Soc. Lond. A 356, 885-897.
235. Johnson D., Narayanan R., 1999, A tutorial on the Rayleigh-Marangoni- Benard problem with multiple layers and side wall effects, Chaos 9, 124-140.
236. Johnson E. S., 1975, Liquid encapsulated float zone melting for GaAs, J. Crystal Growth 30, 249-256.
237. Johnson M. F. G., Schluter R. A., Miksis M. J., Bankoff S. G., 1999, Experimental study of rivulet formation on an inclined plate by fluorescent imaging, J. FluidMech. 394, 339-354.
238. Joo S. W., Davis S. H., Bankoff S. G., 1991, Longwave instabilities of heated falling films: two-dimensional theory of uniform layers, J. Fluid Mech. 230, 117-146.
239. Joseph D. D., Renardy Y. Y., 1993, Fundamentals of Two-Fluid Dynamics, Springer-Verlag, New York.
240. Juel A., Burgess J. M., McCormick W. D., Swift J. B., Swinney H. L., 2000, Surface tension-driven convection patterns in two liquid layers, Physica D 143, 169-186.
241. Kai S., Muller S. C., Mori T.,MikiM., 1991, Chemically driven nonlinear waves and oscillations at an oil-water interface, Physica D 50, 412-428.
242. Kaminskii V. A., Dil'man V. V., 2003, Marangoni instability in evaporation of binary mixtures, Theor. Found. Chem. Eng. 37, 533-538.
243. Karcher C., Schaller R., Boeck T., Metzner C., Thess A., 2000, Turbulent heat transfer in liquid iron during electron beam evaporation, Int. J. Heat Mass Transfer 43, 1759-1766.
244. Kargupta K., Konnur R., Sharma A., 2001, Spontaneous dewetting and ordered patterns in evaporating thin liquid films on homogeneous and heterogeneous substrates, Langmuir 17, 1294-1305.
245. Kataoka D. E., Troian S. M., 1999, Patterning liquid flow on the microscopic scale, Nature 402, 794-797.
246. Kats-Demyanets V., 1996, Marangoni instability in liquid three layer systems, MSc thesis, Technion, Haifa.
247. Kats-Demyanets V., Oron A., Nepomnyashchy A. A., 1997, Marangoni instability in tri-layer systems, Eur. J. Mech. B/Fluids 16, 49-74.
248. Kawahara T., Toh S., 1985, Nonlinear dispersive periodic waves in the presence of instability and damping, Phys. Fluids 28, 1636-1638.
249. Kawasaki K., Ohta T., 1982, Kink dynamics in one-dimensional nonlinear systems, Physica A 116, 573-593.
250. Kazarinoff N. D., Wilkowski J. S., 1989, A numerical study of Marangoni flows in zone-refined silicon crystals, Phys. Fluids A 1, 625-627.
251. Kazarinoff N. D., Wilkowski J. S., 1990, Bifurcations of numerically simulated thermocapillary float zones, Phys. Fluids A 2, 1797-1807.
252. Khomenko G. A., Moiseev S. S., Tur A. V., 1991, The hydrodynamical alpha-effect in a compressible medium, J. Fluid Mech. 225, 335-369.
253. Kiseleva O. A., Sobolev V. D., Starov V. M., Churaev N. V., 1979, Changes in viscosity of water close to quartz surface, Colloid J. USSR 41, 192-197.
254. Kliakhandler I. L., Nepomnyashchy A. A., 1999, Kinetic instabilities of three-layer thermocapillary creeping flows, Phys. Fluids 11, 2139-2142.
255. Kliakhandler I. L., Nepomnyashchy A. A., Simanovskii I. B., Zaks M. A., 1998, Nonlinear Marangoni waves in multilayer systems, Phys. Rev. E 58, 5765-5775.
256. Kliakhandler I. L., Sivashinsky G. I., 1995, Kinetic alpha effect in viscosity stratified creeping flows, Phys. Fluids 7, 1866-1871.
257. Kliakhandler I. L., Sivashinsky G. I., 1997, Viscous damping and instabilities in stratified liquid film flowing down a slightly inclined plane, Phys. Fluids 9, 23-30.
258. Knobloch E., 1990, Pattern selection in long-wavelength convection, Physica D 41, 450-479.
259. Konig F., NeumannW., 2001, On the spatio-temporal flow phenomena in low Prandtl number melts, Part 1. The case of stationary vertical molten zones, Crystal Res. Techn. 36, 239-254.
260. Koplik J., Banavar J. R., Willemsen J. F., 1989, Molecular dynamics of fluid flow at solid surfaces, Phys. Fluids A 1, 781-794.
261. Koschmieder E. L., 1992, Bénard Cells and Taylor Vortices, Cambridge University Press, Cambridge.
262. Koschmieder E. L., Biggerstaff M. I., 1986, Onset of surface-tension- driven convection, J. Fluid Mech. 167, 49-64.
263. Koschmieder E. L., Prahl S., 1990, Surface-tension-driven Bénard convection in small containers, J. Fluid Mech. 215, 571-583.
264. Kovalchuk N. M., Vollhardt D., 2000, Autooscillations of surface tension in water-alcohol systems, J. Phys. Chem. B 104, 7987-7992.
265. Kovalchuk N. M., Vollhardt D., 2002, Theoretical description of repeated surfacetension auto-oscillations, Phys. Rev. E 66, 026302 (1-9).
266. Kovalchuk N. M., Vollhardt D., 2004, Effect of substance properties on the appearance and characteristics of repeated surface tension auto-oscillation driven by Marangoni force, Phys. Rev. E 69, 016307 (1-13).
267. Krasovitski B., Kimmel E., 2004, Shear stress induced by a gas bubble pulsating in an ultrasonic field near the wall, IEEE Trans. on Ultrasonics, Ferroelectrics, and Frequency Control 51, 973-979.
268. Krasovitski B., Kimmel E., Sapunar M., Adam D., 2004, Ultrasound attenuation by encapsulated microbubbles: time and pressure effects, Ultrasound in Med. and Biol. 30, 793-802.
269. Krishnamoorthy S., Ramaswamy B., Joo S. W., 1995, Spontaneous rupture of thin liquid films due to thermocapillarity: a full-scale direct numerical simulation, Phys. Fluids 7, 2291-2293.
270. Kuhlmann H. C., 1999, Thermocapillary Convection in Models of Crystal Growth, Springer-Verlag, Berlin.
271. Kuskova T. V., Chudov L. A., 1968, On approximate boundary conditions for vortex at calculation of the flows of viscous incompressible fluid, Comp. Meth. Programming 11, 27-31. In Russian.
272. Landau L. D., Lifshitz E. M., 1987, Fluid Mechanics, Pergamon Press, Oxford.
273. Langer J. S., 1980, Instabilities and pattern formation in crystal growth, Rev. Mod. Phys. 52, 1-28.
274. Lappa M., Savino R., 1999, Parallel solution of three-dimensional Marangoni flows in liquid bridges, Int. J. Numer. Meth. Fluids 31, 911-935.
275. Leger L., Joanny J. F., 1992, Liquid spreading, Rep. Prog. Phys. 55, 431-486.
276. Legros J.-C., 1986, Problems related to non-linear variations of surface tension, Acta Astr. 13, 697-703.
277. Legros J.-C., Géoris Ph., 1997, Oscillatory thermocapillary instability, report, Microgravity Research Center, Université Libre de Bruxelles.
278. Leizerson I., Lipson S. G., Lyushnin A. V., 2003, When larger drops evaporate faster?, Nature 422, 395-396.
279. Leshansky A.M., 2001, On the influence of mass transfer on coalescence of bubbles, Int. J. Multiphase Flow 27, 189-196.
280. Levchenko E. B., Chernyakov A. L., 1981, Instability of surface waves in a nonuniformly heated liquid, Sov. Phys. JETP 54, 102-105.
281. Levenstam M., Amberg G., 1995, Hydrodynamical instabilities of thermocapillary flow in a half-zone, J. Fluid Mech. 297, 357-372.
282. Levenstam M., Amberg G., Winkler C., 2001, Instabilities of thermocapillary convection in a half-zone at intermediate Prandtl numbers, Phys. Fluids 13, 807-816.
283. Levich V. G., 1962, Physicochemical hydrodynamics, Prentice Hall, Englewood Cliffs, N. J.
284. Levich V. G., 1981, The influence of surface-active substances on the motion of liquids, Physicochem. Hydr. 2, 85-94.
