메뉴 건너뛰기




Volumn 325, Issue , 1996, Pages 163-194

A full-scale numerical study of interfacial instabilities in thin-film flows

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLOW INTERACTIONS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; PHASE INTERFACES; WAVEFORM ANALYSIS;

EID: 0030260197     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096008075     Document Type: Article
Times cited : (116)

References (86)
  • 1
    • 0022129451 scopus 로고
    • Wave formation on a vertical falling liquid film
    • ALEKSEENKO, S. V., NAKORYAKOV, V. YE. & POKUSAEV, B. G. 1985 Wave formation on a vertical falling liquid film. AIChE J. 31, 1446-1460.
    • (1985) AIChE J. , vol.31 , pp. 1446-1460
    • Alekseenko, S.V.1    Nakoryakov, V.Y.E.2    Pokusaev, B.G.3
  • 2
    • 0004100309 scopus 로고
    • YAQUI: An arbitrary Lagrangian-Eulerian computer program for fluid at at all speeds
    • LA-5100
    • AMSDEN, A. A. & HIRT, C. W. 1973 YAQUI: an arbitrary Lagrangian-Eulerian computer program for fluid at at all speeds. Los Alamos Scientific Lab. Report, LA-5100.
    • (1973) Los Alamos Scientific Lab. Report
    • Amsden, A.A.1    Hirt, C.W.2
  • 3
    • 0001496891 scopus 로고
    • A method of getting approximate solutions to the Orr-Sommerfeld equation for flow on a vertical wall
    • ANSHUS, B. E. & GOREN, S. L. 1964 A method of getting approximate solutions to the Orr-Sommerfeld equation for flow on a vertical wall. AIChE J. 12, 1004-1008.
    • (1964) AIChE J. , vol.12 , pp. 1004-1008
    • Anshus, B.E.1    Goren, S.L.2
  • 4
    • 0021445340 scopus 로고
    • Simulation of the vertical flow of a thin, wavy film using a finite element method
    • BACH, P. & VILLADSEN, J. 1984 Simulation of the vertical flow of a thin, wavy film using a finite element method. Intl J. Heat Mass Transfer 27, 815-827.
    • (1984) Intl J. Heat Mass Transfer , vol.27 , pp. 815-827
    • Bach, P.1    Villadsen, J.2
  • 6
    • 0001608079 scopus 로고
    • A second-order projection method for the incompressible Navier-Stokes equations
    • BELL, J. B., COLELLA, P. & GLAZ, H. M. 1989 A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 85, 257-283.
    • (1989) J. Comput. Phys. , vol.85 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 7
    • 0019609611 scopus 로고
    • Finite element methods with user controlled meshes for fluid-structure interaction
    • BELYTSCHKO, T. B. & FLANAGAN, D. P. 1982 Finite element methods with user controlled meshes for fluid-structure interaction. Comput. Meth. Appl. Mech. Engng 33, 669-688.
    • (1982) Comput. Meth. Appl. Mech. Engng , vol.33 , pp. 669-688
    • Belytschko, T.B.1    Flanagan, D.P.2
  • 8
    • 84958432524 scopus 로고
    • Wave formation in laminar flow down an inclined plane
    • BENJAMIN, T. B. 1957 Wave formation in laminar flow down an inclined plane. J. Fluid Mech. 2, 554-574.
    • (1957) J. Fluid Mech. , vol.2 , pp. 554-574
    • Benjamin, T.B.1
  • 9
    • 85171998034 scopus 로고
    • Long waves on liquid films
    • BENNEY, D. J. 1966 Long waves on liquid films. J. Math. Phys. 45, 150-155.
    • (1966) J. Math. Phys. , vol.45 , pp. 150-155
    • Benney, D.J.1
  • 10
    • 0019912427 scopus 로고
    • Characteristics of inclined thin films. Waviness and the associated mass transfer
    • BRAUNER, N. & MARON, D. M. 1982 Characteristics of inclined thin films. Waviness and the associated mass transfer, Intl J. Heat Mass Transfer 25, 99-110.
