메뉴 건너뛰기




Volumn 562, Issue , 2006, Pages 183-222

Wave patterns in film flows: Modelling and three-dimensional waves

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES;

EID: 33749027789     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006000978     Document Type: Article
Times cited : (126)

References (58)
  • 3
    • 3242732942 scopus 로고    scopus 로고
    • Nonlinear dynamics of inclined films under low-frequency forcing
    • Argyriadi, K., Serifi, K. & Bontozoglou, V. 2004 Nonlinear dynamics of inclined films under low-frequency forcing. Phys. Fluids 16, 2457-2468.
    • (2004) Phys. Fluids , vol.16 , pp. 2457-2468
    • Argyriadi, K.1    Serifi, K.2    Bontozoglou, V.3
  • 4
    • 0016926377 scopus 로고
    • On the derivation of evolution equations for interfacial waves
    • Atherton, R. W. & Homsy, G. M. 1976 On the derivation of evolution equations for interfacial waves. Chem. Engng Commun. 2, 57-77.
    • (1976) Chem. Engng Commun. , vol.2 , pp. 57-77
    • Atherton, R.W.1    Homsy, G.M.2
  • 5
    • 85038340316 scopus 로고    scopus 로고
    • Reply to comment on "Low-dimensional models for vertically falling viscous films"
    • Balakotaiah, V. & Mudunuri, R. R. 2004 Reply to comment on "Low-dimensional models for vertically falling viscous films". Phys. Rev. Lett. 93, 199402.
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 199402
    • Balakotaiah, V.1    Mudunuri, R.R.2
  • 7
    • 85171998034 scopus 로고
    • Long waves on liquid film
    • Benney, D. J. 1966 Long waves on liquid film. J. Math Phys. 45, 150-155.
    • (1966) J. Math Phys. , vol.45 , pp. 150-155
    • Benney, D.J.1
  • 8
    • 0001123182 scopus 로고
    • Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto-Sivashinsky equation
    • Chang, H.-C. 1986 Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto-Sivashinsky equation. Phys. Fluids 29, 3142-3147.
    • (1986) Phys. Fluids , vol.29 , pp. 3142-3147
    • Chang, H.-C.1
  • 9
    • 0004185917 scopus 로고
    • Wave evolution on a falling film
    • Chang, H.-C. 1994 Wave evolution on a falling film. Annu. Rev. Fluid Mech. 26, 103-136.
    • (1994) Annu. Rev. Fluid Mech. , vol.26 , pp. 103-136
    • Chang, H.-C.1
  • 10
    • 0028463304 scopus 로고
    • Secondary and tertiary excitation of three-dimensional patterns on a falling film
    • Chang, H.-C., Cheng, M., Demekhin, E. A. & Kopelevitch, D. I. 1994 Secondary and tertiary excitation of three-dimensional patterns on a falling film. J. Fluid Mech. 270, 251-275.
    • (1994) J. Fluid Mech. , vol.270 , pp. 251-275
    • Chang, H.-C.1    Cheng, M.2    Demekhin, E.A.3    Kopelevitch, D.I.4
  • 11
    • 0030175147 scopus 로고    scopus 로고
    • Simulation of noise-driven wave dynamics on a falling film
    • Chang, H.-C., Demekhin, E. & Kalaidin, E. 1996 Simulation of noise-driven wave dynamics on a falling film. AIChE J. 42, 1553-1568.
    • (1996) AIChE J. , vol.42 , pp. 1553-1568
    • Chang, H.-C.1    Demekhin, E.2    Kalaidin, E.3
  • 12
    • 0027473084 scopus 로고
    • Nonlinear evolution of waves on a vertically falling film
    • Chang, H.-C., Demekhin, E. A. & Kopelevitch, D. I. 1993 Nonlinear evolution of waves on a vertically falling film. J. Fluid Mech. 250, 433-480.
