메뉴 건너뛰기




Volumn 21, Issue 2, 2009, Pages

Linear stability of a volatile liquid film flowing over a locally heated surface

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; DIELECTRIC LOSSES; EIGENVALUES AND EIGENFUNCTIONS; EVAPORATION; FILM THICKNESS; HEAT TRANSFER; LINEAR STABILITY ANALYSIS; LIQUID FILMS; SPECTROSCOPY; SPECTRUM ANALYSIS; THERMAL GRADIENTS;

EID: 61849163803     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3068757     Document Type: Article
Times cited : (28)

References (47)
  • 1
    • 0031480080 scopus 로고    scopus 로고
    • "Long-scale evolution of thin liquid films"
    • RMPHAT0034-686110.1103/RevModPhys.69.931
    • A. Oron, S. H. Davis, and S. G. Bankoff, "Long-scale evolution of thin liquid films," Rev. Mod. Phys.RMPHAT0034-686110.1103/ RevModPhys.69.931 69, 931 (1997).
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 931
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 2
    • 0023249062 scopus 로고
    • "Thermocapillary instabilities"
    • ARVFA30066-418910.1146/annurev.fluid.19.1.403
    • S. H. Davis, "Thermocapillary instabilities," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.19.1.403 19, 403 (1987).
    • (1987) Annu. Rev. Fluid Mech. , vol.19 , pp. 403
    • Davis, S.H.1
  • 3
    • 0034975184 scopus 로고    scopus 로고
    • "Experiments on thermocapillary instabilities"
    • ARVFA30066-418910.1146/annurev.fluid.33.1.93
    • M. F. Schatz and G. P. Neitzel, "Experiments on thermocapillary instabilities," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fluid.33.1.93 33, 93 (2001).
    • (2001) Annu. Rev. Fluid Mech. , vol.33 , pp. 93
    • Schatz, M.F.1    Neitzel, G.P.2
  • 4
    • 84972262906 scopus 로고
    • "Nonlinear stability of evaporating/condensing liquid films"
    • JFLSA70022-112010.1017/S0022112088002484
    • J. P. Burelbach, S. G. Bankoff, and S. H. Davis, "Nonlinear stability of evaporating/condensing liquid films," J. Fluid Mech.JFLSA70022-112010.1017/S0022112088002484 195, 463 (1988).
    • (1988) J. Fluid Mech. , vol.195 , pp. 463
    • Burelbach, J.P.1    Bankoff, S.G.2    Davis, S.H.3
  • 5
    • 24944575909 scopus 로고    scopus 로고
    • "Evaporation of thin film: Diffusion of the vapor and Marangoni instabilities"
    • JFLSA70022-112010.1017/S0022112005006348
    • E. Sultan, A. Boudaoud, and M. B. Amar, "Evaporation of thin film: Diffusion of the vapor and Marangoni instabilities," J. Fluid Mech.JFLSA70022-112010.1017/S0022112005006348 543, 183 (2005).
    • (2005) J. Fluid Mech. , vol.543 , pp. 183
    • Sultan, E.1    Boudaoud, A.2    Amar, M.B.3
  • 6
    • 33645693172 scopus 로고    scopus 로고
    • "Marangoni-induced deformation and rupture of a liquid film on a heated microstructured wall"
    • PHFLE61070-663110.1063/1.2166642
    • Y. O. Kabova, A. Alexeev, T. Gambaryan-Roisman, and P. Stephan, "Marangoni-induced deformation and rupture of a liquid film on a heated microstructured wall," Phys. FluidsPHFLE61070-663110.1063/ 1.2166642 18, 012104 (2006).
    • (2006) Phys. Fluids , vol.18 , pp. 012104
    • Kabova, Y.O.1    Alexeev, A.2    Gambaryan-Roisman, T.3    Stephan, P.4
  • 7
    • 33846996331 scopus 로고    scopus 로고
    • "Free-surface thin-films over uniformly heated topography"
    • EPLEEE81063-651X10.1103/PhysRevE.75.026306
    • S. Saprykin, P. M. J. Trevelyan, R. J. Koopmans, and S. Kalliadasis, "Free-surface thin-films over uniformly heated topography," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.75.026306 75, 026306 (2007).