    • (1982) Intl J. Heat Mass Transfer , vol.25 , pp. 99-110
    • Brauner, N.1    Maron, D.M.2
  • 11
    • 3542994036 scopus 로고
    • A generalized arbitrary Lagrangian Eulerian method for incompressible flows with sharp interfaces
    • CHAN, R. K.-C. 1975 A generalized arbitrary Lagrangian Eulerian method for incompressible flows with sharp interfaces. J. Comput. Phys. 17, 311-331.
    • (1975) J. Comput. Phys. , vol.17 , pp. 311-331
    • Chan, R.K.-C.1
  • 12
    • 0004185917 scopus 로고
    • Wave evolution on a falling film
    • CHANG, H.-C. 1994 Wave evolution on a falling film. Ann. Rev. Fluid Mech. 26, 103-136.
    • (1994) Ann. Rev. Fluid Mech. , vol.26 , pp. 103-136
    • Chang, H.-C.1
  • 13
    • 0027473084 scopus 로고
    • Nonlinear evolution of waves on a vertically falling film
    • CHANG, H.-C., DEMEKHIN, E. A. & KOPELEVICH, 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    Kopelevich, D.I.3
  • 14
    • 0029157879 scopus 로고
    • Competition between subharmonic and sideband secondary instabilities on a falling film
    • CHENG, M. & CHANG, H.-C. 1995 Competition between subharmonic and sideband secondary instabilities on a falling film. Phys. Fluids 7, 34-54.
    • (1995) Phys. Fluids , vol.7 , pp. 34-54
    • Cheng, M.1    Chang, H.-C.2
  • 15
    • 0022442552 scopus 로고
    • Gravity and shear wave stability of free surface flows. Part 1. Numerical calculations
    • CHIN, R. W., ABERNATHY, F. F. & BERTSCHY, J. R. 1986 Gravity and shear wave stability of free surface flows. Part 1. Numerical calculations. J. Fluid Mech. 168, 501-513.
    • (1986) J. Fluid Mech. , vol.168 , pp. 501-513
    • Chin, R.W.1    Abernathy, F.F.2    Bertschy, J.R.3
  • 16
    • 40449093496 scopus 로고
    • A numerical method for solving viscous incompressible flow problems
    • CHORIN, A. J. 1967 A numerical method for solving viscous incompressible flow problems. J. Comput. Phys. 2, 12-26.
    • (1967) J. Comput. Phys. , vol.2 , pp. 12-26
    • Chorin, A.J.1
  • 17
    • 0020860514 scopus 로고
    • Arbitrary Lagrangian Eulerian finite element methods
    • ed. T. B. Belytschko & T. J. R. Hughes, John Wiley & Sons
    • DONEA, J. 1983 Arbitrary Lagrangian Eulerian finite element methods. In Computational Methods for Transient Analysis (ed. T. B. Belytschko & T. J. R. Hughes), pp. 474-516. John Wiley & Sons.
    • (1983) Computational Methods for Transient Analysis , pp. 474-516
    • Donea, J.1
  • 18
    • 0020118213 scopus 로고
    • Finite element solution of the unsteady Navier-Stokes equations by fractional step method
    • DONEA, J., GIULIANI, S. & LAVAL, H. 1982a Finite element solution of the unsteady Navier-Stokes equations by fractional step method. Comput. Meth. Appl. Mech. Engng 30, 53-73.
    • (1982) Comput. Meth. Appl. Mech. Engng , vol.30 , pp. 53-73
    • Donea, J.1    Giuliani, S.2    Laval, H.3
  • 19
    • 0019609566 scopus 로고
    • An arbitrary Lagrangian Eulerian finite element method for transient dynamic fluid-structure interactions
    • DONEA, J., GIULIANI, S. & HALLEUX, J. P. 1982b An arbitrary Lagrangian Eulerian finite element method for transient dynamic fluid-structure interactions. Comput. Meth. Appl. Mech. Engng 33, 689-723.