285. Levich V. G., Krylov V. S., 1969, Surface-tension-driven phenomena, Annu. Rev. Fluid Mech. 1, 293-316.
286. Leypoldt J., Kuhlmann H. C., Rath H. J., 2000, Three-dimensional numerical simulation of thermocapillary flows in cylindrical liquid bridges, J. Fluid Mech. 414, 285-314.
287. Li C. H., 1969, Instability of 3-layer viscous stratified fluid, Phys. Fluids 7, 2473-2481.
288. Lifshitz E. M., 1956, The theory of molecular attractive forces between solids, Sov. Phys. JETP 2, 73-83.
289. Lifshitz E. M., Pitaevskii L. P., 1981, Physical Kinetics, Pergamon Press, Oxford.
290. Lin Z. Q., Kerle T., Baker S.M., Hoagland D. A., Schaffer E., Steiner U., Russel T. P., 2001, Electric field induced instabilities at liquid-liquid interfaces, J. Chem. Phys. 114, 2377-2381.
291. Lin Z. Q., Kerle T., Russel T. P., Schaffer E., Steiner U., 2002a, Structure formation at the interface of liquid-liquid bilayer in electric field, Macromolecules 35, 3971-3976.
292. Lin Z. Q., Kerle T., Russel T. P., Schaffer E., Steiner U., 2002b, Electric field induced dewetting at polymer/polymer interfaces, Macromolecules 35, 6255-6262.
293. Linde H., Schwarz P., Wilke H., 1979, Dissipative structures and nonlinear kinetics of the Marangoni instability, in Dynamics and Instability of Fluid Interfaces, edited by T. S. Sorensen, Springer-Verlag, Berlin, 75-119.
294. Lopez J. C., Bankoff S. G., Miksis M. J., 1996, Non-isothermal spreading of a thin liquid film on an inclined plane, J. Fluid Mech. 324, 261-286.
295. Low H. T., Chew Y. T., Zhou C. W., 1997, Pulmonary airway reopening: effects of non-Newtonian fluid viscosity, J. Biomech. Eng. - Trans. ASME 119, 298-308.
296. Lu X. Y., Cao C. D., Wei B., 2001, Microstructure evolution of undercooled ironcopper hypoperitectic alloy, Mater. Sci. Eng. A 313, 198-206.
297. Lucassen J., 1968, Longitudinal capillary waves, Part 1. Theory, Trans. Faraday Soc. 64, 2221-2229;
298. Part 2. Experiments, Trans. Faraday Soc. 64, 2230-2235.
299. Lucassen-Reynders E. H., Lucassen J., 1969, Properties of capillary waves, Adv. Colloid Interface Sci. 2, 347-395.
300. Lyubimov D. V., Lyubimova T. P., Meradji S., Roux B., 1997, Vibrational control of crystal growth from liquid phase, J. Crystal Growth 180, 648-659.
301. Lyubimov D. V., Zaks M. A., 1983, Two mechanisms of the transition to chaos in finite-dimensional models of convection, Physica D 9, 52-64.
302. Lyushnin A. V., Golovin A. A., Pismen L. M., 2002, Fingering instability of thin evaporating liquid films, Phys. Rev. E 65, 021602 (1-7).
303. Mackie A. D., Avalos J. B., Navas V., 1999, Dissipative particle dynamics with energy conservation: modelling of heat flow, Phys. Chem. Chem. Phys. 1, 2039-2049.
304. Madruga S., Perez-Garcia C., Lebon G., 2003, Convective instabilities in two superposed horizontal liquid layers heated laterally, Phys. Rev. E 68, 041607 (1-12).
305. Madruga S., Perez-Garcia C., Lebon G., 2004, Instabilities in two-liquid layers subject to a horizontal temperature gradient, Theoret. Comput. Fluid Dynamics 18, 277-284.
306. Maillard M., Motte L., Ngo A. T., Pileni M. P., 2000, Rings and hexagons made of nanocrystals: a Marangoni effect, J. Phys. Chem. B 104, 11,871-11,877.
307. Majda A., Pego R. L., 1985, Stable viscosity matrices for systems of conservation laws, J. Diff. Eq. 56, 229-262.
308. Mancho A. M., Riecke H., Sain F., 2002, Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection, Chaos 12, 706-718.
309. Mancini H., Maza D., 2004, Pattern formation without heating in an evaporative convection experiment, Europhys. Lett. 66, 812-818.
310. Margerit J., Colinet P., Lebon G., Iorio C. S., Legros J. C., 2003, Interfacial nonequilibrium and Bénard-Marangoni instability of a liquid-vapour system, Phys. Rev. E 68, 041601 (1-14).
311. Margerit J., Dondlinger M., Dauby P. C., 2005, Improved 1.5 - sided model for the weakly nonlinear study of Bénard - Marangoni instabilities in an evaporating liquid layer, J. Colloid Interface Sci. 290, 220-230.
312. Martincigh B. S., Chinake C. R., Howes T., Simoyi R. H., 1997, Self-organization with traveling waves: a case for a convective torus, Phys. Rev. E 55, 7299-7303.
313. Martincigh B. S., Hauser M. J. B., Simoyi R. H., 1995, Formation of thermal plumes in an autocatalytic exothermic chemical reaction, Phys. Rev. E 52, 6146-6153.
314. Martinez M. J., Udell K. S., 1989, Boundary integral analysis of creeping flow of long bubbles in capillaries, J. Appl. Mech. - Trans. ASME 56, 211-217.
315. Maruyama N., Koito T., Nishida J., Sawadaishi T., Cieren X., Ijiro K., Karthaus O., Shimomura M., 1998, Mesoscopic patterns of molecular agregates on solid substrates, Thin Solid Films 327 - 329, 854-856.
316. Matthiessen K., Wilke H., Müller S. C., 1996, Influence of surface tension changes on hydrodynamic flow induced by traveling chemical waves, Phys. Rev. E 53, 6056-6060.
317. McNamara G., Zanetti G., 1988, Use of the Boltzmann equation to simulate lattice gas automata, Phys. Rev. Lett. 61, 2332-2335.
318. McTaggart C. L., 1983, Convection driven by concentration- and temperaturedependent surface tension, J. Fluid Mech. 134, 301-310.
319. Melnikov D., 2004, Development of numerical code for the study of Marangoni convection, PhD thesis, Université Libre de Bruxelles.
320. Mendes-Tatsis M. A., Agble D., 2000, The effect of surfactants on Marangoni convection in the isobutanol/water system, J. Non-Equilib. Thermodyn. 25, 239-249.
321. Mendes-Tatsis M. A., Perez de Ortiz E. S., 1996, Marangoni instabilities in systems with an interfacial chemical reaction, Chem. Eng. Sci. 51, 3755-3761.
322. Merkt D., Bestehorn M., 2003, Benard-Marangoni convection in a strongly evaporating fluid, Physica D 185, 196-208.
323. Merkt D., Pototsky A., BestehornM., Thiele U., 2005, Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short- and long-time evolution, Phys. Fluids 17, 064104 (1-20).
324. Miladinova S., Lebon G., 2005, Effect of nonuniform heating and thermocapillarity in evaporating films falling down an inclined plate, Acta Mech. 174, 33-49.
325. Mityushev P. V., Krylov V. S., 1986, Hydrodynamic instabilities caused by electric forces acting upon electrolyte solution surfaces, Sov. Electrochem. 22, 520-524.
326. Moffat H. K., 1964, Viscous and resistive eddies near a sharp corner, J. Fluid Mech. 18, 1-18.
327. Moiseev S. S., Sagdeev R. Z., Tur A. V., Khomenko G. A., Yanovskii V. V., 1983, Theory of the origin of large-scale structures in hydrodynamical turbulence, Sov. Phys. JETP 58, 1149-1153.
328. Moussy C., Lebon G., Margerit J., 2004, Influence of evaporation on Bénard-Marangoni instability in a gas-liquid bilayer with a deformable interface, Eur. Phys. J. B 40, 327-335.
329. Mukai K., Lei Z. X., Segawa H., Wang Z., Izu D., 2003, Behaviour of bubbles in liquid caused by Marangoni effect in relation to steel refining process, High Temp. Mat. Proc. 22, 309-317.
330. Munakata T., Someya S., Tanasawa I., 2002, Suppression of Marangoni convection in the FZ melt by high-frequency magnetic field, J. Crystal Growth 235, 167-172.
