Fluid coating on a fiber

Annual Review of Fluid Mechanics

Volumn 31, Issue , 1999, Pages 347-384

  Quéré, David ^a  

^a l'alimentation et l'Environnement   (France)

Author keywords

Boundary layers; Surfactants; Thin liquid films; Wetting

Indexed keywords

BOUNDARY LAYERS; COATED MATERIALS; COATINGS; FIBERS; SURFACE ACTIVE AGENTS; THIN FILMS; WETTING; AIR ENTRAINMENT; FILMS; FLUIDS;

FLUID COATING; COATED FILMS;

COATING TECHNIQUES; COATINGS;

BOUNDARY LAYER; SURFACTANT; WETTING;

EID: 0033489602     PISSN: 00664189     EISSN: None     Source Type: Journal    
DOI: 10.1146/annurev.fluid.31.1.347     Document Type: Article

References (144)

1. Adam NK. 1937. Detergent action and its relation to wetting and emulsification. J. Soc. Dyers Colour. 53:122-29
2. Akter S, Hashmi MSJ. 1997. High speed nylon coating of wire using a plasto-hydrodynamic pressure unit. J. Mat. Proc. Tech. 63:453-57
3. Arridge RGC, Heywood D. 1967. The freeze coating of filaments. Brit. J. Appl. Phys. 18:447-57
4. Aul RA, Olbricht WL. 1990. Stability of a thin annular film in pressure-driven flow through a capillary. J. Fluid Mech. 215:585-99
5. Bird RB, Dai GC, Yarusso BJ. 1982. The rheology and flow of viscoplastic materials. Rev. Chem. Eng. 1:1-70
6. Blake TD. 1988. Wetting kinetics - How do wetting lines move? Presented at Annu. Meet. Am. Inst. Chem. Eng. on the mechanics of thin film coating, New Orleans, paper 1A
7. Blake TD. 1993. Dynamic contact angles and wetting kinetics. In Wettability, ed. JC Berg, p. 291-309. New York: Marcel Dekker
8. Blake TD, Haynes JM. 1969. Kinetics of liquid/liquid displacement. J. Coll. Int. Sci. 30:421-23
9. Blake TD, Ruschak KJ. 1979. A maximum speed of wetting. Nature 282:489-91
10. Bondarenko NF, Zheleznyi BV, Osipov YuA, Ostapenko NS. 1977. Rheological characteristics of thin wetting films of single-component liquids, as determined by a capillary method. Koll. Z. 39:241-51
11. Brelin JL, Kornmann M. 1990. Coating steel wires with copper and copper alloys. Wire Ind. 57:824-30
12. Bretherton FP. 1961. The motion of long bubbles in tubes. J. Fluid Mech. 10:166-88
13. Brochard F. 1986. Spreading of liquid drops on thin cylinders: The manchon/droplet transition. J. Chem. Phys. 84:4664-72
14. Brochard-Wyart F. 1986. Instabilité des films mouillant des fibres. C.R. Acad. Sci. (Paris) II 303:1077-80
15. Brochard-Wyart F, de Gennes PG. 1992. Dynamics of partial wetting. Adv. Coll. Int Sci. 39:1-11
16. Bubnov MM, Dianov EM, Kazenin DA, Kutepov AM, Makeev AA, Semenov SL. 1994. On the application of a metallic coating on a fiber light guide. Dokl. Chem. Tech. 337:624-27
17. Bunov AV, Demekhin EA, Shkadov VYa. 1984. On the non-uniqueness of non-linear wave solution in a viscous layer. Prikl. Matem. Mekhan. 48:691-96
18. Burley R, Jolly RPS. 1984. Entrainment of air into liquids by a high speed continuous solid surface. Chem. Eng. Sci. 39:1357-72
19. Burley R, Kennedy BS. 1976. An experimental study of air entrainment at a solid/liquid/gas interface. Chem. Eng. Sci. 31:901-11
20. Carreker RP. 1963. Dip-forming - a continuous casting process. J. Metals 15:774-80
21. Carroll BJ. 1976. The accurate measurement of contact angle, phase contact areas, drop volume, and Laplace excess pressure in drop-on-fiber systems. J. Coll. Int. Sci. 57:488-95
22. Carroll BJ. 1981. The kinetics of solubilization of nonpolar oils by nonionic surfactant solutions. J. Coll. Int. Sci. 79:126-35
23. Carroll BJ. 1984. The equilibrium of liquid drops on smooth and rough circular cylinders. J. Coll. Int. Sci. 97:195-200