    • (1982) Comput. Meth. Appl. Mech. Engng , vol.33 , pp. 689-723
    • Donea, J.1    Giuliani, S.2    Halleux, J.P.3
  • 20
    • 84980072945 scopus 로고
    • Mathematical solution of the problem of roll-waves in inclined open channels
    • DRESSLER, R. F. 1949 Mathematical solution of the problem of roll-waves in inclined open channels. Commun. Pure Appl. Maths 2, 149-194.
    • (1949) Commun. Pure Appl. Maths , vol.2 , pp. 149-194
    • Dressler, R.F.1
  • 22
    • 0007741502 scopus 로고
    • Occurrence of finite-amplitude surface waves on falling liquid films
    • GJEVIK, B. 1970 Occurrence 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
  • 23
    • 0040740124 scopus 로고
    • Splitting methods for the numerical solution of the incompressible Navier-Stokes equations
    • ed. A. V. Balakrishna et al.
    • GLOWINSKI, R. 1986 Splitting methods for the numerical solution of the incompressible Navier-Stokes equations. In Vistas in Applied Mathematics, Optimization and Software (ed. A. V. Balakrishna et al.), pp. 57-95.
    • (1986) Vistas in Applied Mathematics, Optimization and Software , pp. 57-95
    • Glowinski, R.1
  • 24
    • 84987459282 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly-consistent mass matrix Part 1 : Theory
    • GRESHO, P. M. 1990 On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly-consistent mass matrix Part 1 : Theory. Intl J. Numer. Meth. Fluids 11, 587-620.
    • (1990) Intl J. Numer. Meth. Fluids , vol.11 , pp. 587-620
    • Gresho, P.M.1
  • 25
    • 12044252810 scopus 로고
    • Incompressible fluid dynamics: Some fundamental formulation issues
    • GRESHO, P. M. 1991 Incompressible fluid dynamics: some fundamental formulation issues. Ann. Rev. Fluid Mech. 23, 413-453.
    • (1991) Ann. Rev. Fluid Mech. , vol.23 , pp. 413-453
    • Gresho, P.M.1
  • 26
    • 84987572923 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly-consistent mass matrix Part 2: Implementation
    • GRESHO, P. M. & CHAN, S. T. 1990 On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly-consistent mass matrix Part 2: Implementation. Intl J. Numer. Meth. Fluids 11, 621-660.
    • (1990) Intl J. Numer. Meth. Fluids , vol.11 , pp. 621-660
    • Gresho, P.M.1    Chan, S.T.2
  • 28
    • 17144456156 scopus 로고
    • An arbitrary Lagrangian-Eulerian computing method for all flow speeds
    • HIRT, C. W., AMSDEN, A. A. & COOK, J. L. 1974 An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys, 14, 227-253.
    • (1974) J. Comput. Phys , vol.14 , pp. 227-253
    • Hirt, C.W.1    Amsden, A.A.2    Cook, J.L.3
  • 29
    • 0025449451 scopus 로고
    • A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows
    • Ho, L.-W. & PATERA, A. T. 1990 A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows. Comput. Meth. Appl. Mech. Engng 80, 355-366.
    • (1990) Comput. Meth. Appl. Mech. Engng , vol.80 , pp. 355-366
    • Ho, L.-W.1    Patera, A.T.2
  • 30
    • 0021892288 scopus 로고
    • Nonlinear instability at the interface between two viscous fluids
    • HOOPER, A. P. & GRIMSHAW, R. 1985 Nonlinear instability at the interface between two viscous fluids. Phys. Fluids 28, 37-45.
    • (1985) Phys. Fluids , vol.28 , pp. 37-45
    • Hooper, A.P.1    Grimshaw, R.2
  • 31
    • 0024067463 scopus 로고
    • Viscous flow with large free surface motion
    • HUERTA, A. & LIU, W. K. 1988 Viscous flow with large free surface motion. Comput. Meth. Appl. Mech. Engng 69, 277-324.