    • (1993) J. Fluid Mech. , vol.250 , pp. 433-480
    • Chang, H.-C.1    Demekhin, E.A.2    Kopelevitch, D.I.3
  • 13
    • 0003487030 scopus 로고    scopus 로고
    • AuTo97: Continuation and bifurcation software for ordinary differential equations
    • Tech. Rep. Department of Computer Science, Concordia University, Montreal, Canada (available by FTP from ftp.cs.concordia.ca in directory pub/doedel/auto)
    • Doedel, E. J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B. & Wang, X.-J. 1997 AuTo97: Continuation and bifurcation software for ordinary differential equations. Tech. Rep. Department of Computer Science, Concordia University, Montreal, Canada (available by FTP from ftp.cs.concordia.ca in directory pub/doedel/auto).
    • (1997)
    • Doedel, E.J.1    Champneys, A.R.2    Fairgrieve, T.F.3    Kuznetsov, Y.A.4    Sandstede, B.5    Wang, X.-J.6
  • 14
    • 0000357428 scopus 로고
    • Instabilities of a liquid film flowing down a slightly inclined plane
    • Floryan, J., Davis, S. & Kelly, R. 1987 Instabilities of a liquid film flowing down a slightly inclined plane. Phys. Fluids 30, 983-989.
    • (1987) Phys. Fluids , vol.30 , pp. 983-989
    • Floryan, J.1    Davis, S.2    Kelly, R.3
  • 15
    • 0007741502 scopus 로고
    • Occurence of finite-amplitude surface waves on falling liquid films
    • Gjevik, B. 1970 Occurence of finite-amplitude surface waves on falling liquid films. Phys. Fluids 13, 1918-1925.
    • (1970) Phys. Fluids , vol.13 , pp. 1918-1925
    • Gjevik, B.1
  • 16
    • 0346635095 scopus 로고
    • Spatially varying finite-amplitude wave trains on falling liquid films
    • Gjevik, B. 1971 Spatially varying finite-amplitude wave trains on falling liquid films. Acta Polytech. Scand. Me. 61, 1-16.
    • (1971) Acta Polytech. Scand. Me. , vol.61 , pp. 1-16
    • Gjevik, B.1
  • 17
    • 0021437639 scopus 로고
    • Local and global behaviour near homoclinic orbits
    • Glendinning, P. & Sparrow, C. 1984 Local and global behaviour near homoclinic orbits. J. Statist. Phys. 35, 645-696.
    • (1984) J. Statist. Phys. , vol.35 , pp. 645-696
    • Glendinning, P.1    Sparrow, C.2
  • 18
    • 0000746855 scopus 로고
    • Secondary instability of boundary layers
    • Herbert, T. 1988 Secondary instability of boundary layers. Annu. Rev. Fluid Mech. 20, 487.
    • (1988) Annu. Rev. Fluid Mech. , vol.20 , pp. 487
    • Herbert, T.1
  • 19
    • 0026809794 scopus 로고
    • Instabilities of three-dimensional theory viscous falling films
    • Joo, S. & Davis, S. 1992 Instabilities of three-dimensional theory viscous falling films. J. Fluid Mech. 242, 529.
    • (1992) J. Fluid Mech. , vol.242 , pp. 529
    • Joo, S.1    Davis, S.2
  • 20
    • 0003296433 scopus 로고
    • Wave flow of thin layers of a viscous fluid
    • In (ed. D. T. Haar), Pergamon, original paper: Zh. Ekper. Teor. Fiz. 18, 3-28 (in Russian)
    • Kapitza, P. L. 1948 Wave flow of thin layers of a viscous fluid. In Collected Papers of P.L. Kapitza (ed. D. T. Haar), pp. 662-689. Pergamon, original paper: Zh. Ekper. Teor. Fiz. 18, 3-28 (in Russian).