24. Carroll BJ. 1986. Equilibrium conformations of liquid drops on thin cylinders under forces of capillarity. A theory for the roll-up process. Langmuir 2:248-50
25. Carroll BJ. 1990. Droplet formation and contact angles of liquids on mammalian hair fibers. J. Chem. Soc. Faraday Trans. 85:3853-60
26. Carroll BJ, Lucassen J. 1973. Capillarity-controlled entrainment of liquid by a thin cylindrical filament. Chem. Eng. Sci. 28:23-30
27. Carroll BJ, Lucassen J. 1974. Effect of surface dynamics on the process of droplet formation from supported and free liquid cylinders. J. Chem. Soc. Faraday Trans. 70:1228-39
28. Chen JD. 1986. Measuring the film thickness surrounding a bubble inside a capillary. J. Colloid. Interface Sci. 109:341-49
29. Cox BG. 1962. On driving a viscous fluid out of a tube. J. Fluid Mech. 14:81-96
30. Cox RG. 1986. The dynamics of the spreading of a liquid on a solid surface. J. Fluid Mech. 168:169-89
31. de Gennes PG. 1985. Wetting: statics and dynamics. Rev. Mod. Phys. 57:827-63
32. de Gennes PG. 1986. Deposition of Langmuir-Blodgett layers. Coll. Polymer Sci. 264:463-65
33. Demekhin EA, Shkadov VYa. 1985. Two dimensional wave regimes in a thin layer of a viscous fluid. Izv. Akad. Nauk SSR, Mekh. Zhi. Gaz. 3:63-67
34. Derjaguin BV. 1943. On the thickness of the liquid film adhering to the walls of a vessel after emptying. Acta Physicochim. USSR 20:349-52
35. Derjaguin BV. 1955. Definition of the concept of, and magnitude of the disjoining pressure and its role in the statics and kinetics of thin layers of liquids. Colloid J. 17:191-97
36. Derjaguin BV, Levi SM. 1964. Film Coating Theory. London: The Focal Press
37. Derjaguin BV, Zheleznyi BV, Tkachev AP. 1972. Effect of disjoining pressure on thickness of wetting film remaining on surface of cylindrical capillary after recession of liquid meniscus. Dokl. Akad. Nauk USSR 206:1146-49
38. de Ryck A, Quéré D. 1993a. Fibres tirées d'un bain. CR. Acad. Sci. (Paris) II 316:1045-50
39. de Ryck A, Quéré D. 1993b. Entraînement visco-inertiel de liquide par un fil. CR. Acad. Sci. (Paris) II 317:891-97
40. de Ryck A, Quéré D. 1994. Quick forced spreading. Europhys. Lett. 25:187-92
41. de Ryck A, Quéré D. 1996. Inertial coating of a fiber. J. Fluid Mech. 311:219-37
42. de Ryck A, Quéré D. 1998. Gravity and inertia effects in plate coating. J. Coll. Int. Sci. 203: 278-85
43. di Meglio JM. 1986. Mise en évidence d'un film mouillant sur des fibres textiles. C.R. Acad. Sci. (Paris) II 303:437-39
44. Doyle PJ. 1991. Formation and growth of water microdroplets in nonpolar oil-fiber-aqueous surfactant systems. J. Coll. Int. Sci. 143:195-204
45. Dumbleton JH, Hermans JJ. 1970. Capillary instability of a thin annular layer of liquid around a solid cylinder. Ind. Eng. Chem. Fund. 9:466-69
46. Dussan EB, V. 1979. On the spreading of liquids on solid surfaces: static and dynamic contact lines. Annu. Rev. Fluid Mech. 11:371-400
47. Dussan EB, V, Ramé E, Garoff S. 1991. On identifying the appropriate boundary conditions at a moving contact line: an experimental investigation. J. Fluid Mech. 230:97-116
48. Esmail NM, Hummel RL. 1975. Nonlinear theory of free coating onto a vertical surface. A.I.Ch.E. J. 21:958-65
49. Esmail NM, Shkadov VYa. 1971. Non linear theory of waves in a viscous liquid layer, Izv. Akad. Nauk SSR, Mekh. Zhi. Gaz. 4:54-59
50. Fairbrother F, Stubbs AE. 1935. The "bubble-tube" method of measurement. J. Chem. Soc. 1:527-29