    • (1988) Comput. Meth. Appl. Mech. Engng , vol.69 , pp. 277-324
    • Huerta, A.1    Liu, W.K.2
  • 32
    • 0019718251 scopus 로고
    • Lagrangian-Eulerian finite element formulation for incompressible viscous flow
    • HUGHES, T. J. R., LIU, W. K. & ZIMMERMAN, T. 1981 Lagrangian-Eulerian finite element formulation for incompressible viscous flow. Comput. Meth. Appl. Mech. Engng 29, 329-349.
    • (1981) Comput. Meth. Appl. Mech. Engng , vol.29 , pp. 329-349
    • Hughes, T.J.R.1    Liu, W.K.2    Zimmerman, T.3
  • 34
    • 36449006620 scopus 로고
    • On falling-film instabilities and wave breaking
    • Joo, S. W. & DAVIS, S. H. 1991 On falling-film instabilities and wave breaking. Phys. Fluids A 3, 231-232.
    • (1991) Phys. Fluids A , vol.3 , pp. 231-232
    • Joo, S.W.1    Davis, S.H.2
  • 35
    • 0027038012 scopus 로고
    • Irregular waves on viscous falling films
    • Joo, S. W. & DAVIS, S. H. 1992 Irregular waves on viscous falling films. Chem. Engng Commun. 118, 111-123.
    • (1992) Chem. Engng Commun. , vol.118 , pp. 111-123
    • Joo, S.W.1    Davis, S.H.2
  • 36
    • 0026222893 scopus 로고
    • Long-wave instabilities of heated falling films: Two-dimensional theory of uniform layers
    • Joo, S. W., DAVIS, S. H. & BANKOFF, S. G. 1991 Long-wave instabilities of heated falling films: two-dimensional theory of uniform layers. J. Fluid Mech. 230, 117-146.
    • (1991) J. Fluid Mech. , vol.230 , pp. 117-146
    • Joo, S.W.1    Davis, S.H.2    Bankoff, S.G.3
  • 37
    • 0001415169 scopus 로고
    • Wave flow of thin layers of a viscous fluid:III. Experimental study of undulatory flow conditions
    • KAPITZA, P. L. & KAPITZA, S. P. 1949 Wave flow of thin layers of a viscous fluid:III. Experimental study of undulatory flow conditions. Zh. Exp. Teor. Fiz. 19, 105. Also in Collected Papers of P. L. Kapitza (ed. D. Ter Haar), vol. 2, pp. 690-709, Pergamon (1965).
    • (1949) Zh. Exp. Teor. Fiz. , vol.19 , pp. 105
    • Kapitza, P.L.1    Kapitza, S.P.2
  • 38
    • 0003296433 scopus 로고
    • Pergamon
    • KAPITZA, P. L. & KAPITZA, S. P. 1949 Wave flow of thin layers of a viscous fluid:III. Experimental study of undulatory flow conditions. Zh. Exp. Teor. Fiz. 19, 105. Also in Collected Papers of P. L. Kapitza (ed. D. Ter Haar), vol. 2, pp. 690-709, Pergamon (1965).
    • (1965) Collected Papers of P. L. Kapitza , vol.2 , pp. 690-709
    • Ter Haar, D.1
  • 39
    • 0022153145 scopus 로고
    • Finite element analysis of density flow using the velocity correction method
    • KAWAHARA, M. & OHMIYA, K. 1985 Finite element analysis of density flow using the velocity correction method. Intl J. Numer. Meth. Fluids 5, 981-993.
    • (1985) Intl J. Numer. Meth. Fluids , vol.5 , pp. 981-993
    • Kawahara, M.1    Ohmiya, K.2
  • 40
    • 0000574929 scopus 로고
    • Disturbed film flow on a vertical plate
    • KHESHGI, H. S. & SCRIVEN, L. E. 1987 Disturbed film flow on a vertical plate. Phys. Fluids 30, 990-997.