331. Nagai K., Sumino Y., Kitahata H., Yoshikawa K., 2005, Mode selection in the spontaneous motion of an alcohol droplet, Phys. Rev. E 71, 065301 (1-6) (R).
332. Nagayama M., Nakata S., Doi Y., Hayashima Y., 2004, A theoretical and experimental study on the unidirectional motion of a camphor disk, Physica D 194, 151-165.
333. Naire S., Jensen O. E. 2003, An asymptotic model of unsteady airway reopening, J. Biomech. Eng. - Trans. ASME 125, 823-831.
334. Nakache E., Dupeyrat M., Lemaire J., 1986, Enhanced recovery of metals by liquidliquid extraction: influence of the interfacial properties of the extractant, J. Chem. Phys. 83, 339-342.
335. Nakache E., Dupeyrat M., Vignes-Adler M., 1983, Experimental and theoretical study of an interfacial instability at some oil-water interfaces involving a surface-active agent: I. Physicochemical description and outlines for a theoretical approach, J. Colloid Interface Sci. 94, 120-127.
336. Nakache E., Raharimalala S., 1988, Interfacial convection driven by surfactant compounds at liquid interfaces: Characterization by a solutal Marangoni number, in Physicochemical Hydrodynamics: Interfacial Phenomena, NATO ASI Series, Series B, edited by M. G. Velarde, Plenum Press, New York, 359-366.
337. Nakata S., Iguchi Y., Ose S., Kuboyama M., Ishii T., Yoshikawa K., 1997, Selfrotation of a camphor scraping on water: new insight into the old problem, Langmuir 13, 4454-4458.
338. Napolitano L. G., 1978, Thermodynamics and dynamics of pure interfaces, Acta Astronaut. 5, 655-670.
339. Nataf H. C., Moreno S., Cardin Ph., 1988, What is responsible for thermal coupling in layered convection?, J. Phys. (France) 49, 1707-1714.
340. Naureckas E. T., Dawson C. A., Gerber B. S., Gaver III D. P., Gerber H. L., Linehan J. H., Solway J., Samsel R.W., 1994, Airway reopening pressure in isolated rat lungs, J. Appl. Physiol. 76, 1372-1377.
341. Nekorkin V. I., Velarde M. G., 1994, Solitary waves of a dissipative Korteweg-de Vries equation describingMarangoni-Bénard convection and other thermoconvective instabilities, Int. J. Bifurc. Chaos 4, 1135-1146.
342. Neogi P., Berryman J., 1982, Stability of thin liquid films evaporating into saturated vapor, J. Colloid Interface Sci. 88, 100-110.
343. Nepomnyashchy A. A., 1976, Wavy motions in the layer of viscous fluid flowing down the inclined plane, in Fluid Dynamics, Part 8, Proc. of Perm State University 362, 114-124. In Russian.
344. Nepomnyashchy A., Golovin A., Volpert V., Tikhomirova A., 2005, Interfacial phenomena in evaporation of binary mixtures, in Proc. of 10th National Congress on Theoretical and Applied Mechanics, Varna, Bulgaria, in press.
345. Nepomnyashchy A. A., Simanovskii I. B., 1983a, Thermocapillary convection in a two-layer system, Sov. Phys. Doklady 28, 838-839.
346. Nepomnyashchy A. A., Simanovskii I. B., 1983b, Thermocapillary convection in a two-layer system, Fluid Dyn. 18, 629-633.
347. Nepomnyashchy A. A., Simanovskii I. B., 1984, Thermocapillary and thermogravitational convection in a two-layer system with a distorted interface, Fluid Dyn. 19, 494-499.
348. Nepomnyashchy A. A., Simanovskii I. B., 1986, On the onset of the thermocapillary convection in the presence of surfactants, Fluid Dyn. 21, 169-174.
349. Nepomnyashchy A. A., Simanovskii I. B., 1988, Generation of the thermocapillary convection in a two-layer system with the soluble surfactant, Fluid Dyn. 23, 302-306.
350. Nepomnyashchy A. A., Simanovskii I. B., 1989a, Generation of the thermogravitational convection with the soluble surfactant on the interface, Zh. Prikl. Mekh. Tekhn. Fiz. 1, 146-149. In Russian.
351. Nepomnyashchy A. A., Simanovskii I. B., 1989b, Generation of the oscillatory convection in two-layer systems due to the surfactant on the interface, Sov. Phys. Doklady 34, 420-422.
352. Nepomnyashchy A. A., Simanovskii I. B., 1990a, Generation of convection when heating from above and heat release at the interface, Fluid Dyn. 25, 340-343.
353. Nepomnyashchy A. A., Simanovskii I. B., 1990b, Long-wave thermocapillary convection in layers with a deformable interface, J. Appl. Math. Mech. 54, 490-496.
354. Nepomnyashchy A. A., Simanovskii I. B., 1990c, Generation of the thermocapillary convection in a two-layer system with heat release at the interface, Zh. Prikl. Mekh. Tekhn. Fiz. 1, 69-73. In Russian.
355. Nepomnyashchy A. A., Simanovskii I. B., 1991, Onset of oscillatory thermocapillary convection in systems with a deformable interface, Fluid Dyn. 26, 484-488.
356. Nepomnyashchy A. A., Simanovskii I. B., 1992, Onset of thermocapillary convection in systems with surfactant at the deformable interface, Zh. Prikl. Mekh. Tekhn. Fiz. 3, 73-79. In Russian.
357. Nepomnyashchy A. A., Simanovskii I. B., 1995, Oscillatory convection instabilities in systems with an interface, Int. J. Multiphase Flow 21, 129-139.
358. Nepomnyashchy A. A., Simanovskii I. B., 1997, New types of longwave oscillatory Marangoni instabilities in multilayer systems, Q. J. Mech. Appl. Math. 50, 149-163.
359. Nepomnyashchy A. A., Simanovskii I. B., 1999, Combined action of different mechanisms of convective instability in multilayer systems, Phys. Rev. E 59, 6672-6686.
360. Nepomnyashchy A. A., Simanovskii I. B., 2001, Nonlinear investigation of anticonvection and Rayleigh-Bénard convection in systems with heat release on the interface, Eur. J. Mech. B/Fluids 20, 75-86.
361. Nepomnyashchy A. A., Simanovskii I. B., 2002, Combined action of anticonvective and thermocapillary mechanisms of instability, Phys. Fluids 14, 3855-3867.
362. Nepomnyashchy A. A., Simanovskii I. B., 2003, Influence of buoyancy on thermocapillary oscillations in a two-layer system, Phys. Rev. E 68, 026301 (1-8).
363. Nepomnyashchy A. A., Simanovskii I. B., 2004, Influence of thermocapillary effect and interfacial heat release on convective oscillations in a two-layer system, Phys. Fluids 16, 1127-1139.
364. Nepomnyashchy A. A., Simanovskii I. B., 2006, Convective flows in a two-layar system with a temperature gradient along the interface, Phys. Fluids 18, 032105 (1-7)
365. Nepomnyashchy A. A., Simanovskii I. B., Boeck Th., Golovin A. A., Braverman L. M., Thess A., 2003, Convective instabilities in layered systems, in Lecture Notes in Physics, Springer-Verlag, Berlin, 21-44.
366. Nepomnyashchy A. A., Simanovskii I. B., Braverman L. M., 2000, Anticonvection in systems with heat release on the interface, Phys. Fluids 12, 1129-1132.
367. Nepomnyashchy A. A., Simanovskii I. B., Braverman L. M., 2001, Stability of thermocapillary flows with inclined temperature gradient, J. Fluid Mech. 442, 141-155.
368. Nepomnyashchy A. A., Simanovskii I. B., Braverman L. M., 2005, Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect, Phys. Fluids 17, 022103 (1-9).
369. Nepomnyashchy A. A., Velarde M. G., 1994, A three-dimensional description of solitary waves and their interaction in Marangoni-Bénard layers, Phys. Fluids 6, 187-198.
370. Nguyen V. X., Stebe K. J., 2002, Patterning of small particles by a surfactantenhanced Marangoni-Bénard instability, Phys. Rev. Lett. 88, 164501 (1-4).
371. Nield D. A., 1977, Onset of convection in a fluid layer overlying a layer of porous medium, J. Fluid Mech. 81, 513-522.