51. Frenkel AL, Babchin AJ, Levich BG, Shlang T, Sivashinsky GI. 1987. Annular flows can keep unstable films from breakup: nonlinear saturation of capillary instability. J. Coll. Int. Sci. 115:225-33
52. Frenkel AL. 1992. Nonlinear theory of strongly undulating thin films flowing down vertical cylinders. Europhys. Lett. 18:583-88
53. Gatcombe EK. 1945. Lubrication characteristics of involute spur gears. Trans. ASME 67:177-88
54. Gauglitz PA, Radke CJ. 1988. An extended evolution equation for liquid film breakup in cylindrical capillaries. Chem. Eng. Sci. 43:1457-65
55. Gelfand MP, Lipowsky R. 1987. Wetting on cylinders and spheres. Phys. Rev. B 36:8725-35
56. Ghannam MT, Esmail NM. 1990. Effect of substrate entry angle on air entrainment in liquid coating. A.I.Ch.E. J. 36:1283-86
57. Ghannam MT, Esmail NM. 1993. Experimental study of the wetting of fibres. A.I.Ch.E. J. 39:361-65
58. Ginley GM, Radke CJ. 1989. Influence of soluble surfactants on the flow of the long bubbles through a cylindrical capillary. ACS Symp. Ser. 396:480-501
59. Goren SL. 1962. The instability of an annular thread of fluid. J. Fluid Mech. 12:309-19
60. Goren SL. 1963. The shape of a thread of liquid undergoing break-up. J. Coll. Sci. 19:81-86
61. Goucher FS, Ward H. 1922. The thickness of liquid films formed on solid surfaces under dynamic condition. Phil. Mag. 44:1002-14
62. Groenveld P. 1970. High capillary number withdrawal from viscous newtonian liquids by flat plates. Chem. Eng. Sci. 25:33-40
63. Gutfinger C, Tallmadge JA. 1965. Films of non-Newtonian fluids adhering to flat plates. A.I.Ch.E. J. 11:403-12
64. Hammond P. 1983. Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe. J. Fluid Mech. 137:363-84
65. Hayes RA, Ralston J. 1993. Forced liquid movement on low energy surfaces. J. Coll. Int. Sci. 159:429-38
66. Huffman RL. 1975. A study of the advancing interface. J. Coll. Int. Sci. 50:228-41
67. Huguet AS, Droux M, Arpin M, Quéré D. 1997. Unpublished results
68. Inverarity G. 1969. Dynamic wetting of glass fibre and polymer fibre. Br. Polym. J. 1:245-51
69. Israelashvili J. 1985. Intermolecular and Surface Forces. San Diego: Academic Press
70. James DF. 1974. The meniscus on the outside of a small circular cylinder. J. Fluid Mech. 63:657-64
71. Jeffreys H. 1930. The draining of a vertical plate. Proc. Comb. Phil. Soc. 26:204-05
72. Joseph DD, Bai R, Chen KP, Renardy YY. 1997. Core-annular flows. Annu. Rev. Fluid Mech. 29:65-90
73. Kalliadasis S, Chang HC. 1994. Drop formation during coating of vertical fibres. J. Fluid Mech. 261:135-68
74. Kapitza PL. 1965. Collected papers (Vol. II), p. 662-709. London: Pergamon Press
75. Koplik J, Banavar JR, Willemsen JF. 1988. Molecular dynamics of Poiseuille flow and dynamic contact lines. Phys. Rev. Lett. 60: 1285-88
76. Kornmann M, Rexer J, Anderson E. 1978. Aluminising process by high-speed hot dipping. Wire Ind. 6:322-25
77. Kornmann M, Talmor Y, Hirano S, Kambe R. 1983. High-speed, hot dipping of steel wire. Wire J. 8:52-58
78. Koulago A, Quéré D, De Ryck A, Shkadov V. 1995. Film entrained by a fiber quickly drawn out of a liquid bath. Phys. Fluids 7:1221-24
79. Kumar A, Hartland S. 1988. Shape of a drop on a vertical fiber. J. Coll. Int. Sci. 124:67-76
80. Kumar A, Hartland S. 1990. Measurement of contact angles from the shape of a drop on a vertical fiber. J. Coll. Int. Sci. 136:455-69
81. Lackey WJ, Hanigofsky JA, Groves MT, Heaney JA. 1991. Continuous fiber coating system. Ceram. Eng. Sci. Proc. 12:1048-63
82. Landau LD, Levich B. 1942. Dragging of a liquid by a moving plate. Acta Physicochim. USSR 17:42-54