    • (1987) Phys. Fluids , vol.30 , pp. 990-997
    • Kheshgi, H.S.1    Scriven, L.E.2
  • 41
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • KIM, J. & MOIN, P. 1985 Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59, 308-323.
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 42
    • 22244439191 scopus 로고
    • Experimental confirmation of Yih-Benjamin linear stability theory for a falling film on a vertical pipe
    • KNANI, S. & BANKOFF, G. 1993 Experimental confirmation of Yih-Benjamin linear stability theory for a falling film on a vertical pipe. J. Israel. Inst. Chem. Engng 22, 58-61.
    • (1993) J. Israel. Inst. Chem. Engng , vol.22 , pp. 58-61
    • Knani, S.1    Bankoff, G.2
  • 43
    • 0015009170 scopus 로고
    • Stability of thin liquid films flowing down a plane
    • KRANTZ, W. B. & GOREN, S. L. 1971 Stability of thin liquid films flowing down a plane. Indust. Engng Chem. Fundam. 10, 91-101.
    • (1971) Indust. Engng Chem. Fundam. , vol.10 , pp. 91-101
    • Krantz, W.B.1    Goren, S.L.2
  • 45
    • 0026141507 scopus 로고
    • Methods of deterministic chaos applied to the flow of thin wavy films
    • LACY, C. E., SHEINTUCK, M. & DUKLER, A. E. 1991 Methods of deterministic chaos applied to the flow of thin wavy films. AIChE J. 37, 481-489.
    • (1991) AIChE J. , vol.37 , pp. 481-489
    • Lacy, C.E.1    Sheintuck, M.2    Dukler, A.E.3
  • 46
    • 0000853118 scopus 로고
    • An improvement of fractional step method for the incompressible Navier-Stokes equations
    • LE, H. & MOIN, P. 1991 An improvement of fractional step method for the incompressible Navier-Stokes equations. J. Comput. Phys. 92, 369-379.
    • (1991) J. Comput. Phys. , vol.92 , pp. 369-379
    • Le, H.1    Moin, P.2
  • 47
    • 0029769869 scopus 로고    scopus 로고
    • Stationary waves on an inclined sheet of viscous fluid at high Reynolds and moderate Weber numbers
    • LEE, J.-J. & MEI, C. C. 1996 Stationary waves on an inclined sheet of viscous fluid at high Reynolds and moderate Weber numbers. J. Fluid Mech. 307, 191-229.
    • (1996) J. Fluid Mech. , vol.307 , pp. 191-229
    • Lee, J.-J.1    Mei, C.C.2
  • 48
    • 0014479333 scopus 로고
    • Finite amplitude stability of a parallel flow with a free surface
    • LIN, S. P. 1969 Finite amplitude stability of a parallel flow with a free surface. J. Fluid Mech. 36, 113-126.
    • (1969) J. Fluid Mech. , vol.36 , pp. 113-126
    • Lin, S.P.1
  • 49
    • 0000450191 scopus 로고
    • Modeling wavy film flows
    • ed. N. P. Chermemisinoff, Gulf
    • LIN, S. P. & WANG, C. Y. 1985 Modeling wavy film flows. In Encyclopedia of Fluid Mechanics (ed. N. P. Chermemisinoff), vol. 1, pp. 931-951. Gulf.
    • (1985) Encyclopedia of Fluid Mechanics , vol.1 , pp. 931-951
    • Lin, S.P.1    Wang, C.Y.2
  • 50
    • 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
  • 51
    • 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
  • 52
    • 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
  • 53
    • 0029102415 scopus 로고
    • Three dimensional instabilities of film flows
    • Lru, J., SCHNEIDER, J. B. & GOLLUB, J. P. 1995 Three dimensional instabilities of film flows. Phys. Fluids 7, 55-67.