    • (1948) Collected Papers of P.L. Kapitza , pp. 662-689
    • Kapitza, P.L.1
  • 21
    • 0003296433 scopus 로고
    • Wave flow of thin layers of a viscous fluid
    • In (ed. D. T. Haar), Pergamon, original paper: Zh. Ekper. Teor. Fiz. 19, 105-120 (in Russian)
    • Kapitza, P. L. & Kapitza, S. P. 1949 Wave flow of thin layers of a viscous fluid. In Collected Papers of P.L. Kapitza (ed. D. T. Haar), pp. 690-709. Pergamon, original paper: Zh. Ekper. Teor. Fiz. 19, 105-120 (in Russian).
    • (1949) Collected Papers of P.L. Kapitza , pp. 690-709
    • Kapitza, P.L.1    Kapitza, S.P.2
  • 22
    • 0016048350 scopus 로고
    • Finite amplitude side-band stability of a viscous fluid
    • Lin, S. P. 1974 Finite amplitude side-band stability of a viscous fluid. J. Fluid Mech. 63, 417-429.
    • (1974) J. Fluid Mech. , vol.63 , pp. 417-429
    • Lin, S.P.1
  • 23
    • 0001096771 scopus 로고
    • Onset of spatially chaotic waves on flowing films
    • Liu, J. & Gollub, J. P. 1993 Onset of spatially chaotic waves on flowing films. Phys. Rev. Lett. 70, 2289-2292.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2289-2292
    • Liu, J.1    Gollub, J.P.2
  • 24
    • 0028154461 scopus 로고
    • Solitary wave dynamics of film flows
    • Liu, J. & Gollub, J. P. 1994 Solitary wave dynamics of film flows. Phys. Fluids 6, 1702-1712.
    • (1994) Phys. Fluids , vol.6 , pp. 1702-1712
    • Liu, J.1    Gollub, J.P.2
  • 25
    • 0027391866 scopus 로고
    • Measurements of the primary instabilities of film flows
    • Liu, J., Paul, J. D. & Gollub, J. P. 1993 Measurements of the primary instabilities of film flows. J. Fluid Mech. 250, 69-101.
    • (1993) J. Fluid Mech. , vol.250 , pp. 69-101
    • Liu, J.1    Paul, J.D.2    Gollub, J.P.3
  • 26
    • 0029102415 scopus 로고
    • Three-dimensional instabilites of film flows
    • Liu, J., Schneider, J. B. & Gollub, J. P. 1995 Three-dimensional instabilites of film flows. Phys. Fluids 7, 55-67.
    • (1995) Phys. Fluids , vol.7 , pp. 55-67
    • Liu, J.1    Schneider, J.B.2    Gollub, J.P.3
  • 27
    • 0036504370 scopus 로고    scopus 로고
    • Solitary waves on inclined films: Flow structure and binary interactions
    • Malamataris, N. A., Vlachogiannis, M. & Bontozoglou, V. 2002 Solitary waves on inclined films: Flow structure and binary interactions. Phys. Fluids 14, 1082-1094.
    • (2002) Phys. Fluids , vol.14 , pp. 1082-1094
    • Malamataris, N.A.1    Vlachogiannis, M.2    Bontozoglou, V.3
  • 28
    • 0009021486 scopus 로고
    • Long waves on a thin fluid layer flowing down an inclined plane
    • Nakaya, C. 1975 Long waves on a thin fluid layer flowing down an inclined plane. Phys. Fluids 18, 1407-1412.
    • (1975) Phys. Fluids , vol.18 , pp. 1407-1412
    • Nakaya, C.1
  • 29
    • 1842787484 scopus 로고    scopus 로고
    • The evolution and subsequent dynamics of waves on a vertically falling liquid film
    • Nosoko, T. & Miyara, A. 2004 The evolution and subsequent dynamics of waves on a vertically falling liquid film. Phys. Fluids 16, 1118-1126.