372. Nir A., 1976, Linear shear flow past a porous particle, Appl. Sci. Res. 32, 313-325.
373. Noble R. D., Douglas Way J., 1987, Liquid membrane technology: an overview, in Liquid membranes: theory and applications, ACS Symp. Series, American Chemical Society, Washington, DC.
374. Or A. C., Kelly R. E., 2001, Feedback control of weakly nonlinear Rayleigh-Bénard-Marangoni convection, J. Fluid Mech. 440, 27-47.
375. Or A. C., Kelly R. E., Cortelezzi L., Speyer J. L., 1999, Control of long-wavelength Marangoni-Bénard convection, J. Fluid Mech. 387, 321-341.
376. Oron A., 2000, Nonlinear dynamics of irradiated thin volatile liquid films, Phys. Fluids 12, 29-41.
377. Oron A., Bankoff S. G., 1999, Dewetting of a heated surface by an evaporating liquid film under conjoining/disjoining pressures, J. Colloid Interface Sci. 218, 152-166.
378. Oron A., Bankoff S. G., 2001, Dynamics of a condensing liquid film under conjoining/disjoining pressures, Phys. Fluids 13, 1107-1117.
379. Oron A., Davis S. H., Bankoff S. G., 1997, Long-scale evolution of thin liquid films, Rev. Mod. Phys. 69, 931-980.
380. Oron A., Nepomnyashchy A. A., 2004, Long-wavelength thermocapillary instability with the Soret effect, Phys. Rev. E 69, 016313 (1-17).
381. Oron A., Rosenau Ph., 1997, Evolution and formation of dispersive-dissipative patterns, Phys. Rev. E 55, R1267-R1270.
382. Osher S. J., Sethian J. A., 1988, Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys. 79, 12-49.
383. Ostrach S., 1982, Low-gravity fluid flows, Annu. Rev. Fluid Mech. 14, 313-345.
384. Padmakar A., Kargupta K., Sharma A., 1999, Instability and dewetting of evaporating thin water films on partially and completely wettable substrates, J. Chem. Phys. 110, 1735-1744.
385. Palmer H. J., 1976, The hydrodynamic stability of rapidly evaporating liquids at reduced pressure, J. Fluid Mech. 75, 487-511.
386. Palmer H. J., Berg J. C., 1972, Hydrodynamic stability of surfactant solutions, heated from below, J. Fluid Mech. 51, 385-402.
387. Palmer H. J., Maheshri J. C., 1981, Enhanced interfacial heat transfer by differential vapor recoil instabilities, Int. J. Heat Mass Transfer 24, 117-123.
388. Park C.-W., Homsy G. M., 1984, Two-phase displacement in Hele-Shaw cells: Theory, J. Fluid Mech. 139, 291-308.
389. Parmentier P. M., Regnier V. C., Lebon G., 1993, Buoyant-thermocapillary instabilities in medium-Prandtl-number fluid layers subject to a horizontal temperature gradient, Int. J. Heat Mass Transfer 36, 2417-2427.
390. Parmentier P. M., Regnier V. C., Lebon G., Legros J.-C., 1996, Nonlinear analysis of coupled gravitational and capillary thermoconvection in thin fluid layers, Phys. Rev. E 54, 411-423.
391. Patankar S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
392. Paunov V. M., Danov K. D., Alleborn N., Raszillier H., Durst F., 1998, Stability of evaporating two-layered liquid film in the presence of surfactant - III. Non-linear stability analysis, Chem. Eng. Sci. 53, 2839-2857.
393. Pearson J. R., 1958, On convection cells induced by surface tension, J. Fluid Mech. 4, 489-500.
394. Peng J., Han Y., Yang Y., 2004, The influencing factors on the macroporous formation in polymer films by water droplet templating, Polymer 45, 447-452.
395. Perestenko O. V., Ingel L. Kh., 1991, On one possible type of convective instability in the ocean-atmosphere system, Izv. Akad. Nauk SSSR, Fiz. Atmosf. Okeana 27, 408-418.
396. Perestenko O. V., Ingel L. Kh., 1995, The occurence of moist 'anticonvection' in a water-air system, J. Fluid Mech. 287, 1-20.
397. Perez de Ortiz E. S., Sawistowski H., 1973a, Interfacial stability of binary liquidliquid systems, I. Stability analysis, Chem. Eng. Sci. 28, 2051-2061.
398. Perez de Ortiz E. S., Sawistowski H., 1973b, Interfacial stability of binary liquidliquid systems, II. Stability behaviour of selected systems, Chem. Eng. Sci. 28, 2063-2069.
399. Perry R. H., 1997, Perry's Chemical Engineers' Handbook.
400. Perun M. L., Gaver III D. P., 1995a, An experimental-model investigation of the opening of a collapsed untethered pulmonary airway, J. Biomech. Eng. - Trans. ASME 117, 245-253.
401. Perun M. L., Gaver III D. P., 1995b, Interaction between airway lining fluid forces and parenchymal tethering during pulmonary airway reopening, J. Appl. Physiol. 79, 1717-1728.
402. Petrov V., Haaning A.,Muehlner K. A., Van Hook S. J., Swinney H. L., 1998, Modelindependent nonlinear control algorithm with application to a liquid bridge experiment, Phys. Rev. E 58, 427-433.
403. Petrov V., Schatz M. F., Muehlner K. A., Van Hook S. J., McCormick W. D., Swift J. B., Swinney H. L., 1996, Nonlinear control of remote unstable states in a liquid bridge convection experiment, Phys. Rev. Lett. 77, 3779-3782.
404. Peyret R., Taylor D., 1990, Computational Methods for Fluid Flow, Springer-Verlag, Berlin.
405. Pismen L. M., 1986a, Inertial effects in long-scale thermal convection, Phys. Lett. A 116, 241-244.
406. Pismen L. M., 1986b, Nonlinear dynamics of dissipative wave patterns near a bifurcation point, Dyn. Stabil. Syst. 1, 97-113.
407. Pismen L. M., 1988, Selection of long-scale oscillatory convective patterns, Phys. Rev. A 38, 2564-2572.
408. Pismen L. M., 1997, Interaction of reaction-diffusion fronts and Marangoni flow on the interface of a deep fluid, Phys. Rev. Lett. 78, 382-385.
409. Pismen L. M., 2001, Nonlocal diffuse interface theory of thin films and the moving contact line, Phys. Rev. E 64, 021603 (1-9).
410. Pismen L. M., 2002, Mesoscopic hydrodynamics of contact line motion, Colloids and Surfaces 206, 11-30.
411. Pismen L. M., 2004, Spinodal dewetting in a volatile liquid film, Phys. Rev. E 70, 021601 (1-9).
412. Pismen L. M., Pomeau Y., 2000, Disjoining potential and spreading of thin liquid layers in the diffuse-interface model coupled to hydrodynamics, Phys. Rev. E 62, 2480-2492.
413. Pismen L. M., Pomeau Y., 2004, Mobility and interactions of weakly nonwetting droplets, Phys. Fluids 16, 2604-2612.
414. Pitois O., François B., 1999a, Crystallization of condensation droplets on a liquid surface, Colloid and Polymer Sci. 277, 574-578.
415. Pitois O., François B., 1999b, Formation of ordered micro-porous membranes, Eur. Phys. J. B 8, 225-231.
416. Podgorski A., Gradon L., 1993, An improved mathematical model of hydrodynamic self-cleansing of pulmonary alveoli, Annu. Occup. Hyg. 37, 347-365.
417. Pojman J. A., Craven R., Khan A., West W., 1992, Convective instabilities in traveling fronts of additional polymerization, J. Phys. Chem. 96, 7466-7472.
418. Pomeau Y, Vannimenus J., 1984, Contact angle of heterogeneous surfaces: weak heterogeneities, J. Colloid Interface Sci. 104, 477-488.
419. Pontes J., Christov C. I., Velarde M. G., 1996, Numerical study of patterns and the evolution in finite geometries, Int. J. Bifurc. Chaos 6, 1883-1890.
420. Pototsky A., Bestehorn M., Merkt D., Thiele U., 2004, Alternative pathways of dewetting for a thin liquid two-layer film, Phys. Rev. E 1, 2039-2049.
421. Pototsky A., Bestehorn M., Merkt D., Thiele U., 2005, Morphology changes in the evolution of liquid two-layer films, J. Chem. Phys. 122, 224711 (1-13).
