메뉴 건너뛰기




Volumn 35, Issue 5, 2004, Pages 357-389

Waves induced by instability in falling films of finite thickness

Author keywords

Attractors; Bifurcation; Dynamical system; Limit cycle; Nonlinear waves; Stability; Viscous film

Indexed keywords

GRAVITATION; PARAMETER ESTIMATION; THICKNESS MEASUREMENT; VISCOSITY;

EID: 5144222657     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2004.08.002     Document Type: Article
Times cited : (32)

References (39)
  • 2
    • 85171998034 scopus 로고
    • Long waves on liquid films
    • D.J. Benney Long waves on liquid films J. Math. Phys. 45 2 1966 150-155
    • (1966) J. Math. Phys. , vol.45 , Issue.2 , pp. 150-155
    • Benney, D.J.1
  • 3
    • 0021696319 scopus 로고
    • On the nonuniqueness of nonlinear wave solutions in a viscous layer
    • A.V. Bunov E.A. Demekhin V.Ya. Shkadov On the nonuniqueness of nonlinear wave solutions in a viscous layer J. Appl. Math. Mech. 48 4 1984 691-696
    • (1984) J. Appl. Math. Mech. , vol.48 , Issue.4 , pp. 691-696
    • Bunov, A.V.1    Demekhin, E.A.2    Shkadov, V.Ya.3
  • 5
    • 0004185917 scopus 로고
    • Wave evolution on a falling film
    • H.-C. Chang Wave evolution on a falling film Annu. Rev. Fluid Mech. 26 1994 103-136
    • (1994) Annu. Rev. Fluid Mech. , vol.26 , pp. 103-136
    • Chang, H.-C.1
  • 8
    • 0027473084 scopus 로고
    • Nonlinear evolution of waves on a vertically falling film
    • H.-C. Chang E.A. Demekhin D.L. Kopelevich Nonlinear evolution of waves on a vertically falling film J. Fluid Mech. 250 1993 433-480
    • (1993) J. Fluid Mech. , vol.250 , pp. 433-480
    • Chang, H.-C.1    Demekhin, E.A.2    Kopelevich, D.L.3
  • 9
    • 0029328949 scopus 로고
    • Interaction dynamics of solitary waves on a falling film
    • H.-C. Chang E.A. Demekhin E. Kalaidin Interaction dynamics of solitary waves on a falling film J. Fluid Mech. 294 1995 123-154
    • (1995) J. Fluid Mech. , vol.294 , pp. 123-154
    • Chang, H.-C.1    Demekhin, E.A.2    Kalaidin, E.3
  • 10
    • 0348131990 scopus 로고    scopus 로고
    • Scalings of spatio-temporal dynamics on a falling film
    • H.-C. Chang E.A. Demekhin E. Kalaidin Scalings of spatio-temporal dynamics on a falling film Phys. Scripta T 67 1996 67-72
    • (1996) Phys. Scripta T , vol.67 , pp. 67-72
    • Chang, H.-C.1    Demekhin, E.A.2    Kalaidin, E.3
  • 11
    • 0030175147 scopus 로고    scopus 로고
    • Simulation of noise-driven wave dynamics on a falling film
    • H.-C. Chang E.A. Demekhin E. Kalaidin Simulation of noise-driven wave dynamics on a falling film A.I.Ch.E. J. 42 6 1996 1553-1568
    • (1996) A.I.Ch.E. J. , vol.42 , Issue.6 , pp. 1553-1568
    • Chang, H.-C.1    Demekhin, E.A.2    Kalaidin, E.3
  • 12
    • 5144232842 scopus 로고
    • On nonstationary waves in the layer of liquid layer
    • E.A. Demekhin V.Ya. Shkadov On nonstationary waves in the layer of liquid layer Fluid Dyn. 16 3 1981 151-154
    • (1981) Fluid Dyn. , vol.16 , Issue.3 , pp. 151-154
    • Demekhin, E.A.1    Shkadov, V.Ya.2
  • 13
    • 0013350370 scopus 로고