    • (2007) Phys. Rev. , vol.75 , pp. 026306
    • Saprykin, S.1    Trevelyan, P.M.J.2    Koopmans, R.J.3    Kalliadasis, S.4
  • 8
    • 0026222893 scopus 로고
    • "Long wave instabilities of heated films: Two dimensional theory of uniform layers"
    • JFLSA70022-112010.1017/S0022112091000733
    • S. W. Joo, S. H. Davis, and S. G. Bankoff, "Long wave instabilities of heated films: Two dimensional theory of uniform layers," J. Fluid Mech.JFLSA70022-112010.1017/S0022112091000733 230, 117 (1991).
    • (1991) J. Fluid Mech. , vol.230 , pp. 117
    • Joo, S.W.1    Davis, S.H.2    Bankoff, S.G.3
  • 9
    • 0030208695 scopus 로고    scopus 로고
    • "A mechanism for rivulet formation in heated films"
    • JFLSA70022-112010.1017/S0022112096007720
    • S. W. Joo, S. H. Davis, and S. G. Bankoff, "A mechanism for rivulet formation in heated films," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112096007720 321, 279 (1996).
    • (1996) J. Fluid Mech. , vol.321 , pp. 279
    • Joo, S.W.1    Davis, S.H.2    Bankoff, S.G.3
  • 10
    • 0142216042 scopus 로고    scopus 로고
    • "Thermocapillary instability and wave formation on a film falling down a uniformly heated plane"
    • JFLSA70022-112010.1017/S0022112003005809
    • S. Kalliadasis, E. A. Demekhin, C. Ruyer-Quil, and M. G. Velarde, "Thermocapillary instability and wave formation on a film falling down a uniformly heated plane," J. Fluid Mech.JFLSA70022-112010.1017/S0022112003005809 492, 303 (2003).
    • (2003) J. Fluid Mech. , vol.492 , pp. 303
    • Kalliadasis, S.1    Demekhin, E.A.2    Ruyer-Quil, C.3    Velarde, M.G.4
  • 11
    • 14944353310 scopus 로고    scopus 로고
    • "Wave dynamics on a thin-liquid film falling down a heated wall"
    • JLEMAU0022-083310.1007/s10665-004-1016-x
    • P. M. J. Trevelyan and S. Kalliadasis, "Wave dynamics on a thin-liquid film falling down a heated wall," J. Eng. Math.JLEMAU0022-083310.1007/s10665-004-1016-x 50, 177 (2004).
    • (2004) J. Eng. Math. , vol.50 , pp. 177
    • Trevelyan, P.M.J.1    Kalliadasis, S.2
  • 12
    • 85171998034 scopus 로고
    • "Long waves in liquid films"
    • (Cambridge, Mass.)JMPHA90097-1421
    • B. J. Benney, "Long waves in liquid films," J. Math. Phys. (Cambridge, Mass.)JMPHA90097-1421 45, 150 (1966).
    • (1966) J. Math. Phys. , vol.45 , pp. 150
    • Benney, B.J.1
  • 13
    • 24944587077 scopus 로고    scopus 로고
    • "Thermocapillary long waves in a liquid film flow. Part 1. Low-dimensional formulation"
    • JFLSA70022-112010.1017/S0022112005005422
    • C. Ruyer-Quil, B. Scheid, S. Kalliadasis, M. G. Velarde, and R. K. Zeytounian, "Thermocapillary long waves in a liquid film flow. Part 1. Low-dimensional formulation," J. Fluid Mech.JFLSA70022-112010.1017/S0022112005005422 538, 199 (2005).
    • (2005) J. Fluid Mech. , vol.538 , pp. 199
    • Ruyer-Quil, C.1    Scheid, B.2    Kalliadasis, S.3    Velarde, M.G.4    Zeytounian, R.K.5
  • 14
    • 24944569990 scopus 로고    scopus 로고
    • "Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves"
    • JFLSA70022-112010.1017/S0022112005005446
    • B. Scheid, C. Ruyer-Quil, S. Kalliadasis, M. G. Velarde, and R. K. Zeytounian, "Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves," J. Fluid Mech.JFLSA70022-112010.1017/S0022112005005446 538, 223 (2005).