422. Poulard C., Benichou O., Cazabat A., 2003, Freely receding evaporating droplets, Langmuir 19, 8828-8834.
423. Poulikakos D., 1986, Buoyancy-driven convection in a horizontal fluid layer extended over a porous substrate, Phys. Fluids 29, 3949-3957.
424. Prakash A., Koster J. N., 1993, Natural and thermocapillary convection in three layers, Eur. J. Mech. B/Fluids 12, 635-655.
425. Prakash A., Koster J. N., 1994a, Convection in multiple layers of immiscible liquids in a shallow cavity I. Steady natural convection, Int. J. Multiphase Flow 20, 383-396.
426. Prakash A., Koster J. N., 1994b, Convection in multiple layers of immiscible liquids in a shallow cavity II. Steady thermocapillary convection, Int. J. Multiphase Flow 20, 397-414.
427. Prakash A., Koster J. N., 1996, Steady Rayleigh-Bénard convection in a two-layer system of immiscible liquids, J. Heat Transfer 118, 366-373.
428. Prasad V., 1991, Convective flow interaction and heat transfer between fluid and porous layers, in Convective Heat and Mass Transfer in Porous Media, edited by S. Kakaç, B. Kilkis, F. A. Kulacki, and F. Arinç, Kluwer Academic, Dordrecht, 563-615.
429. Prévost M., Gallez D., 1986, Nonlinear rupture of thin free liquid films, J. Chem. Phys. 84, 4043-4048.
430. Priede J., Gerbeth, G., 1997, Convective, absolute, and global instabilities of thermocapillary-buoyancy convection in extended layers, Phys. Rev. E 56, 4187-4199.
431. Priede J., Gerbeth G., 2000, Hydrothermal wave instability of thermocapillary-driven convection in a transverse magnetic field, J. Fluid Mech. 404, 211-250.
432. Pshenichnikov A. F., Tokmenina G. A., 1983, Deformation of the free surface of a liquid by thermocapillary motion, Fluid Dyn. 18, 463-465.
433. Pukhnachev V. V., 1987, Thermocapillary Convection at Reduced Gravitation, Institute of Hydrodynamics SB AS USSR, Novosibirsk.
434. Pumir A. and Blumenfeld L., 1996, Heat transport in a liquid layer locally heated on its free surface, Phys. Rev. E 54, R4528-R4531.
435. Rabinovich L. M., Vyazmin A. V., Buyevich Y. A., 1995, Chemo-Marangoni convection. III. Interface mass transfer, J. Colloid Interface Sci. 173, 1-7.
436. Ramaswamy B., Krishnamoorthy S., Joo S. W., 1997, Three-dimensional simulation of instabilities and rivulet formation in heated falling films, J. Comp. Phys. 131, 70-88.
437. Ramon M. L., Maza D. M., Mancini H. L., 1999, Patterns in small aspect ratio Benard-Marangoni convection, Phys. Rev. E 60, 4193-4198.
438. Ramon M. L., Maza D. M., Mancini H. L., Mancho A. M., Herrero H., 2001, Hexagonal structure in intermediate aspect ratio Benard-Marangoni convection, Int. J. Bifurc. Chaos 11, 2779-2787.
439. Raphael E., de Gennes P. G., 1989, Dynamics of wetting with nonideal surfaces. The single defect problem, J. Chem. Phys. 90, 7577-7584.
440. Rasenat S., Busse F. H., Rehberg I., 1989, A theoretical and experimental study of double-layer convection, J. Fluid Mech. 199, 519-540.
441. Ratke L., Walter H., Feuerbacher B. (editors), 1989, Material and Fluid under Low Gravity, Springer-Verlag, Berlin.
442. Ratulowski J., Chang H.-C., 1989, Transport of gas bubbles in capillaries, Phys. Fluids A 1, 1642-1655.
443. Rednikov A. Ye., Colinet P., Velarde M. G., Legros J. C., 1998, Two-layer Bénard-Marangoni instability and the limit of transverse and longitudinal waves, Phys. Rev. E 57, 2872-2884.
444. Rednikov A. Ye., Colinet P., Velarde M. G., Legros J. C., 2000, Rayleigh-Marangoni oscillatory instability in a horizontal liquid layer heated from above: coupling and mode mixing of internal and surface dilational waves, J. Fluid Mech. 405, 57-77.
445. Redon C., Brochart-Wyart F., Rondelez F., 1992, Festoon instabilities of slightly volatile liquids during spreading, J. Physique II 2, 1671-1676.
446. Regel L. A., 1987, Material Science in Space, Halsted, New York.
447. Reichenbach J., Linde H., 1981, Linear perturbation analysis of surface-tensiondriven convection at a plane interface (Marangoni instability), J. Colloid Interface Sci. 84, 433-443.
448. Reinelt D. A., Saffman P. G., 1985, The penetration of a finger into a viscous fluid in a channel and tube, SIAM J. Sci. Stat. Comp. 6, 542-561.
449. Reiter G., 1992, Dewetting of thin polymer films, Phys. Rev. Lett. 68, 75-78.
450. Renardy Y. Y., 1986, Interfacial stability in a two-layer Bénard problem, Phys. Fluids 29, 356-363.
451. Renardy Y. Y., 1996, Pattern formation for oscillatory bulk-mode competition in a two-layer Bénard problem, Z. Angew. Math. Phys. 47, 567-590.
452. Renardy Y. Y., Joseph D. D., 1985, Oscillatory instability in a Bénard problem of two-fluids, Phys. Fluids 28, 788-793.
453. Riley R. J., Neitzel G. P., 1998, Instability of thermocapillary-buoyancy convection in shallow layers, Part 1. Characterization of steady and oscillatory instabilities, J. Fluid Mech. 359, 143-164.
454. Rosenblat S., Davis S. H., Homsy G.M., 1982a, Non-linear Marangoni convection in bounded layers, Part 1. Circular cylindrical containers, J. Fluid Mech. 120, 91-122.
455. Rosenblat S., Homsy G. M., Davis S. H., 1982b, Non-linear Marangoni convection in bounded layers, Part 2. Rectangular cylindrical containers, J. Fluid Mech. 120, 123-138.
456. Rother M. A., Davis R. H., 1999, The effect of slight deformation on thermocapillarydriven droplet coalescence and growth, J. Colloid Interface Sci. 214, 297-318.
457. Rowlinson J. S.,Widom B., 1982, Molecular Theory of Capillarity, Clarendon Press, Oxford.
458. Roze C., Gouesbet G., 1997, Complex 1D spatio-temporal behaviour generated by hot wire heating below an interface, Phys. Lett. A 227, 79-86.
459. Ruckenstein E., Berbente C., 1964, The occurence of interfacial turbulence in the case of diffusion accompanied by chemical reaction, Chem. Eng. Sci. 19, 329-347.
460. Ruckenstein E., Jain R. K., 1974, Spontaneous rupture of thin liquid films, J. Chem. Soc. Faraday Trans. II 70, 132-147.
461. Ruckenstein E., Rajora P., 1983, On the no-slip boundary condition of hydrodynamics, J. Colloid Interface Sci. 96, 488-491.
462. Rudraiah N., Prasad V., 1998, Effect of Brinkman boundary layer on the onset of Marangoni convection in a fluid-saturated porous layer, Acta Mech. 127, 235-246.
463. Rupp R., Müller G., Neumann G., 1989, Three-dimensional time dependent modelling of the Marangoni convection in zone melting configurations for GaAs, J. Crystal Growth 97, 34-41.
464. Sain F., Riecke H., 2000, Instabilities and spatio-temporal chaos in hexagon patterns with rotation, Physica D 144, 124-141.
465. Sammarco T. S., Burns M. A., 1999, Thermocapillary pumping of discrete droplets in microfabricated analysis devices, AIChE J. 45, 350-366.
466. Sanfeld A., Steinchen A., 1975, Coupling between a transconformation surface reaction and hydrodynamic motion, Biophys. Chem. 3, 99-106.
467. Sass V., Kuhlmann H. C., Rath H. J., 1996, Investigation of three-dimensional thermocapillary convection in a cubic container by a multi-grid method, Int. J. HeatMass Transfer 39, 603-613.
468. Sassaroli E., Hynynen K., 2004, Forced linear oscillations of microbubbles in blood capillaries, J. Acoust. Soc. Am. 115, 3235-3243.