    • On three-dimensional nonstationary waves on a downflowing liquid film
    • E.A. Demekhin V.Ya. Shkadov On three-dimensional nonstationary waves on a downflowing liquid film Fluid Dyn. 19 5 1984 21-27
    • (1984) Fluid Dyn. , vol.19 , Issue.5 , pp. 21-27
    • Demekhin, E.A.1    Shkadov, V.Ya.2
  • 15
    • 36849063422 scopus 로고
    • On the existence of critical Reynolds number for liquid film flowing under the action of gravity
    • E.A. Demekhin G.Y. Tokarev V.Ya. Shkadov On the existence of critical Reynolds number for liquid film flowing under the action of gravity Theor. Found. Chem. Technol. 21 3 1987 555-589
    • (1987) Theor. Found. Chem. Technol. , vol.21 , Issue.3 , pp. 555-589
    • Demekhin, E.A.1    Tokarev, G.Y.2    Shkadov, V.Ya.3
  • 17
    • 0000516438 scopus 로고
    • Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media
    • E.A. Demekhin G.Y. Tokarev V.Ya. Shkadov Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media Physica D 52 1991 338-361
    • (1991) Physica D , vol.52 , pp. 338-361
    • Demekhin, E.A.1    Tokarev, G.Y.2    Shkadov, V.Ya.3
  • 18
    • 34250423902 scopus 로고
    • Nonlinear theory of waves in a viscous liquid film
    • N.M. Esmail V.Ya. Shkadov Nonlinear theory of waves in a viscous liquid film Fluid Dyn. 6 4 1971 54-59
    • (1971) Fluid Dyn. , vol.6 , Issue.4 , pp. 54-59
    • Esmail, N.M.1    Shkadov, V.Ya.2
  • 19
    • 0001415169 scopus 로고
    • Wave flow of thin viscous liquid films. III. Experimental study of wave regime of a flow
    • P.L. Kapitza S.P. Kapitza Wave flow of thin viscous liquid films. III. Experimental study of wave regime of a flow J. Exp. Theor. Phys. 19 2 1949 105-120
    • (1949) J. Exp. Theor. Phys. , vol.19 , Issue.2 , pp. 105-120
    • Kapitza, P.L.1    Kapitza, S.P.2
  • 20
    • 0009042662 scopus 로고
    • A propos d'une equation de ls dynamique ondulatoire dans les films liquids
    • A.E. Koulago D. Parséghian A propos d'une equation de ls dynamique ondulatoire dans les films liquids J. Phis. III France 5 1995 309-312
    • (1995) J. Phis. III France , vol.5 , pp. 309-312
    • Koulago, A.E.1    Parséghian, D.2
  • 21
    • 0000363773 scopus 로고    scopus 로고
    • Modeling film flows down inclined planes
    • C. Ruyer-Quil P. Manneville Modeling film flows down inclined planes Eur. Phys. J. B 6 1998 277-292
    • (1998) Eur. Phys. J. B , vol.6 , pp. 277-292
    • Ruyer-Quil, C.1    Manneville, P.2
  • 22
    • 0001546143 scopus 로고
    • On the case of existence of a countable set of periodic movements
    • L.P. Shilnikov On the case of existence of a countable set of periodic movements Dokl. Akad. Nauk SSSR 160 3 1965 558-561
    • (1965) Dokl. Akad. Nauk SSSR , vol.160 , Issue.3 , pp. 558-561
    • Shilnikov, L.P.1
  • 23
    • 34250486245 scopus 로고
    • Wave flow regimes of a thin layer of viscous fluid subject to gravity
    • V.Ya. Shkadov Wave flow regimes of a thin layer of viscous fluid subject to gravity Fluid Dyn. 2 1 1967 29-34
    • (1967) Fluid Dyn. , vol.2 , Issue.1 , pp. 29-34
    • Shkadov, V.Ya.1
  • 24
    • 0007786027 scopus 로고