    • (2005) J. Fluid Mech. , vol.538 , pp. 223
    • Scheid, B.1    Ruyer-Quil, C.2    Kalliadasis, S.3    Velarde, M.G.4    Zeytounian, R.K.5
  • 15
    • 17044435482 scopus 로고    scopus 로고
    • "Validity domain of the Benney equation including the Marangoni effect for closed and open flows"
    • JFLSA70022-112010.1017/S0022112004003179
    • B. Scheid, C. Ruyer-Quil, U. Thiele, O. A. Kabov, J. C. Legros, and P. Colinet, "Validity domain of the Benney equation including the Marangoni effect for closed and open flows," J. Fluid Mech.JFLSA70022-112010.1017/S0022112004003179 527, 303 (2005).
    • (2005) J. Fluid Mech. , vol.527 , pp. 303
    • Scheid, B.1    Ruyer-Quil, C.2    Thiele, U.3    Kabov, O.A.4    Legros, J.C.5    Colinet, P.6
  • 16
    • 0036953286 scopus 로고    scopus 로고
    • "Nonlinear evolution of nonuniformly heated falling liquid films"
    • PHFLE61070-663110.1063/1.1515270
    • B. Scheid, A. Oron, P. Colinet, U. Thiele, and J. C. Legros, "Nonlinear evolution of nonuniformly heated falling liquid films," Phys. FluidsPHFLE61070-663110.1063/1.1515270 14, 4130 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 4130
    • Scheid, B.1    Oron, A.2    Colinet, P.3    Thiele, U.4    Legros, J.C.5
  • 17
    • 0000679161 scopus 로고    scopus 로고
    • "Measurement of free surface deformation by reflectance-Schlieren method"
    • in Heidelberg, Germany, edited by E. W. P. Hahne, W. Heidemann, and K. Spindler (Edizioni ETS, Pisa)
    • B. Scheid, O. A. Kabov, C. Minetti, P. Colinet, and J. C. Legros, "Measurement of free surface deformation by reflectance-Schlieren method," in Proceedings of the Third European Thermal-Science Conference, Heidelberg, Germany, edited by E. W. P. Hahne, W. Heidemann, and K. Spindler (Edizioni ETS, Pisa, 2000), Vol. 2, pp. 651-657.
    • (2000) Proceedings of the Third European Thermal-Science Conference , vol.2 , pp. 651-657
    • Scheid, B.1    Kabov, O.A.2    Minetti, C.3    Colinet, P.4    Legros, J.C.5
  • 18
    • 33745593499 scopus 로고    scopus 로고
    • "Suppressing falling film instabilities by Marangoni forces"
    • PHFLE61070-663110.1063/1.2196450
    • E. A. Demekhin, S. Kalliadasis, and M. G. Velarde, "Suppressing falling film instabilities by Marangoni forces," Phys. FluidsPHFLE61070-663110.1063/1.2196450 18, 042111 (2006).
    • (2006) Phys. Fluids , vol.18 , pp. 042111
    • Demekhin, E.A.1    Kalliadasis, S.2    Velarde, M.G.3
  • 19
    • 0037170472 scopus 로고    scopus 로고
    • "Long-wave instabilities of non-uniformly heated falling films"
    • JFLSA70022-112010.1017/S0022112001006814
    • S. Miladinova, S. Slavtchev, G. Lebon, and J. C. Legros, "Long-wave instabilities of non-uniformly heated falling films," J. Fluid Mech.JFLSA70022-112010.1017/S0022112001006814 453, 153 (2002).
    • (2002) J. Fluid Mech. , vol.453 , pp. 153
    • Miladinova, S.1    Slavtchev, S.2    Lebon, G.3    Legros, J.C.4
  • 20
    • 0036070590 scopus 로고    scopus 로고
    • "Effect of nonuniform wall heating on the three-dimensional instability of falling films"
    • AMHCAP0001-597010.1007/BF01188743
    • S. Miladinova, D. Staykova, G. Lebon, and B. Scheid, "Effect of nonuniform wall heating on the three-dimensional instability of falling films," Acta Mech.AMHCAP0001-597010.1007/BF01188743 156, 79 (2002).