469. Savino R., Monti R., 1996, Oscillatory Marangoni convection in cylindrical liquid bridges, Phys. Fluids 9, 2906-2915.
470. Savino R., Paterna D., Lappa M., 2003, Marangoni flotation of liquid droplets, J. Fluid Mech. 479, 307-326.
471. Sawistowski H., 1971, Interfacial phenomena, in Recent Advances in Liquid-Liquid Extraction, edited by C. Hanson, Pergamon Press, Oxford.
472. Scanlon J. W., Segel L. A., 1967, Finite-amplitude cellular convection induced by surface tension, J. Fluid Mech. 30, 149-162.
473. Scardovelli R., Zaleski S., 1999, Direct numerical simulation of free-surface and interfacial flow, Annu. Rev. Fluid Mech. 31, 567-603.
474. Schatz M. F., Van-Hook S. J., McCormic W. D., Swift J. B., Swinney H. L., 1995, Onset of surface-tension-driven Bénard convection, Phys. Rev. Lett. 75, 1938-1941.
475. Schramm R., Reineke H., 1978, Numerical convection in a horizontal layer of two different fluids with internal heat sources, in Proceedings of the 6th International Heat Transfer Conference (Toronto), 299-304.
476. Schwabe D., Frank S., 1999, Experiments on the transition to chaotic thermocapillary flow in floating zones under microgravity, Adv. Space Res. 24, 1391-1396.
477. Schwabe D., Möller U., Schneider J, Scharmann A., 1992, Instabilities of shallow dynamic thermocapillary liquid layers, Phys. Fluids A 4, 2638-2381.
478. Schwartz L. W., Roy R. V., Eley R. R., Petrash S., 2001, Dewetting patterns in a drying liquid film, J. Colloid Interface Sci. 214, 363-374.
479. Series R.W., Hurle D. T. J., 1991, The use of magnetic fields in semiconductor crystal growth, J. Crystal Growth 113, 305-328.
480. Sethian J. A., Smereka P., 2003, Level set methods for fluid interfaces, Annu. Rev. Fluid Mech. 35, 341-372.
481. Sharma A., 1993, Relationship of thin film stability and morphology to macroscopic parameters of wetting in the apolar and polar systems, Langmuir 9, 861-869.
482. Sharma A., 2003, Many paths to dewetting of thin films: anatomy and physiology of surface instability, Eur. Phys. J. E 12, 397-408.
483. Sharma A., Khanna R., 1998, Pattern formation in unstable thin liquid films, Phys. Rev. Lett. 81, 3463-3466.
484. Sharma A., Ruckenstein E., 1986a, An analytical nonlinear theory of thin film rupture and its application to wetting films, J. Colloid Interface Sci. 113, 456-479.
485. Sharma, A., Ruckenstein E., 1986b, Rupture of thin free films with insoluble surfactants: nonlinear aspects, AIChE Symp. Ser. 252, 130-144.
486. Sherwood T. S.,Wei J. C., 1957, Interfacial phenomena in liquid extraction, Ind. Eng. Chem. 49, 1030-1034.
487. Shevtsova V.M., Melnikov D. E., Legros J.-C., 2001, Three-dimensional simulations of hydrodynamic instability in liquid bridges: Influence of temperature-dependent viscosity, Phys. Fluids 13, 2851-2865.
488. Shevtsova V. M., Melnikov D. E., Legros J.-C., 2003a, Multistability of the oscillatory thermocapillary convection in liquid bridge, Phys. Rev. E 68, 066311 (1-13).
489. Shevtsova V. M., Nepomnyashchy A. A., Legros J.-C., 2003b, Thermocapillarybuoyancy convection in shallow cavity heated from the side, Phys. Rev. E 67, 066308 (1-14).
490. Shevtsova V.M., Simanovskii I. B., Nepomnyashchy A. A., Legros J.-C., 2005, Thermocapillary convection in a three-layer system with the temperature gradient directed along the interfaces, Compt. Rend. Mecan. 333, 311-318.
491. Shikhmurzaev Yu. D., 1997, Moving contact lines in liquid/liquid/solid systems, J. Fluid Mech. 334, 211-249.
492. Shioi A., Kumagai H., Sugiura Y., Kitayama Y., 2002, Oscillations of interfacial tension and spontaneous interfacial flow at a water/oil interface composed of di-(2-ethylhexyl) phosphoric acid, Langmuir 18, 5516-5522.
493. Shiomi J., Amberg G., 2002, Active control of a global thermocapillary instability, Phys. Fluids 14, 3039-3045.
494. Shiomi J., Amberg G., 2005a, Numerical investigation of feedback control of thermocapillary instability, Phys. Fluids 17, 054107 (1-12).
495. Shiomi J., Amberg G., 2005b, Proportional control of oscillatory thermocapillary convection in a toy model, Eur. J. Mech. B/Fluids 24, 296-313.
496. Shiomi J., Amberg G., Alfredsson H., 2001, Active control of oscillatory thermocapillary convection, Phys. Rev. E 64, 031205 (1-7).
497. Shiomi J., Kudo M., Ueno I., Kawamura H., Amberg G., 2003, Feedback control of oscillatory thermocapillary convection in a half-zone liquid bridge, J. Fluid Mech. 496, 193-211.
498. Shtilman L., Sivashinsky G., 1991, Hexagonal structure of large-scale Marangoni convection, Physica D 52, 477-488.
499. Silber M., Knobloch E., 1991, Hopf bifurcation on a square lattice, Nonlinearity 4, 1063-1106.
500. Silvi N., Dussan V E. B., 1985, On the rewetting of an inclined solid-surface by a liquid, Phys. Fluids 28, 5-7.
501. Simanovskii I. B., 1979a, Finite-amplitude convection in a two-layer system, Fluid Dynamics 14, 637-642.
502. Simanovskii I. B., 1979b, Numerical investigation of convection in the system of two immiscible fluids when heating from below, in Convective Flows and Hydrodynamic Stability, Sverdlovsk, USC AS USSR, 126-130. In Russian.
503. Simanovskii I. B., 1980, Convective stability of two-layer systems. PhD thesis, Leningrad State University, Leningrad. In Russian.
504. Simanovskii I. B., 1983, On stability of two-layer systems to the convective mixing, Fluid Dynamics 18, 434-438.
505. Simanovskii I. B., 1991, Convective stabilities in systems with interface. D.Sc. thesis, Moscow Physical - Technical Institute, Moscow. In Russian.
506. Simanovskii I. B. 1996, Instability of the three layer system, in Proc. of the Second European Symposium Fluids in Space, edited by A. Viviani, European Space Agency, Naples, Italy, 264-271.
507. Simanovskii I. B., 1997, Anticonvective, steady and oscillatory mechanisms of instability in multi-layer systems, Physica D 102, 313-327.
508. Simanovskii I. B., 2000, Combined action of anticonvective and thermocapillary mechanisms of instability in multilayer systems, Eur. J.Mech. B/Fluids 19, 123-137.
509. Simanovskii I. B., 2004, Combined action of anticonvection and thermocapillarity in two- and three - layer systems, Compt. Rend. Mecan. 332, 597-604.
510. Simanovskii I. B., 2005, Nonlinear oscillations in multilayer systems, in Proc. of 5th Euromech Nonlinear Dynamics Conference, Eindhoven, The Netherlands, 04-033, 654-660.
511. Simanovskii I., Colinet P., Nepomnyashchy A., Legros J.-C., 2002, Anticonvection with an inclined temperature gradient, Phys. Rev. E 66, 056305 (1-10).
512. Simanovskii I., Georis Ph., Hennenberg M., Van Vaerenbergh S.,Wertgeim I., Legros J.-C., 1992, Numerical investigation of Marangoni-Benard instability in multilayer systems, in ESA SP-333, European Space Agency, Paris, 729-734.
513. Simanovskii I., Georis Ph., Nepomnyashchy A., Legros J.-C., 2003, Oscillatory instability in multilayer systems, Phys. Fluids 15, 3867-3870.
514. Simanovskii I., Georis Ph., Nepomnyashchy A., Legros J.-C., 2004, Nonlinear Marangoni oscillations in multilayer systems, Micrograv. Sci. Techn. XV/2, 25-34.
515. Simanovskii I. B., Nepomnyashchy A. A., 1993, Convective Instabilities in Systems with Interface, Gordon and Breach, London.