    • (1995) Phys. Fluids , vol.7 , pp. 55-67
    • Lru, J.1    Schneider, J.B.2    Gollub, J.P.3
  • 54
    • 0024031986 scopus 로고
    • Arbitrary Lagrangian Eulerain Petrov-Galerkin finite elements for for nonlinear continua
    • LIU, W. K., CHANG, H., CHEN, J. & BELYTSCHKO, T. 1988 Arbitrary Lagrangian Eulerain Petrov-Galerkin finite elements for for nonlinear continua. Comput. Meth. Appl. Mech. Engng 68, 259-310.
    • (1988) Comput. Meth. Appl. Mech. Engng , vol.68 , pp. 259-310
    • Liu, W.K.1    Chang, H.2    Chen, J.3    Belytschko, T.4
  • 56
    • 0021608931 scopus 로고
    • A finite element method for the three-dimensional non-steady Navier-Stokes equations
    • MIZUKAMI, A. & TSUCHIYA, M. 1984 A finite element method for the three-dimensional non-steady Navier-Stokes equations. Intl J. Numer. Meth. Fluids 4, 349-357.
    • (1984) Intl J. Numer. Meth. Fluids , vol.4 , pp. 349-357
    • Mizukami, A.1    Tsuchiya, M.2
  • 57
    • 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
  • 58
    • 0000755064 scopus 로고    scopus 로고
    • Die Oberflächenkondensation des wasserdampfes
    • NUSSELT, W. Die Oberflächenkondensation des wasserdampfes. Z. Ver. Deut. Ing. 60, 541-569.
    • Z. Ver. Deut. Ing. , vol.60 , pp. 541-569
    • Nusselt, W.1
  • 59
    • 1842707094 scopus 로고
    • Theory and implementation of high-order adaptive hp methods for analysis of incompressible viscous flows
    • ed. S. N. Atluri, AIAA
    • ODEN, J. T. 1992 Theory and implementation of high-order adaptive hp methods for analysis of incompressible viscous flows. In Computational Nonlinear Mechanics in Aerospace Engineering (ed. S. N. Atluri), pp. 321-363. AIAA.
    • (1992) Computational Nonlinear Mechanics in Aerospace Engineering , pp. 321-363
    • Oden, J.T.1
  • 60
    • 0016870918 scopus 로고
    • A simple boundary condition for unbounded hyperbolic flows
    • ORLANSKI, I. 1976 A simple boundary condition for unbounded hyperbolic flows. J. Comput. Phys. 21, 251-269.
    • (1976) J. Comput. Phys. , vol.21 , pp. 251-269
    • Orlanski, I.1
  • 62
    • 0017553761 scopus 로고
    • Some theoretical and experimental observations of the wave structure of falling liquid films
    • PIERSON, F. W. & WHITAKER, S. 1977 Some theoretical and experimental observations of the wave structure of falling liquid films. Indust. Engng Chem. Fundam. 16, 401-408.
    • (1977) Indust. Engng Chem. Fundam. , vol.16 , pp. 401-408
    • Pierson, F.W.1    Whitaker, S.2
  • 63
    • 0001338807 scopus 로고
    • On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
    • PIRONNEAU, O. 1982 On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Numerische Mathematic 38, 309-332.
    • (1982) Numerische Mathematic , vol.38 , pp. 309-332
    • Pironneau, O.1
  • 64
    • 0038001328 scopus 로고
    • An experimental study of wave inception on falling liquid films
    • PORTALSKI, S. & CLEGG, A. J. 1972 An experimental study of wave inception on falling liquid films. Chem. Engng Sci. 27, 1257-1265.
    • (1972) Chem. Engng Sci. , vol.27 , pp. 1257-1265
    • Portalski, S.1    Clegg, A.J.2
  • 65
    • 0016446025 scopus 로고
    • Calculating three-dimensional fluid flows at all speeds with an Eulerian-Lagrangian computing mesh
    • PRACHT, W. E. 1975 Calculating three-dimensional fluid flows at all speeds with an Eulerian-Lagrangian computing mesh. J. Comput. Phys. 17, 132-159.