    • (2002) Acta Mech. , vol.156 , pp. 79
    • Miladinova, S.1    Staykova, D.2    Lebon, G.3    Scheid, B.4
  • 21
    • 34548411406 scopus 로고    scopus 로고
    • "Nonlinear stability of viscous film flowing down an inclined plane with linear temperature variation"
    • DJPAPBE0022-372710.1088/0022-3727/40/18/025
    • A. Mukhopadhyay and A. Mukhopadhyay, "Nonlinear stability of viscous film flowing down an inclined plane with linear temperature variation," J. Phys. DJPAPBE0022-372710.1088/0022-3727/40/18/025 40, 5683 (2007).
    • (2007) J. Phys. , vol.40 , pp. 5683
    • Mukhopadhyay, A.1    Mukhopadhyay, A.2
  • 22
    • 12844286921 scopus 로고    scopus 로고
    • "Effects of nonuniform heating and thermocapillarity in evaporating films falling down an inclined plate"
    • AMHCAP0001-597010.1007/s00707-004-0166-2
    • S. Miladinova and G. Lebon, "Effects of nonuniform heating and thermocapillarity in evaporating films falling down an inclined plate," Acta Mech.AMHCAP0001-597010.1007/s00707-004-0166-2 174, 33 (2005).
    • (2005) Acta Mech. , vol.174 , pp. 33
    • Miladinova, S.1    Lebon, G.2
  • 23
    • 0037464971 scopus 로고    scopus 로고
    • "On the instability of a falling film to localized heating"
    • JFLSA70022-112010.1017/S0022112002001957
    • J. M. Skotheim, U. Thiele, and B. Scheid, "On the instability of a falling film to localized heating," J. Fluid Mech.JFLSA70022-112010.1017/S0022112002001957 475, 1 (2003).
    • (2003) J. Fluid Mech. , vol.475 , pp. 1
    • Skotheim, J.M.1    Thiele, U.2    Scheid, B.3
  • 24
    • 0037464965 scopus 로고    scopus 로고
    • "Marangoni instability of a thin liquid film heated from below by a local heat source"
    • JFLSA70022-112010.1017/S0022112002003014
    • S. Kalliadasis, A. Kiyashko, and E. A. Demekhin, "Marangoni instability of a thin liquid film heated from below by a local heat source," J. Fluid Mech.JFLSA70022-112010.1017/S0022112002003014 475, 377 (2003).
    • (2003) J. Fluid Mech. , vol.475 , pp. 377
    • Kalliadasis, S.1    Kiyashko, A.2    Demekhin, E.A.3
  • 25
    • 33645465222 scopus 로고    scopus 로고
    • "Thermocapillary structure formation in a falling film: Experiment and calculations"
    • PHFLE61070-663110.1063/1.2187949
    • A. M. Frank and O. A. Kabov, "Thermocapillary structure formation in a falling film: Experiment and calculations," Phys. FluidsPHFLE61070-663110.1063/1.2187949 18, 032107 (2006).
    • (2006) Phys. Fluids , vol.18 , pp. 032107
    • Frank, A.M.1    Kabov, O.A.2
  • 26
    • 36048964490 scopus 로고    scopus 로고
    • "Linear stability and transient dynamics of non-inertial coating flows over locally heated surfaces"
    • EPLEEE81063-651X10.1103/PhysRevE.76.056306
    • N. Tiwari and J. M. Davis, "Linear stability and transient dynamics of non-inertial coating flows over locally heated surfaces," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.76.056306 76, 056306 (2007).
    • (2007) Phys. Rev. , vol.76 , pp. 056306
    • Tiwari, N.1    Davis, J.M.2
  • 27
    • 0000790752 scopus 로고    scopus 로고
    • "Thermochemical imaging study of the liquid film flowing on a vertical surface with local heat source"
    • RJETER1051-8053
    • O. A. Kabov, I. V. Marchuk, and V. M. Chupin, "Thermochemical imaging study of the liquid film flowing on a vertical surface with local heat source," Russ. J. Eng. Thermophys.RJETER1051-8053 6, 105 (1996).