    • Towards a theory of wave flows of thin viscous-liquid layer
    • V.Ya. Shkadov Towards a theory of wave flows of thin viscous-liquid layer Fluid Dyn. 3 2 1968 20-25
    • (1968) Fluid Dyn. , vol.3 , Issue.2 , pp. 20-25
    • Shkadov, V.Ya.1
  • 25
    • 5144224656 scopus 로고
    • Nonlinear hydrodynamic stability ofviscous liquid layers, capillary jets and inner flows
    • Dept. of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow
    • Shkadov V.Ya. 1973. Nonlinear hydrodynamic stability ofviscous liquid layers, capillary jets and inner flows. Diss. D. Sci., Dept. ofMechanics and Mathematics, Lomonosov Moscow State University, Moscow, 261pp
    • (1973) Diss. D. Sci. , pp. 261
    • Shkadov, V.Ya.1
  • 26
    • 0002443135 scopus 로고
    • Solitary waves in a viscous liquid layer
    • V.Ya. Shkadov Solitary waves in a viscous liquid layer Fluid Dyn. 12 1 1977 63-66
    • (1977) Fluid Dyn. , vol.12 , Issue.1 , pp. 63-66
    • Shkadov, V.Ya.1
  • 27
    • 0012142631 scopus 로고    scopus 로고
    • Wavy falling liquid films: Theory and computation instead of physical experiment
    • July Chang, H.-C. (Ed.) Kluwer
    • Shkadov V.Ya. Sisoev G.M. July 2000. Wavy falling liquid films: theory and computation instead of physical experiment. In: Chang, H.-C. (Ed.), IUTAM Symposium on NonlinearWaves in Multi-Phase Flow, Kluwer, pp. 1-10
    • (2000) IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow , pp. 1-10
    • Shkadov, V.Ya.1    Sisoev, G.M.2
  • 28
    • 0035540878 scopus 로고    scopus 로고
    • On the theory of solitary waves in flowing-down layer of viscous fluid
    • V.Ya. Shkadov G.M. Sisoev On the theory of solitary waves in flowing-down layer of viscous fluid Physics-Doklady 46 10 2001 760-764
    • (2001) Physics-Doklady , vol.46 , Issue.10 , pp. 760-764
    • Shkadov, V.Ya.1    Sisoev, G.M.2
  • 29
    • 0031350744 scopus 로고    scopus 로고
    • Development of dominating waves from small disturbances in falling viscous-liquid films
    • G.M. Sisoev V.Ya. Shkadov Development of dominating waves from small disturbances in falling viscous-liquid films Fluid Dyn. 32 6 1997 784-792
    • (1997) Fluid Dyn. , vol.32 , Issue.6 , pp. 784-792
    • Sisoev, G.M.1    Shkadov, V.Ya.2
  • 30
    • 0032286543 scopus 로고    scopus 로고
    • Instability and coherence of unsteady solitary waves in liquid films
    • G.M. Sisoev V.Ya. Shkadov Instability and coherence of unsteady solitary waves in liquid films Physics-Doklady 43 12 1998 785-789
    • (1998) Physics-Doklady , vol.43 , Issue.12 , pp. 785-789
    • Sisoev, G.M.1    Shkadov, V.Ya.2
  • 31
    • 0033244561 scopus 로고    scopus 로고
    • A two-parameter manifold of wave solutions to an equation for a falling film of a viscous fluid
    • G.M. Sisoev V.Ya. Shkadov A two-parameter manifold of wave solutions to an equation for a falling film of a viscous fluid Physics-Doklady 44 7 1999 454-459
    • (1999) Physics-Doklady , vol.44 , Issue.7 , pp. 454-459
    • Sisoev, G.M.1    Shkadov, V.Ya.2
  • 32
    • 5144227008 scopus 로고    scopus 로고
