Modeling and experimental studies of large amplitude waves on vertically falling films

Chemical Engineering Science

Volumn 63, Issue 19, 2008, Pages 4704-4734

  Meza, Cesar E ^a   Balakotaiah, Vemuri ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

Free surface flows; Instabilities; Large amplitude waves; Solitary waves; Thin films

Indexed keywords

EXPERIMENTAL DATA; EXPERIMENTAL STUDIES; FALLING FILMS; FLUID PROPERTIES; FREE SURFACE FLOWS; INSTABILITIES; LARGE AMPLITUDE WAVES; SOLITARY WAVES; THIN FILMS; VISCOUS FLUIDS; WAVE AMPLITUDES; WEBER NUMBER;

EID: 47549112969     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2007.12.030     Document Type: Article

References (50)

1. Alekseenko S.V., Nakoryakov V.Y., and Pokusaev B.G. Wave formation on vertical falling liquid films. A.I.Ch.E. Journal 31 (1985) 1446-1460
2. Alekseenko S.V., Nakoryakov V.Y., and Pokusaev B.G. Wave Flow of Liquid Films (1994), Begell House Inc., New York, NY, USA. 1-56700-021-5
3. Alekseenko S.V., Antipin V.A., Guzanov V.V., Kharlamov S.M., and Markovich D.M. Three-dimensional solitary waves on falling liquid film at low Reynolds numbers. Physics of Fluids 17 (2005) 127041:1-127041:4
4. Aussillous P., and Quéré D. Quick deposition of a fluid on the wall of a tube. Physics of Fluids 12 (2000) 2367-2371
5. Balakotaiah V., and Mudunuri R.R. A reply comment by Christian Ruyer-Quil and Paul Manneville. Physical Review Letters 19 (2004) 119402
6. Belkin H.H., MacLeod A.A., Monrad C.C., and Rothfus R.R. Turbulent liquid flow down vertical walls. A.I.Ch.E. Journal 5 2 (1959) 245-248
7. Benjamin B.T. Wave formation in laminar flow down an inclined plane. Journal of Fluid Mechanics 2 (1957) 554-574
8. Benjamin B.T. The development of three-dimensional disturbances in an unstable film of liquid flowing down an inclined plane. Journal of Fluid Mechanics 10 3 (1961) 401-419
9. Chang H.C. Traveling waves on fluid interfaces: normal form analysis of the Kuramoto-Sivashinsky equation. Physics of Fluids 29 (1986) 3142
10. Chang H.C. Wave evolution on falling film. Annual Review of Fluid Mechanics 26 (1994) 103-136
11. Chang H.C., and Demekhin E.A. Complex Wave Dynamics on Thin Films (2002), Elsevier, Amsterdam. 0-444-50970-4
12. Chang H.C., Demekhin E.A., and Kopelevich D.I. Laminarizing effects of dispersion in an active-dissipative nonlinear medium. Physica D 63 (1993) 299-320
13. Chang H.C., Demekhin E.A., and Kopelevich D.I. Nonlinear evolution of waves on a vertically falling film. Journal of Fluid Mechanics 250 (1993) 433-480
14. Chu K.J., and Dukler A.E. Statistical characteristics of thin wavy films. A.I.Ch.E. Journal 20 4 (1974) 695-706
15. Demekhin E.A., and Shkadov V.Ya. Two-dimensional wave regimes of thin liquid films. Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza 3 (1985) 63-67
16. Gao D., Morley N.B., and Dhir V. Numerical simulation of wavy falling film using VOF method. Journal of Computational Physics 192 (2003) 624-642
17. Kapitza P.L., and Kapitza S.P. Wave flow in thin layers of a viscous fluid. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki 19 (1949) 105-120
18. Karimi G., and Kawaji M. An experimental study of free falling films in a vertical tube. Chemical Engineering Science 53 20 (1998) 3501-3512
19. Karimi G., and Kawaji M. Flow characteristics and circulatory motion in wavy falling films with and without counter-current gas flow. International Journal of Multiphase Flow 25 6 (1999) 1305-1319
20. Liu J., and Gollub J.P. Onset of spatially chaotic waves on flowing films. Physical Review Letters 70 15 (1993) 2289-2292
21. Liu J., and Gollub J.P. Solitary wave dynamics of film flows. Physics of Fluids 6 (1994) 1702-1712
22. Liu J., Pauls J.D., and Gollub J.P. Measurements of the primary instabilities of film flows. Journal of Fluid Mechanics 250 (1993) 69-101
23. Liu J., Schneider J.B., and Gollub J.P. Three-dimensional instabilities of film flows. Physics of Fluids 7 (1995) 55-67
24. Malamataris, N.A., Balakotaiah, V., 2008. Flow reversal and cellular patterns in vertically falling films. A.I.Ch.E. Journal, in review.