83. Lasseux D, Quintard M. 1991. Épaisseur d'um film dynamique derrière un ménisque récessif. C.R. Acad. Sci. (Paris) II 313:1375-81
84. Levich VG. 1962. Physical Hydrodynamics. Englewood Cliffs: Prentice-Hall
85. Lyklema J, Scholten PC, Mysels KJ. 1965. Flow in thin liquid films. J. Phys. Chem. 69:116-23
86. Mac Hale G, Käb NA, Newton MI, Rowan SM. 1997. Wetting of a high-energy fiber surface. J. Coll. Int. Sci. 186:453-61
87. Middleman S. 1995. Modeling Axisymmetric Flows. San Diego: Academic Press
88. Miller B. 1985. Experimental aspects of fiber wetting and liquid movement between fibers. Text. Sci. Technol. 7:121-47
89. Morey FC. 1940. Thickness of a film adhering to a surface slowly withdrawn from the liquid. J. Res. Natl. Bur. Stand. 25:385-93
90. Mysels KJ, Cox MC. 1962. An experimental test of Frankel's law of film thickness. J. Colloid Sci. 17:136-45
91. Mysels KJ, Shinoda K, Frankel S. 1959. Soap Films. London: Pergamon Press
92. Newhouse LA, Pozrikidis C. 1992. The capillary instability of annular layers and liquid threads. J. Fluid Mech. 242:193-09
93. Ou Ramdane O, Quéré D. 1997. Thickening factor in Marangoni coating. Langmuir 13:2911-16
94. Park CW. 1991. Effects of insoluble surfactants on dip coating. J. Coll. Int. Sci. 146:382-94
95. Park CW. 1992. Influence of soluble surfactants on the motion of a finite bubble in a capillary tube. Phys. Fluids A 4:2335-47
96. Park CW, Homsy GM. 1984. Two-phase displacement in Hele-Shaw cells: theory. J. Fluid Mech. 139:291-308
97. Petrov JG, Radoev BP. 1981. Steady motion of the three phase contact line in model Langmuir-Blodgett systems. Colloid. Polymer Sci. 259:753-60
98. Petrov PG, Petrov JG. 1992. A combined molecular-hydrodynamic approach to wetting kinetics. Langmuir 8:1762-67
99. Plateau J. 1873. Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires. Paris: Gambier-Villars
100. Quéré D, Di Meglio JM, Brochard-Wyart F. 1989. Making van der Waals films on fibers. Europhys. Lett. 10:335-40
101. Quéré D. 1990. Thin films flowing on vertical fibers. Europhys. Lett. 13:721-26
102. Quéré D, Archer É. 1993. The trail of the drops. Europhys. Lett. 24:761-66
103. Quéré D, De Ryck A. 1998. Le mouillage dynamique d'une fibre. Ann. Phys. (Paris), 23:1-154
104. Quéré D, De Ryck A, Ou Ramdane O. 1997. Liquid coating from a surfactant solution. Europhys. Lett. 37:305-10
105. Ratulowski J, Chang HC. 1990. Marangoni effects of trace impurities on the motion of long gas bubbles in capillaries. J. Fluid Mech. 210:303-28
106. Rayleigh Lord. 1892. On the instability of a cylinder of viscous liquid under capillary force. Phil. Mag. 34:145-207
107. Reinelt DA, Saffman PG. 1985. The penetration of a finger into a viscous fluid in a channel and tube. SIAM J. Sci. Sta. Comput. 6:542-61
108. Roe RJ. 1975. Wetting of thin wires and fibers by a liquid film. J. Coll. Int. Sci. 50:70-79
109. Ruckenstein E. 1992. Dynamics of partial wetting. Langmuir 8:3038-39
110. Ruschak KJ. 1985. Coating flows. Annu. Rev. Fluid Mech. 17:65-89
111. Schwartz LW, Princen HM, Kiss AD. 1986. On the motion of bubbles in capillary tubes. J. Fluid Mech. 172:259-75
112. Sedev RV, Petrov JG. 1988. Influence of geometry of the three-phase system on the maximum speed of wetting. Colloids Surf. 34:197-201
113. Sedev RV, Petrov JG. 1992. Influence of geometry on steady dewetting kinetics. Colloids Surf. 62:141-51
114. Shen C, Ruth DW. 1998. Experimental and numerical investigations of the interface profile close to a moving contact line. Phys. Fluids 10:789-99