    • (1975) J. Comput. Phys. , vol.17 , pp. 132-159
    • Pracht, W.E.1
  • 66
    • 0025958532 scopus 로고
    • Long waves on inclined films at high Reynolds number
    • PROKOPIOU, TH., CHENG, M. & CHANG, H.-C. 1991 Long waves on inclined films at high Reynolds number. J. Fluid Mech. 222, 665-691.
    • (1991) J. Fluid Mech. , vol.222 , pp. 665-691
    • Prokopiou, T.H.1    Cheng, M.2    Chang, H.-C.3
  • 67
    • 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
  • 68
    • 0026833162 scopus 로고
    • Semi-implicit and explicit finite element schemes for coupled fluid/thermal problems
    • RAMASWAMY, B., JUE, T. C. & AKIN, J. E. 1992 Semi-implicit and explicit finite element schemes for coupled fluid/thermal problems. Intl J. Numer. Meth. Engng 34, 675-696.
    • (1992) Intl J. Numer. Meth. Engng , vol.34 , pp. 675-696
    • Ramaswamy, B.1    Jue, T.C.2    Akin, J.E.3
  • 69
    • 2542605801 scopus 로고
    • An equal order velocity pressure finite element formulation for solving the time-dependent incompressible Navier-Stokes equations
    • RAMASWAMY, B. & KAWAHARA, M. 1987a An equal order velocity pressure finite element formulation for solving the time-dependent incompressible Navier-Stokes equations. Bull. Facul. Sci. Engng Chuo Univ. 30, 63-104.
    • (1987) Bull. Facul. Sci. Engng Chuo Univ. , vol.30 , pp. 63-104
    • Ramaswamy, B.1    Kawahara, M.2
  • 70
    • 0022797388 scopus 로고
    • Arbitrary Lagrangian-Eulerian finite element method for unsteady, convective, incompressible viscous free surface fluid flow
    • RAMASWAMY, B. & KAWAHARA, M. 1987b Arbitrary Lagrangian-Eulerian finite element method for unsteady, convective, incompressible viscous free surface fluid flow. Intl J. Numer. Meth. Fluids 7, 1053-1075.
    • (1987) Intl J. Numer. Meth. Fluids , vol.7 , pp. 1053-1075
    • Ramaswamy, B.1    Kawahara, M.2
  • 71
    • 0022793493 scopus 로고
    • An equal-order velocity pressure formulation that does not exhibit spurious pressure modes
    • RICE, J. G. & SCHNIPKE, R. J. 1986 An equal-order velocity pressure formulation that does not exhibit spurious pressure modes. Comput. Meth. Appl. Mech. Engng 58, 135-149.
    • (1986) Comput. Meth. Appl. Mech. Engng , vol.58 , pp. 135-149
    • Rice, J.G.1    Schnipke, R.J.2
  • 72
    • 0000638696 scopus 로고
    • Evolution and breaking of liquid film flowing on a vertical cylinder
    • ROSENAU, P. & ORON, A. 1989 Evolution and breaking of liquid film flowing on a vertical cylinder. Phys. Fluids A 1, 1763-1766.
    • (1989) Phys. Fluids A , vol.1 , pp. 1763-1766
    • Rosenau, P.1    Oron, A.2
  • 73
    • 0001308235 scopus 로고
    • Three-dimensional long waves on a liquid film
    • ROSKES, G. J. 1970 Three-dimensional long waves on a liquid film. Phys. Fluids 13, 1440-1445.
    • (1970) Phys. Fluids , vol.13 , pp. 1440-1445
    • Roskes, G.J.1
  • 74
    • 0001804750 scopus 로고
    • Study of the coating flow by the finite element method
    • SAITO, H. & SCRIVEN, L. E. 1981 Study of the coating flow by the finite element method. J. Comput. Phys. 42, 53-76.