    • (1996) Russ. J. Eng. Thermophys. , vol.6 , pp. 105
    • Kabov, O.A.1    Marchuk, I.V.2    Chupin, V.M.3
  • 28
    • 0000136387 scopus 로고    scopus 로고
    • "Formation of regular structures in a falling liquid film upon local heating"
    • ZZZZZZ0869-8643
    • O. A. Kabov, "Formation of regular structures in a falling liquid film upon local heating," Thermophys. AeromechanicsZZZZZZ0869-8643 5, 547 (1998).
    • (1998) Thermophys. Aeromechanics , vol.5 , pp. 547
    • Kabov, O.A.1
  • 30
    • 0035842093 scopus 로고    scopus 로고
    • "Stability of free-surface thin-film flows over topography"
    • JFLSA70022-1120
    • S. Kalliadasis and G. M. Homsy, "Stability of free-surface thin-film flows over topography," J. Fluid Mech.JFLSA70022-1120 448, 387 (2001).
    • (2001) J. Fluid Mech. , vol.448 , pp. 387
    • Kalliadasis, S.1    Homsy, G.M.2
  • 31
    • 23044437169 scopus 로고    scopus 로고
    • "Generalized linear stability of noninertial coating flows over topographical features"
    • PHFLE61070-663110.1063/1.1945627
    • J. M. Davis and S. M. Troian, "Generalized linear stability of noninertial coating flows over topographical features," Phys. FluidsPHFLE61070-663110.1063/1.1945627 17, 072103 (2005).
    • (2005) Phys. Fluids , vol.17 , pp. 072103
    • Davis, J.M.1    Troian, S.M.2
  • 32
    • 0030732736 scopus 로고    scopus 로고
    • "Capillary flow as the cause of ring stains from dried liquid drops"
    • (London)NATUAS0028-083610.1038/39827
    • R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, "Capillary flow as the cause of ring stains from dried liquid drops," Nature (London)NATUAS0028-083610.1038/39827 389, 827 (1997).
    • (1997) Nature , vol.389 , pp. 827
    • Deegan, R.D.1    Bakajin, O.2    Dupont, T.F.3    Huber, G.4    Nagel, S.R.5    Witten, T.A.6
  • 33
    • 0034224710 scopus 로고    scopus 로고
    • "Contact line deposit in an evaporating drop"
    • EPLEEE81063-651X10.1103/PhysRevE.62.756
    • R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, "Contact line deposit in an evaporating drop," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.62.756 62, 756 (2000).
    • (2000) Phys. Rev. , vol.62 , pp. 756
    • Deegan, R.D.1    Bakajin, O.2    Dupont, T.F.3    Huber, G.4    Nagel, S.R.5    Witten, T.A.6
  • 34
    • 0037109707 scopus 로고    scopus 로고
    • "Evaporating droplets"
    • LANGD50743-746310.1021/la0204646
    • M. Cachile, O. Benichou, C. Poulard, and A. M. Cazabat, "Evaporating droplets," LangmuirLANGD50743-746310.1021/ la0204646 18, 8070 (2002).
    • (2002) Langmuir , vol.18 , pp. 8070
    • Cachile, M.1    Benichou, O.2    Poulard, C.3    Cazabat, A.M.4
  • 35
    • 10744233554 scopus 로고    scopus 로고
    • "Freely receding evaporating droplets"
    • LANGD50743-746310.1021/la030162j
    • C. Poulard, O. Benichou, and A. M. Cazabat, "Freely receding evaporating droplets," LangmuirLANGD50743-746310.1021/la030162j 19, 8828 (2003).
    • (2003) Langmuir , vol.19 , pp. 8828
    • Poulard, C.1    Benichou, O.2    Cazabat, A.M.3
  • 36
    • 0035509426 scopus 로고    scopus 로고
    • "Interfacial conditions during evaporation or condensation of water"
    • EPLEEE81063-651X10.1103/PhysRevE.64.051509
    • C. A. Ward and D. Stanga, "Interfacial conditions during evaporation or condensation of water," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.64.051509 64, 051509 (2001).