    • (2004) Phys. Fluids , vol.16 , pp. 1118-1126
    • Nosoko, T.1    Miyara, A.2
  • 30
    • 0030088282 scopus 로고    scopus 로고
    • Characteristics of two-dimensional waves on a falling liquid film
    • Nosoko, T., Yoshimura, P. N., Nagata, T. & Okawa, K. 1996 Characteristics of two-dimensional waves on a falling liquid film. Chem. Engng Sci. 51, 725-732.
    • (1996) Chem. Engng Sci. , vol.51 , pp. 725-732
    • Nosoko, T.1    Yoshimura, P.N.2    Nagata, T.3    Okawa, K.4
  • 31
    • 0001723995 scopus 로고    scopus 로고
    • Surface equation of falling film flows with moderate Reynolds number and large but finite Weber number
    • Ooshida, T. 1999 Surface equation of falling film flows with moderate Reynolds number and large but finite Weber number. Phys. Fluids 11, 3247-3269.
    • (1999) Phys. Fluids , vol.11 , pp. 3247-3269
    • Ooshida, T.1
  • 32
    • 14944381736 scopus 로고    scopus 로고
    • Subcritical and supercritical bifurcations of the first- and second order Benney equations
    • Oron, A. & Gottlieb, O. 2004 Subcritical and supercritical bifurcations of the first- and second order Benney equations. J. Engng Maths 50, 121-140.
    • (2004) J. Engng Maths , vol.50 , pp. 121-140
    • Oron, A.1    Gottlieb, O.2
  • 33
    • 0038201926 scopus 로고    scopus 로고
    • Low-dimensional models for vertically falling viscous films
    • Panga, M. K. R. & Balakotaiah, V. 2003 Low-dimensional models for vertically falling viscous films. Phys. Rev. Lett. 90, 154501.
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 154501
    • Panga, M.K.R.1    Balakotaiah, V.2
  • 34
    • 37649028561 scopus 로고    scopus 로고
    • Long-wavelength equation for vertically falling films
    • Panga, M. K. R., Mudunuri, R. R. & Balakotaiah, V. 2005 Long-wavelength equation for vertically falling films. Phys. Rev. E 71, 036310.
    • (2005) Phys. Rev. E , vol.71 , pp. 036310
    • Panga, M.K.R.1    Mudunuri, R.R.2    Balakotaiah, V.3
  • 35
    • 0344393779 scopus 로고    scopus 로고
    • Three-dimensional wave dynamics on a falling film and associated mass transfer
    • Park, C. D. & Nosoko, T. 2003 Three-dimensional wave dynamics on a falling film and associated mass transfer. AIChE J. 49, 2715-2727.
    • (2003) AIChE J. , vol.49 , pp. 2715-2727
    • Park, C.D.1    Nosoko, T.2
  • 37
    • 0020829094 scopus 로고
    • On solitary waves running down an inclined plane
    • Pumir, A., Manneville, P. & Pomeau, Y. 1983 On solitary waves running down an inclined plane. J. Fluid Mech. 135, 27-50.
    • (1983) J. Fluid Mech. , vol.135 , pp. 27-50
    • Pumir, A.1    Manneville, P.2    Pomeau, Y.3
  • 38
    • 0030260197 scopus 로고    scopus 로고
    • A full-scale numerical study of interfacial instabilities in thin-film flows
    • Ramaswamy, B., Chippada, S. & Joo, S. W. 1996 A full-scale numerical study of interfacial instabilities in thin-film flows. J. Fluid Mech. 325, 163-194.
    • (1996) J. Fluid Mech. , vol.325 , pp. 163-194
    • Ramaswamy, B.1    Chippada, S.2    Joo, S.W.3
  • 39
    • 0042515579 scopus 로고    scopus 로고
    • Low-dimensional models of thin film fluid dynamics
    • Roberts, A. 1996 Low-dimensional models of thin film fluid dynamics. Phys. Lett. A 212, 63-71.
    • (1996) Phys. Lett. A , vol.212 , pp. 63-71
    • Roberts, A.1
  • 40
    • 0001308235 scopus 로고
    • Three-dimensional long waves on a liquid film
    • Roskes, G. 1969 Three-dimensional long waves on a liquid film. Phys. Fluids 13, 1440-1445.