516. Simanovskii I. B., Nepomnyashchy A. A., 2006, Nonlinear development of oscillatory instability in a two-layer system under the combined action of buoyancy and thermocapillary effect, J. Fluid Mech. 555, 177-202.
517. Sivashinsky G. I., 1982, Large cells in nonlinear Marangoni convection, Physica D 4, 227-235.
518. Sivashinsky G. I., 1983, On cellular instability in the solidification of a dilute binary alloy, Physica D 8, 243-248.
519. Skarda J. R. L., Jacqmin D., McCaughan F. E., 1998, Exact and approximate solutions to the double diffusive Marangoni-Bénard problem with cross-diffusive terms, J. Fluid Mech. 366, 109-133.
520. Skarda J. R. L.,McCaughan F. E., 1999, Exact solution to stationary onset of convection due to surface tension variation in a multicomponent fluid layer with interfacial deformation, Int. J. Heat Mass Transfer 42, 2387-2398.
521. Slavtchev S., Hennenberg M., Legros J.-C., Lebon G., 1998, Stationary solutal Marangoni instability in a two-layer system, J. Colloid Interface Sci. 203, 354-368.
522. Slavtchev S., Mendes M. A., 2004, Marangoni instability in binary liquid-liquid systems, Int. J. HeatMass Transfer 47, 3269-3278.
523. Slavtchev S., Simeonov G., Van Vaerenbergh S., Legros J.-C., 1999, Marangoni instability of a layer of binary liquid in the presence of nonlinear Soret effect, Int. J. Heat Mass Transfer 42, 3007-3011.
524. Smith, K. A., 1966, On convective instability induced by surface-tension gradients, J. Fluid Mech. 24, 401-414.
525. Smith M. K., Davis S. H., 1982, Inviscid instability of isothermal flow, J. FluidMech. 121, 187-206.
526. Smith M. K., Davis S. H., 1983a, Instabilities of dynamic thermocapillary liquid layers, Part 1. Convective instabilities, J. Fluid Mech. 132, 119-144.
527. Smith M. K., Davis S. H., 1983b, Instabilities of dynamic thermocapillary liquid layers, Part 2. Surface-wave instabilities, J. Fluid Mech. 132, 145-162.
528. Sobolev V. D., Churaev N. V., Velarde M. G., Zorin Z. M., 2000, Surface tension and dynamic contact angle of water in thin quartz capillaries, J. Coll. Interface Sci. 222, 51-54.
529. Somerton C.W., Catton I., 1982, On the thermal instability of superposed porous and fluid layers, J. Heat Transfer 104, 160-165.
530. Someya S., Munakata T., Nishio M., Okamoto K., Madarame H., 2002, Flow observation in two immiscible liquid layers subject to a horizontal temperature gradient, J. Crystal Growth 235, 626-632.
531. Srinivasao M., Collings D., Philips A., Patel S., 2001, Three-dimensionally ordered array of air bubbles in a polymer film, Science 292, 79-83.
532. Starov V. M., 1992, Equilibrium and hysteresis contact angles, Adv. Colloid Interface Sci. 39, 147-173.
533. Stebe K. J., Bartes-Biesel D., 1995, Marangoni effects of adsorption-desorption controlled surfactants on the leading end of an infinitely long bubble in a capillary, J. Fluid Mech. 286, 25-48.
534. Sternling C. V., Scriven L. E., 1959, Interfacial turbulence: hydrodynamic instability and the Marangoni effect, AIChE J. 5, 514-523.
535. Subramanian R. S., 1981, Slow migration of a gas bubble in a thermal gradient, AIChE J. 27, 646-654.
536. Sumino Y., Kitahata H., Yoshikawa K., Nagayama M., Nomura S. M., Magome N., Mori Y., 2005a, Chemosensitive running droplet, Phys. Rev. E 72, 041603 (1-8).
537. Sumino Y., Magome N., Hamada T., Yoshikawa K., 2005b, Self-running droplet: emergence of regular motion from nonequilibrium noise, Phys. Rev. Lett. 94, 068301 (1-4).
538. Sussman M., Puckett E. G., 2000, A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows, J. Comput. Phys. 162, 301-337.
539. Swift J. W., 1988, Hopf bifurcation with the symmetry of the square, Nonlinearity 1, 333-377.
540. Szekely J., 1979, Fluid Flow Phenomena in Metals Processing, Academic Press, New York.
541. Takashima M., 1981, Surface tension driven instability in a horizontal liquid layer with a deformable free surface, II. Overstability, J. Phys. Soc. Japan 50, 2751-2756.
542. Tan M. J., Bankoff S. G., Davis S. H., 1990, Steady thermocapilary flows of thin liquid layers, Phys. Fluids A 2, 313-321.
543. Tang J., Bau H. H., 1993, Stabilization of the no-motion state in the Rayleigh-Bénard convection through the use of feedback-control, Phys. Rev. Lett. 70, 1795-1798.
544. Tang J., Bau H. H., 1994, Stabilization of the no-motion state in the Rayleigh-Bénard problem, Proc. R. Soc. Lond. A 447, 587-607.
545. Tang J., Bau H. H., 1998, Experiments in stabilization of the no-motion state of a fluid layer heated from below and cooled from above, J. Fluid Mech. 363, 153-171.
546. Tanny J., Chen C. C., Chen C. F., 1995, Effects of interaction between Marangoni and double-diffusive instabilities, J. Fluid Mech. 303, 1-21.
547. Tavener S. J., Cliffe K. A., 2002, Two-fluid Marangoni-Bénard convection with a deformable interface, J. Comput. Phys. 182, 277-300.
548. Texier-Picard R., Pojman J. A., Volpert V. A., 2000, Effect of interfacial tension on propagating polymerization fronts, Chaos 10, 224-230.
549. Thess A., Orzag S. A., 1995, Surface tension driven Bénard convection at infinite Prandtl number, J. Fluid Mech. 283, 201-230.
550. Thiele U., 2003, Open questions and promising new fields in dewetting, Eur. Phys. J. E 12, 409-414.
551. Thiele U., John K., Bär M., 2004, Dynamical model for chemically driven running droplets, Phys. Rev. Lett. 93, 027802 (1-4).
552. Thiele U., Knobloch E., 2003, Front and back instability of a liquid film on a slightly inclined plate, Phys. Fluids 15, 892-907.
553. Thiele U., Mertig M., PompeW., 1998, Dewetting of an evaporating thin liquid film: Heterogeneous nucleation and surface instability, Phys. Rev. Lett. 80, 2869-2872.
554. Thiele U., Neuffer K., BestehornM., Pomeau Y., Velarde M. G., 2002a, Sliding drops on an inclined plane, Colloids and Surfaces A 206, 87-104.
555. Thiele U., Neuffer K., Pomeau Y., Velarde M. G., 2002b, On the importance of nucleation solutions for the rupture of thin liquid films, Colloids and Surfaces A 206, 135-155.
556. Thiele U., Velarde M. G., Neuffer K., 2001a, Dewetting: Film rupture by nucleation in the spinodal regime, Phys. Rev. Lett. 87, 016104 (1-4).
557. Thiele U., Velarde M. G., Neuffer K., BestehornM., Pomeau Y., 2001b, Sliding drops in the diffuse interface model coupled to hydrodynamics, Phys. Rev. E 64, 061601 (1-12).
558. Thiele U., Velarde M. G., Neuffer K., Pomeau, Y., 2001c, Film rupture in the diffuse interface model coupled to hydrodynamics, Phys. Rev. E 64, 031602 (1-14).
559. Thiessen D. B., Marr-Lyon M. J., Marston P. L., 2002, Active electrostatic stabilization of liquid bridges in low gravity, J. Fluid Mech. 457, 285-294.
560. Thompson P. A., Robbins M. O., 1989, Simulations of contact-line motion: slip and the dynamic contact angle, Phys. Rev. Lett. 63, 766-769.
561. Thornton J., 1987, Interfacial phenomena and mass transfer in liquid-liquid extraction, Chem. Ind. 6, 193-196.
562. TokarukW. A., Molteno T. C. A., Morris S.W., 2000, Bénard- Marangoni convection in two-layered liquids, Phys. Rev. Lett. 84, 3590-3593.
563. Tolstoi D.M., 1952a,Molecular theory of fluid sliding on solid surfaces, Dokl. Akad. Nauk SSSR 85, 1089-1093 (in Russian).