    • (2001) Phys. Rev. , vol.64 , pp. 051509
    • Ward, C.A.1    Stanga, D.2
  • 37
    • 0035216335 scopus 로고    scopus 로고
    • "Analysis of the evaporation coefficient and the condensation coefficient of water"
    • IJHMAK0017-931010.1016/S0017-9310(00)00086-7
    • R. Marek and J. Straub, "Analysis of the evaporation coefficient and the condensation coefficient of water," Int. J. Heat Mass TransferIJHMAK0017-931010.1016/S0017-9310(00)00086-7 44, 39 (2001).
    • (2001) Int. J. Heat Mass Transfer , vol.44 , pp. 39
    • Marek, R.1    Straub, J.2
  • 38
    • 0029158871 scopus 로고
    • "The spreading of volatile liquid droplets on heated surfaces"
    • PHFLE61070-663110.1063/1.868623
    • D. M. Anderson and S. H. Davis, "The spreading of volatile liquid droplets on heated surfaces," Phys. FluidsPHFLE61070-663110.1063/ 1.868623 7, 248 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 248
    • Anderson, D.M.1    Davis, S.H.2
  • 39
    • 0000595834 scopus 로고
    • "Evaporation coefficients of liquids"
    • IECFA70196-431310.1021/i160024a005
    • J. R. Maa, "Evaporation coefficients of liquids," Ind. Eng. Chem. Fundam.IECFA70196-431310.1021/i160024a005 6, 504 (1967).
    • (1967) Ind. Eng. Chem. Fundam. , vol.6 , pp. 504
    • Maa, J.R.1
  • 40
    • 0016966845 scopus 로고
    • "The hydrodynamic stability of rapidly evaporating liquids at reduced pressure"
    • JFLSA70022-112010.1017/S0022112076000347
    • H. J. Palmer, "The hydrodynamic stability of rapidly evaporating liquids at reduced pressure," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112076000347 75, 487 (1976).
    • (1976) J. Fluid Mech. , vol.75 , pp. 487
    • Palmer, H.J.1
  • 43
    • 0034255383 scopus 로고    scopus 로고
    • "Steady free-surface thin film flows over topography"
    • PHFLE61070-663110.1063/1.870438
    • S. Kalliadasis, C. Bielarz, and G. M. Homsy, "Steady free-surface thin film flows over topography," Phys. FluidsPHFLE61070-663110.1063/1.870438 12, 1889 (2000).
    • (2000) Phys. Fluids , vol.12 , pp. 1889
    • Kalliadasis, S.1    Bielarz, C.2    Homsy, G.M.3
  • 44
    • 0028992597 scopus 로고    scopus 로고
    • "Stability of Newtonian and viscoelastic dynamic contact lines"
    • PHFLE61070-663110.1063/1.868800
    • M. A. Spaid and G. M. Homsy, "Stability of Newtonian and viscoelastic dynamic contact lines," Phys. FluidsPHFLE61070-663110.1063/1.868800 8, 460 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 460
    • Spaid, M.A.1    Homsy, G.M.2
  • 45
    • 0002895314 scopus 로고    scopus 로고
    • "Heat transfer from a local heat source to a subcooled falling liquid film evaporating in a vapor-gas medium"
    • RJETER1051-8053
    • O. A. Kabov and E. Chinnov, "Heat transfer from a local heat source to a subcooled falling liquid film evaporating in a vapor-gas medium," Russ. J. Eng. Thermophys.RJETER1051-8053 7, 1 (1997).
    • (1997) Russ. J. Eng. Thermophys. , vol.7 , Issue.1
    • Kabov, O.A.1    Chinnov, E.2
  • 46
    • 0141538128 scopus 로고    scopus 로고
    • "Time-dependent free-surface thin film flows over topography"
    • PHFLE61070-663110.1063/1.1590978
    • C. Bielarz and S. Kalliadasis, "Time-dependent free-surface thin film flows over topography," Phys. FluidsPHFLE61070-663110.1063/ 1.1590978 15, 2512 (2003).
    • (2003) Phys. Fluids , vol.15 , pp. 2512
    • Bielarz, C.1    Kalliadasis, S.2
  • 47


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.