115. Shkadov VYa. 1977. Solitary waves in a layer of viscous liquid. Izv. Akad. Nauk SSR, Mekh. Zhi. Gaz. 1:63-66
116. Shlang T, Sivashinsky GI. 1982. Irregular flow of a liquid film down a vertical column. J. Phys. 43:459-66
117. Song B, Bismarck A, Tahhan R, Springer J. 1988. A generalized drop length-height method for determination of contact angle in drop-on-fiber systems. J. Coll. Int. Sci. 197:68-77
118. Soroka AJ, Tallmadge JA. 1971. A test of the inertial theory for plate withdrawal. A.I.Ch.E. J. 17:505-08
119. Spiers RP, Subbaraman CV, Wilkinson WL. 1974. Free coating of a liquid onto a vertical surface. Chem. Eng. Sci. 29:389-96
120. Starov VM, Churaev NV. 1978. Thickness and stability of liquid films on nonplanar surfaces. Kall. Zh. 40:909-14
121. Tabeling P, Libchaber A. 1986. Film draining and the Saffman-Taylor problem. Phys. Rev. A 33:794-96
122. Tabeling P, Zocchi G, Libchaber A. 1987. An experimental study of the Saffman-Taylor instability. J. Fluid Mech. 177:67-82
123. Tallmadge JA, Labine RA, Wood BH. 1965. Films adhering to large wires upon withdrawal from liquid baths. IEC Fundam. 4:400-06
124. Tallmadge JA, Soroka AJ. 1969. The additional parameter in withdrawal. Chem. Eng. Sci. 24:377-83
125. Tallmadge JA, Stella R. 1968. Some properties of the apparent water paradox in entrainment. A.I.Ch.E. J. 14:838-40
126. Taylor GI. 1960. Deposition of a viscous fluid on a plane surface. J. Fluid Mech. 9:218-24
127. Taylor GI. 1961. Deposition of viscous fluid on the wall of a tube. J. Fluid Mech. 10:161-65
128. Taylor GI. 1963. Cavitation of a viscous fluid in narrow passages. J. Fluid Mech. 16:595-619
129. Teletzke G, Davis HT, Scriven LE. 1988. Wetting hydrodynamics. Rev. Phys. Appl. 23:989-1007
130. Thomson PA, Robbins MO. 1989. Simulations of contact-line motion: slip and the dynamic contact angle. Phys. Rev. Lett. 63:766-79
131. Thomson PA, Robbins MO. 1990. Shear flows near solids: epitaxial order and flow boundary conditions. Phys. Rev. A 41:6830-37
132. Tomotika S. 1935. On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc. Roy. Soc. (London) A 153:322-37
133. Upton PJ, Indekeu JO, Yeomans JM. 1989. Wetting on spherical and cylindrical surfaces: Global phase diagrams. Phys. Rev. B 40:666-79
134. Vaillant P. 1913. Sur un procédé de mesure des grandes résistances polarisables et son application à la mesure de la résistance de bulles dans un liquide. C. R. Acad. Sci. (Paris) 156:307-10
135. Voinov OV. 1976. Hydrodynamics of wetting. Fluid Dyn. 11:714-21
136. Wagner HD. 1991. Spreading of liquid droplets on cylindrical surfaces: accurate determination of contact angle. J. Appl. Phys. 70:493-96
137. White DA, Tallmadge JA. 1965a. Static menisci on the outside of cylinders. J. Fluid Mech. 23:325-35
138. White DA, Tallmadge JA. 1965b. Theory of drag out of liquids on flat plates. Chem. Eng. Sci. 20:33-37
139. White DA, Tallmadge JA. 1966. A theory of withdrawal of cylinders from liquid baths. A.I.Ch.E. J. 12:333-39
140. White DA, Tallmadge JA. 1967. A gravity corrected theory for cylinder withdrawal. A.I.Ch.E. J. 13:745-50
141. Wilson SDR. 1988. Coating flows on to rods and wires. A.I.Ch.E. J. 34:1732-35
142. Xiao L, Li D, Wang S. 1994. Vertical hot dip aluminium coating of steel wire. Wire Ind. 61:639-44
143. Yamaki J, Katayama Y. 1975. New method of determining contact angle between monofilament and liquid. J. Appl. Polym. Sci. 19: 2897-909
144. Yarin AL, Oron A, Rosenau P. 1993. Capillary instability of thin liquid film on a cylinder. Phys. Fluids A 5:91-98