    • (1969) Phys. Fluids , vol.13 , pp. 1440-1445
    • Roskes, G.1
  • 41
    • 0037051414 scopus 로고    scopus 로고
    • A lubrication model of coating flows over a curved substrate in space
    • Roy, R., Roberts, A. & Simpson, M. 2002 A lubrication model of coating flows over a curved substrate in space. J. Fluid Mech. 454, 235-261.
    • (2002) J. Fluid Mech. , vol.454 , pp. 235-261
    • Roy, R.1    Roberts, A.2    Simpson, M.3
  • 42
    • 33749008367 scopus 로고    scopus 로고
    • Dynamique d'un film mince s'écoulant le long d'un plan incliné
    • PhD dissertation, École polytechnique
    • Ruyer-Quil, C. 1999 Dynamique d'un film mince s'écoulant le long d'un plan incliné. PhD dissertation, École polytechnique.
    • (1999)
    • Ruyer-Quil, C.1
  • 43
    • 0000363773 scopus 로고    scopus 로고
    • Modeling film flows down inclined planes
    • Ruyer-Quil, C. & Manneville, P. 1998 Modeling film flows down inclined planes. Eur. Phys. J. B 6, 277-292.
    • (1998) Eur. Phys. J. B , vol.6 , pp. 277-292
    • Ruyer-Quil, C.1    Manneville, P.2
  • 44
    • 0000232672 scopus 로고    scopus 로고
    • Improved modeling of flows down inclined planes
    • Ruyer-Quil, C. & Manneville, P. 2000 Improved modeling of flows down inclined planes. Eur. Phys. J. B 15, 357-369.
    • (2000) Eur. Phys. J. B , vol.15 , pp. 357-369
    • Ruyer-Quil, C.1    Manneville, P.2
  • 45
    • 19744373846 scopus 로고    scopus 로고
    • Comment on "Low-dimensional models for vertically falling viscous films"
    • Ruyer-Quil, C. & Manneville, P. 2004 Comment on "Low-dimensional models for vertically falling viscous films". Phys. Rev. Lett 93, 199401.
    • (2004) Phys. Rev. Lett , vol.93 , pp. 199401
    • Ruyer-Quil, C.1    Manneville, P.2
  • 46
    • 24944587077 scopus 로고    scopus 로고
    • Thermocapillary long waves in a liquid film flow. Part 1. Low-dimensional formulation
    • Ruyer-Quil, C., Scheid, B., Kalliadasis, S., Velarde, M. G. & R. Kh. Zeytounian 2005 Thermocapillary long waves in a liquid film flow. Part 1. Low-dimensional formulation. J. Fluid Mech. 538, 199-222.
    • (2005) J. Fluid Mech. , vol.538 , pp. 199-222
    • Ruyer-Quil, C.1    Scheid, B.2    Kalliadasis, S.3    Velarde, M.G.4    Zeytounian, R.Kh.5
  • 47
    • 0028038448 scopus 로고
    • Traveling waves on vertical films: Numerical analysis using the finite element method
    • Salamon, T., Armstrong, R. & Brown, R. 1994 Traveling waves on vertical films: Numerical analysis using the finite element method. Phys. Fluids 6, 2202-2220.
    • (1994) Phys. Fluids , vol.6 , pp. 2202-2220
    • Salamon, T.1    Armstrong, R.2    Brown, R.3
  • 48
    • 27744488569 scopus 로고    scopus 로고
    • Self-organization of two-dimensional waves in an active-dispersive-dissipative nonlinear medium
    • Saprykin, S., Demekhev, E. A. & Kalliadasis, S. 2005 Self-organization of two-dimensional waves in an active-dispersive-dissipative nonlinear medium. Phys. Rev. Lett. 94, 224101.