25. Malamataris N.A., Vlachogiannis M., and Bontozoglou V. Solitary waves on inclined films: flow structure and binary interactions. Physics of Fluids 14 (2002) 1082-1094
26. Miyara A. Numerical simulation of wavy liquid film flowing down on a vertical wall and an inclined wall. International Journal of Thermal Science 39 (2000) 1015-1027
27. Moran K., Inumaru J., and Kawaji M. Instantaneous hydrodynamics of a laminar wavy liquid film. International Journal of Multiphase Flow 28 5 (2002) 731-755
28. Mudunuri, R.R., 2006. Dynamics of free falling thin viscous films. Dissertation, University of Houston.
29. Mudunuri R.R., and Balakotaiah V. Solitary waves on thin falling films in the very low forcing frequency limit. A.I.Ch.E. Journal 52 12 (2006) 3995-4003
30. Nakoryakov V.E., Pokusaev B.G., and Alekseenko S.V. Stationary two-dimensional roll waves on vertical falling liquid films. Soviet Journal of Engineering Physics 30 (1976) 780-785
31. Nguyen L.T., and Balakotaiah V. Modeling and experimental studies of wave evolution on free falling viscous films. Physics of Fluids 12 9 (2000) 2236-2256
32. Nosoko T., and Miyara A. The evolution and the subsequent dynamics of waves on a vertically falling liquid film. Physics of Fluids 16 4 (2004) 1118-1126
33. Nosoko T., Yoshimure P.N., and Oyakawa K. Characteristics of two-dimensional waves on a falling liquid film. Chemical Engineering Science 51 (1996) 725-732
34. Nusselt W. Die oberflachenkondensation des wasserdampfes. Zeitschrift des Vereines Deutscher Ingenieure 60 (1916) 541-546
35. Panga M.K.R., and Balakotaiah V. Low-dimensional models for vertically falling viscous films. Physical Review Letters 90 (2003) 154501:1-154501:4
36. Panga M.K.R., Mudunuri R.R., and Balakotaiah V. Long-wavelength equation for vertically falling films. Physical Review E 71 (2005) 036310:1-036310:18
37. Park C.D., and Nosoko T. Three-dimensional wave dynamics on a falling film and associated mass transfer. A.I.Ch.E. Journal 49 (2003) 2715-2727
38. Ramaswamy B., Chippada S., and Joo S.W. A full-scale numerical study of interfacial instabilities in thin-films. Journal of Fluid Mechanics 325 (1996) 163-194
39. Ruyer-Quil C., and Manneville P. Modeling film flows down inclined planes. The European Physical Journal B 6 (1998) 277-292
40. Ruyer-Quil C., and Manneville P. Improved modeling of flows down inclined planes. The European Physical Journal B 15 (2000) 357-369
41. Ruyer-Quil C., and Manneville P. Further accuracy and convergence results on the modeling of flows down inclined planes by weighted-residual approximations. Physics of Fluids 14 (2002) 170-183
42. Ruyer-Quil C., and Manneville P. Comment on "Low-dimensional models for vertically falling viscous films". Physical Review Letter 93 (2004) 199401
43. Ruyer-Quil C., and Manneville P. On the speed of solitary waves running down a vertical wall. Journal of Fluid Mechanics 531 (2005) 181-190
44. Shkadov V.Ya. Theory of wave flows of a thin layer of a viscous liquid. Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza 2 (1968) 20-25
45. Takamasa T., and Kobayashi K. Measuring interfacial waves on film flowing down tube inner wall using laser focus displacement meter. International Journal of Multiphase Flow 26 9 (2000) 1493-1507
46. Tihon J., Tovchigrechko V., Sobol'iK V., and Wein O. Electro diffusion detection of the near-wall flow reversal in liquid films at the regime of solitary waves. Journal of Applied Electrochemistry 33 7 (2003) 577-587
47. Tihon J., Serifi K., Argyriadi K., and Bontozoglou V. Solitary waves on inclined films: their characteristics and the effects on wall shear stress. Experiments in Fluids 41 (2006) 79-89
48. Wallis G.B. One-Dimensional Two-Phase Flow (1969), McGraw-Hill, New York
49. Yih C.S. Stability of liquid flow down an inclined plane. Physics of Fluids 6 (1963) 321-324
50. Yu L.Q., Wasden F.K., Dukler A.E., and Balakotaiah V. Nonlinear evolution of waves on falling films at high Reynolds numbers. Physics of Fluids 7 (1995) 1886-1902