    • Instability and reformation of regular waves in falling films of viscous liquid
    • G.M. Sisoev V.Ya. Shkadov Instability and reformation of regular waves in falling films of viscous liquid Moscow Univ. Mech. Bull. 55 4 2000 19-23
    • (2000) Moscow Univ. Mech. Bull. , vol.55 , Issue.4 , pp. 19-23
    • Sisoev, G.M.1    Shkadov, V.Ya.2
  • 33
    • 0347662171 scopus 로고    scopus 로고
    • Axisymmetric wave regimes in viscous liquid film flow over a spinning disk
    • G.M. Sisoev O.K. Matar C.J. Lawrence Axisymmetric wave regimes in viscous liquid film flow over a spinning disk J. Fluid Mech. 495 2003 385-411
    • (2003) J. Fluid Mech. , vol.495 , pp. 385-411
    • Sisoev, G.M.1    Matar, O.K.2    Lawrence, C.J.3
  • 34
    • 0026205884 scopus 로고
    • Nonlinear waves on the surface of a falling liquid film. Part 1. Waves of the first family and their stability
    • Yu.Ya. Trifonov O.Yu. Tsvelodub Nonlinear waves on the surface of a falling liquid film. Part 1. Waves of the first family and their stability J. Fluid Mech. 229 1991 531-554
    • (1991) J. Fluid Mech. , vol.229 , pp. 531-554
    • Trifonov, Yu.Ya.1    Tsvelodub, O.Yu.2
  • 35
    • 0026809793 scopus 로고
    • Nonlinear waves on the surface of a falling liquid film. Part 2. Bifurcations of the first-family waves and other types of nonlinear waves
    • Yu.Ya. Trifonov O.Yu. Tsvelodub Nonlinear waves on the surface of a falling liquid film. Part 2. Bifurcations of the first-family waves and other types of nonlinear waves J. Fluid Mech. 244 1992 149-169
    • (1992) J. Fluid Mech. , vol.244 , pp. 149-169
    • Trifonov, Yu.Ya.1    Tsvelodub, O.Yu.2
  • 36
    • 0034473098 scopus 로고    scopus 로고
    • The influence of surfactants on the instability of downflowing liquid film
    • M.G. Velarde V.Ya. Shkadov V.P. Shkadova The influence of surfactants on the instability of downflowing liquid film Fluid Dyn. 35 4 2000 515-524
    • (2000) Fluid Dyn. , vol.35 , Issue.4 , pp. 515-524
    • Velarde, M.G.1    Shkadov, V.Ya.2    Shkadova, V.P.3
  • 37
    • 5144226799 scopus 로고
    • A note on periodic solutions to flow in a liquid film
    • D.R. Webb A note on periodic solutions to flow in a liquid film A.I.Ch.E. J. 18 5 1972 1068-1069
    • (1972) A.I.Ch.E. J. , vol.18 , Issue.5 , pp. 1068-1069
    • Webb, D.R.1
  • 38
    • 0028993134 scopus 로고
    • Nonlinear evolution of waves on falling film at high Reynolds numbers
    • L.-Q. Yu F.K. Wasden A.E. Duckler V. Balakotaiah Nonlinear evolution of waves on falling film at high Reynolds numbers Phys. Fluids 7 8 1995 1886-1902
    • (1995) Phys. Fluids , vol.7 , Issue.8 , pp. 1886-1902
    • Yu, L.-Q.1    Wasden, F.K.2    Duckler, A.E.3    Balakotaiah, V.4
  • 39
    • 0000606351 scopus 로고    scopus 로고
    • The problem of thermocapillary Bénard-Marangoni instability
    • R.K. Zeytounian The problem of thermocapillary Bénard-Marangoni instability Uspekhi Fizicheskikh Nauk 168 3 1998 259-286
    • (1998) Uspekhi Fizicheskikh Nauk , vol.168 , Issue.3 , pp. 259-286
    • Zeytounian, R.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.