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 224101
    • Saprykin, S.1    Demekhev, E.A.2    Kalliadasis, S.3
  • 49
    • 24944569990 scopus 로고    scopus 로고
    • Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves
    • Scheid, B., Ruyer-Quil, C., Kalliadasis, S., Velarde, M. G. & R. Kh. Zeytounian 2005a Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves. J. Fluid Mech. 538, 223-244.
    • (2005) J. Fluid Mech. , vol.538 , pp. 223-244
    • Scheid, B.1    Ruyer-Quil, C.2    Kalliadasis, S.3    Velarde, M.G.4    Zeytounian, R.Kh.5
  • 50
    • 17044435482 scopus 로고    scopus 로고
    • Validity domain of the Benney equation including Marangoni effect for closed and open flows
    • Scheid, B., Ruyer-Quil, C., Thiele, U., Kabov, O., Legros, J. & Colinet, P. 2005b Validity domain of the Benney equation including Marangoni effect for closed and open flows. J. Fluid Mech. 527, 303-335.
    • (2005) J. Fluid Mech. , vol.527 , pp. 303-335
    • Scheid, B.1    Ruyer-Quil, C.2    Thiele, U.3    Kabov, O.4    Legros, J.5    Colinet, P.6
  • 53
    • 0001778457 scopus 로고
    • Wave flow regimes of a thin layer of viscous fluid subject to gravity
    • (English transl. Fluid Dynamics 2, Faraday Press, NY, 1970, pp. 29-34)
    • Shkadov, V. 1967 Wave flow regimes of a thin layer of viscous fluid subject to gravity. Izv. Ak. Nauk SSSR, Mekh. Zhi. Gaz 2, 43-51 (English transl. Fluid Dynamics 2, Faraday Press, NY, 1970, pp. 29-34).
    • (1967) Izv. Ak. Nauk SSSR, Mekh. Zhi. Gaz , vol.2 , pp. 43-51
    • Shkadov, V.1
  • 54
    • 0002443135 scopus 로고
    • Solitary waves in a layer of viscous liquid
    • Shkadov, V. 1977 Solitary waves in a layer of viscous liquid. Izv. Ak. Nauk SSSR, Mekh. Zhi. Gaz 1, 63-66.
    • (1977) Izv. Ak. Nauk SSSR, Mekh. Zhi. Gaz , vol.1 , pp. 63-66
    • Shkadov, V.1
  • 55
    • 0043234556 scopus 로고    scopus 로고
    • Electrodiffusion detection of the near-wall flow reversal in liquid films at the regime of solitary waves
    • Tihon, J., Tovchigrechko, V., Sobol'ik, V. & Wein, O. 2003 Electrodiffusion detection of the near-wall flow reversal in liquid films at the regime of solitary waves. J. Appl. Electrochem. 33 (7), 577-587.
    • (2003) J. Appl. Electrochem. , vol.33 , Issue.7 , pp. 577-587
    • Tihon, J.1    Tovchigrechko, V.2    Sobol'ik, V.3    Wein, O.4
  • 56
    • 33749014272 scopus 로고
    • Bifurcations of two-dimensional into three-dimensional wave regimes for a vertically flowing liquid film
    • Trifonov, Y. Y. 1989 Bifurcations of two-dimensional into three-dimensional wave regimes for a vertically flowing liquid film. Izv. Ak. Nauk SSR, Mekh. Zh. Gaza 5, 109-114.
    • (1989) Izv. Ak. Nauk SSR, Mekh. Zh. Gaza , vol.5 , pp. 109-114
    • Trifonov, Y.Y.1
  • 57
    • 0035947223 scopus 로고    scopus 로고
    • Observations of solitary wave dynamics of film flows
    • Vlachogiannis, M. & Bontozoglou, V. 2001 Observations of solitary wave dynamics of film flows. J. Fluid Mech. 435, 191.
    • (2001) J. Fluid Mech. , vol.435 , pp. 191
    • Vlachogiannis, M.1    Bontozoglou, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.