    • (1981) J. Comput. Phys. , vol.42 , pp. 53-76
    • Saito, H.1    Scriven, L.E.2
  • 75
    • 0028038448 scopus 로고
    • Travelling waves on vertical films: Numerical analysis using the finite element method
    • SALAMON, T. R., ARMSTRONG, R. C. & BROWN, R. A. 1994 Travelling 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.R.1    Armstrong, R.C.2    Brown, R.A.3
  • 76
    • 84960689556 scopus 로고
    • Finite-element solution procedures for solving the incompressible, Navier-Stokes equations using equal order variable interpolation
    • SCHNEIDER, G. E., RAITHBY, G. D. & YOVANOVICH, M. M. 1978 Finite-element solution procedures for solving the incompressible, Navier-Stokes equations using equal order variable interpolation. Numer. Heat Transfer 1, 443-451.
    • (1978) Numer. Heat Transfer , vol.1 , pp. 443-451
    • Schneider, G.E.1    Raithby, G.D.2    Yovanovich, M.M.3
  • 77
    • 0026416392 scopus 로고
    • Using a segregated finite element scheme to solve the incompressible Navier-Stokes equations
    • SHAW, C. T. 1991 Using a segregated finite element scheme to solve the incompressible Navier-Stokes equations. Intl J. Numer. Meth. Fluids 12, 81-92.
    • (1991) Intl J. Numer. Meth. Fluids , vol.12 , pp. 81-92
    • Shaw, C.T.1
  • 78
    • 0000907920 scopus 로고
    • On the irregular wavy flow of liquid film down a vertical plane
    • SIVASHINSKY, G. I. & MICHELSON, D. M. 1980 On the irregular wavy flow of liquid film down a vertical plane. Prog. Theor. Phys. 63, 2112.
    • (1980) Prog. Theor. Phys. , vol.63 , pp. 2112
    • Sivashinsky, G.I.1    Michelson, D.M.2
  • 81
    • 0001739268 scopus 로고
    • Effect of surface active agents on stability of falling liquid films
    • WHITAKER, S. 1964 Effect of surface active agents on stability of falling liquid films. Indust. Engng Chem. Fundam. 3, 132-142.
    • (1964) Indust. Engng Chem. Fundam. , vol.3 , pp. 132-142
    • Whitaker, S.1
  • 82
    • 0000674333 scopus 로고
    • A second-order accurate pressure correction scheme for viscous incompressible flow
    • VAN KAN, J. 1986 A second-order accurate pressure correction scheme for viscous incompressible flow. SIAM J. Sci. Statist. Comput. 7, 870-891.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 870-891
    • Van Kan, J.1
  • 83
    • 0005688625 scopus 로고
    • Stability of parallel laminar flow with a free surface
    • ASME
    • YIH, C.-S. 1955 Stability of parallel laminar flow with a free surface. Proc. 2nd US Congr. Appl. Mech., pp. 623-628. ASME.
    • (1955) Proc. 2nd US Congr. Appl. Mech. , pp. 623-628
    • Yih, C.-S.1
  • 84
    • 36849122986 scopus 로고
    • Stability of liquid flow down an inclined plane
    • YIH, C.-S. 1963 Stability of liquid flow down an inclined plane. Phys. Fluids 6, 321-324.
    • (1963) Phys. Fluids , vol.6 , pp. 321-324
    • Yih, C.-S.1
  • 85
    • 0026239793 scopus 로고
    • Incompressibility without tears - How to avoid restriction of mixed formulation
    • ZIENKIEWICZ, O. C. & Wu, J. 1991 Incompressibility without tears - how to avoid restriction of mixed formulation. Intl J. Numer. Meth. Engng 34, 1189-1203.
    • (1991) Intl J. Numer. Meth. Engng , vol.34 , pp. 1189-1203
    • Zienkiewicz, O.C.1    Wu, J.2
  • 86
    • 0026906198 scopus 로고
    • A general explicit or semi-explicit algorithm for compressible and incompressible flows, Intl
    • ZIENKIEWICZ, O. C. & Wu, J. 1992 A general explicit or semi-explicit algorithm for compressible and incompressible flows, Intl J. Numer. Meth. Engng 35, 457-479.
    • (1992) J. Numer. Meth. Engng , vol.35 , pp. 457-479
    • Zienkiewicz, O.C.1    Wu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.