564. Tolstoi D. M., 1952b, Mercury sliding on glass, Dokl. Akad. Nauk SSSR 85, 1329-1335 (in Russian).
565. Tomita H., Abe K., 2000, Numerical simulation of pattern formation in the Bénard-Marangoni convection, Phys. Fluids 12, 1389-1400.
566. Troian S. M., Herzbolheimer E., Safran S. A., Joanny J. F., 1989a, Fingering instabilities of driven spreading films, Europhys. Lett. 10, 25-30.
567. Troian S. M., Wu X. L., Safran S. A., 1989b, Fingering instability in thin wetting films, Phys. Rev. Lett. 62, 1496-1499.
568. Truskett V., Stebe K. J., 2003, Influence of surfactants on an evaporating drop: Fluorescence images and particle deposition patterns, Langmuir 19, 8271-8279.
569. Tseng F.-G., Lin K.-H., Hsu H.-T., Chieng C.-C., 2004, A surface-tension-driven fluidic network for precise enzyme batch-dispensing and glucose detection, Sensors and Actuators A 111, 107-117.
570. Ueno I., Tanaka S., Kawamura H., 2003, Oscillatory and chaotic thermocapillary convection in a half-zone liquid bridge, Phys. Fluids 15, 408-416.
571. VanHook S. J., Schatz M. F., McCormick W. D., Swift J. B., Swinney H. L., 1995, Long-wavelength instability in surface-tension-driven Bénard convection, Phys. Rev. Lett. 75, 4397-4400.
572. VanHook S. J., Schatz M. F., Swift J. B., McCormick W. D., Swinney H. L., 1997, Long-wavelength surface-tension-driven Bénard convection: experiment and theory, J. Fluid Mech. 345, 45-78.
573. Vargaftik N. B., 1975, Tables on the Thermophysical Properties of Liquids and Gases.
574. Velarde M. G., Nekorkin V. I., Maksimov A. G., 1995, Further results on the evolution of solitary waves and their bound states of a dissipative Korteweg-de Vries equation, Int. J. Bifurc. Chaos 5, 831-839.
575. Velarde M. G., Nepomnyashchy A. A., Hennenberg M., 2001, Onset of oscillatory interfacial instability and wave motion in Bénard layers, Adv. Appl. Mech. 37, 167-238.
576. VelardeM. G., Rednikov A. Ye., Linde H., 1999,Waves generated by surface-tension gradients and instability, in Fluid Dynamics at Interfaces, Cambridge University Press, Cambridge, 43-56.
577. Verschueren M., Van der Vosse F. N., Meijer H. E. H., 2001, Diffuse-interface modelling of thermocapillary flow instabilities in a Hele-Shaw cell, J. Fluid Mech. 434, 153-166.
578. Vinogradova O. I., 1999, Slippage of water over hydrophobic surfaces, Int. J.Mineral Process. 56, 31-60.
579. Wagner C., Friedrich R., Narayanan R., 1994, Comments on the numerical investigation of Rayleigh and Marangoni convection in a vertical circular cylinder, Phys. Fluids 6, 1425-1433.
580. Wahal S., Bose A., 1988, Rayleigh-Bénard and interfacial instabilities in two immiscible liquid layers, Phys. Fluids 31, 3502-3510.
581. Walter H. U. (editor), 1987, Fluid Sciences and Materials Science in Space, Springer-Verlag, Berlin.
582. Wassmuth F., Laidlaw W. G., Coombe D. A., 1993, Calculation of interfacial flows and surfactant redistribution as a gas-liquid interface moves between two parallel plates, Phys. Fluids A 5, 1533-1548.
583. Weh L., 1999, Self-organized structures at the surface of thin polymer films, Mat. Sci. Eng. C 8-9, 463-467.
584. Weh L., 2001, Hyperbolic spirals as surface structures in thin layers, J. Colloid Interface Sci. 235, 210-217.
585. Weh L., Venthur A., 2004, Crack patterns in thin polymer layers, Macromol. Mater. Eng. 289, 227-237.
586. Wei H. H., Benintendi S. W., Halpern D., Grotberg J. B., 2003, Cycle-induced flow and transport in a model alveolar liquid lining, J. Fluid Mech. 483, 1-36.
587. Welander P., 1964, Convective instability in a two-layer fluid heated uniformly from above, Tellus 16, 349-358.
588. Whitham G. B., 1974, Linear and Nonlinear Waves, John Wiley, New York.
589. Widawski C., RawisoM., François B., 1994, Self-organized honeycomb morphology of star-polymer polystyrene films, Nature 369, 397-399.
590. Wierschem A., Linde H., Velarde M. G., 2000, Internal waves excited by the Marangoni effect, Phys. Rev. E 62, 6522-6530.
591. Williams M. B., Davis S. H., 1982, Nonlinear theory of film rupture, J. Colloid Interface Sci. 90, 220-228.
592. Williams R., 1977, The advancing front of a spreading liquid, Nature 266, 153-154.
593. Wilson S. K., 1993a, The effect of a uniform magnetic field on the onset of steady Bénard-Marangoni convection in a layer of conducting fluid, J. Eng. Math. 27, 161-188.
594. Wilson S. K., 1993b, The effect of a uniform magnetic field on the onset of Marangoni convection in a layer of conducting fluid, Q. J. Mech. Appl. Math. 46, 211-248.
595. Wu Q. F.,Wong H., 2004, A slope-dependent disjoining pressure for non-zero contact angles, J. Fluid Mech. 506, 157-185.
596. Xu J., Zebib A., 1998, Oscillatory two- and three-dimensional thermocapillary convection, J. Fluid Mech. 364, 187-209.
597. Yamamura M., Nishio T., Kajiwara T., Adachi K., 2002, Evaporation-induced pattern formation in polymer films via secondary phase separation, Chem. Eng. Sci. 57, 2901-2905.
598. Yap D. Y. K., Gaver III D. P., 1998, The influence of surfactant on two-phase flow in a flexible-walled channel under bulk equilibrium conditions, Phys. Fluids 10, 1846-1863.
599. Yarin A. L., 1995, Surface tension driven flows at low Reynolds number arising in opto-electronic technology, J. Fluid Mech. 286, 273-200.
600. Ye Y., Chang H. C., 1999, A spectral theory for fingering on a prewetted plane, Phys. Fluids 11, 2494-2515.
601. Yeo L. Y., Matar O. K., 2003, Hydrodynamic instability of a thin viscous film between two drops, J. Colloid Interface Sci. 261, 575-579.
602. Yeo L. Y., Matar O. K., de Ortiz E. S. P., Hewitt G. F., 2001, The dynamics of Marangoni-driven local film drainage between two drops, J. Colloid Interface Sci. 241, 233-247.
603. Yoshikawa K., Magome N., 1993, Chemomechanical transduction in an oil-water system - regulation of the macroscopic mechanical motion, Bull. Chem. Soc. Japan 6, 3352-3357.
604. Young Y. N., Riecke H., 2002, Mean flow in hexagonal convection: stability and nonlinear dynamics, Physica D 163, 166-183.
605. Young Y. N., Riecke H., 2003, Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow, Physica D 176, 107-124.
606. Zaman A. A., Narayanan R., 1996, Interfacial and buoyancy-driven convection - The effect of geometry and comparison with experiment, J. Colloid Interface Sci. 179, 151-162.
607. Zeldovich Ya. B., Ruzmikin A. A., Sokoloff D. D., 1983, Magnetic Fields in Astrophysics, vol. 3 of: The Fluid Mechanics of Astrophysics and Geophysics, edited by P. H. Roberts, Gordon and Breach, New York.
608. Zelig D., Haber S., 2002, Hydrodynamic cleansing of pulmonary alveoli, SIAM J. Appl. Math. 63, 195-221.
609. Zeren R. W, Reynolds W. C., 1972, Thermal instabilities in two-fluid horizontal layers, J. Fluid Mech. 53, 305-327.
610. Zeytounian R. Kh., 1998, The Bénard-Marangoni thermocapillary- instability problem, Sov. Phys. Uspekhi 41, 241-267.
611. Zharikov E. V., Prikhod'ko L. V., Storozhev N. R., 1990, Fluid-flow formation resulting from forced vibration of a growing crystal, J. Crystal Growth 99, 910-914.
612. Zimmerman W. B., 2001, Excitation of surface waves due to thermocapillary effects on a stable stratified fluid layer, preprint.