The evolution and subsequent dynamics of waves on a vertically falling liquid film

Physics of Fluids

Volumn 16, Issue 4, 2004, Pages 1118-1126

  Nosoko, T ^a   Miyara, A ^b  

^a UNIVERSITY OF THE RYUKYUS   (Japan)

^b SAGA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; COALESCENCE; COMPUTER SIMULATION; FREQUENCIES; REYNOLDS NUMBER; STABILITY; WAVEFRONTS;

SINUSIODAL WAVES; SPATIOTEMPORAL EVOLUTION;

WATER WAVES;

LIQUID FILM; MATHEMATICAL ANALYSIS; MODELING; REYNOLDS NUMBER; WAVE;

EID: 1842787484     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1650840     Document Type: Article

References (40)

1. H.-C. Chang and E. A. Demekhin, Complex Wave Dynamics on Thin Films (Elsevier, Amsterdam, 2002).
2. S. V. Alekseenko, V. E. Nakoryakov, and B. G. Pokusaev, Wave Flow of Liquid Films (Begell, New York, 1994).
3. T. B. Benjamin, "Wave formation in laminar flow down an inclined plane," J. Fluid Mech. 2, 554 (1957).
4. C. S. Yih, "Stability of liquid flow down an inclined plane," Phys. Fluids 6, 321 (1963).
5. B. E. Anshus and S. L. Goren, "A method of getting approximate solutions to the Orr-Sommerfeld equation for flow on a vertical wall," AIChE J. 12, 1004 (1966).
6. W. B. Krantz and W. B. Owens, "Spatial formulation of the Orr-Sommerfeld equation for thin liquid films flowing down a plane," AIChE J. 19, 1163 (1973).
7. F. W. Pierson and S. Whitaker, "Some theoretical and experimental observations of the wave structure of falling liquid films," Ind. Eng. Chem. Fundam, 16, 401 (1977).
8. D. J. Benney, "Long waves on liquid films," J. Math. Phys. 45, 150 (1966).
9. S. P. Lin, "Finite amplitude stability of a parallel flow with a free surface," J. Fluid Mech. 36, 113 (1969).
10. B. Gjevik, "Occurrence of finite-amplitude surface waves on a falling liquid films," Phys. Fluids 13, 1918 (1970).
11. C. Nakaya, "Long waves on a thin fluid layer flowing down an inclined plane," Phys. Fluids 18, 1407 (1975).
12. A. Pumir, P. Manneville, and Y. Pomeau, "On solitary waves running down an inclined plane," J. Fluid Mech. 135, 27 (1983).
13. S. W. Joo, S. H. Davis, and S. G. Bankoff, "Long-wave instabilities of heated falling films: Two-dimensional theory of uniform layers," J. Fluid Mech. 230, 117 (1991).
14. T. Ooshida, "Surface equation of falling film flows with moderate Reynolds number and large but finite Weber number," Phys. Fluids 11, 3247 (1999).
15. B. Ramaswamy, S. Chippada, and S. W. Joo, "A full-scale numerical study of interfacial instabilities in thin-film flows," J. Fluid Mech. 325, 163 (1996).
16. O. Yu. Tsvelodub and Yu. Ya. Trifonov, "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, 149 (1992).
17. P. L. Kapitza and S. P. Kapitza, "Wave flow of thin layers of a viscous fluid: Experimental study of undulatory flow conditions," in Collected Papers of P.L. Kapitza, Vol. 2, edited by D. Ter Haar (Pergamon, New York, 1965).
18. S. V. Alekseenko, V. E. Nakoryakov, and B. G. Pokusaev, "Wave formation on a vertical falling liquid film," AIChE J. 31, 1446 (1985).
19. H.-C. Chang, E. A. Demekhin, and D. I. Kopelevich, "Stability of a solitary pulse against wave packet disturbances in an active medium," Phys. Rev. Lett. 75, 1747 (1995).
20. H.-C. Chang, E. A. Demekhin, and D. I. Kopelevich, "Nonlinear evolution of waves on a vertically falling film," J. Fluid Mech. 250, 433 (1993).
21. T. Nagasaki and K. Hijikata, "A numerical study of interfacial waves on a falling liquid film," Proc. ANS National Heat Transfer Conf. 4, 23 (1989).
22. T. Nosoko, P. N. Yoshimura, T. Nagata, and K. Oyakawa, "Characteristics of two-dimensional waves on a falling liquid films," Chem. Eng. Sci. 51, 725 (1996).
23. J. Liu and J. P. Gollub, "Solitary wave dynamics of film flows," Phys. Fluids 6, 1702 (1994).
24. H.-C. Chang, E. A. Demekhin, E. Kalaidin, and Y. Ye, "Coarsening dynamics of falling-film solitary waves," Phys. Rev. E 54, 1467 (1996).
25. H.-C. Chang, E. A. Demekhin, and E. Kalaidin, "Simulation of noise-driven wave dynamics on a falling film," AIChE J. 42, 1553 (1996).
26. H.-C. Chang, E. A. Demekhin, and S. S. Saprikin, "Noise-driven wave transitions on a vertically falling film," J. Fluid Mech. 462, 255 (2002).
27. F. P. Stainthorp and J. M. Allen, "The development of ripples on the surface of a liquid film flowing inside a vertical tube," Trans. Inst. Chem. Eng. 43, T85 (1965).
28. A. Miyara, "Numerical simulation of wavy liquid film flowing down on a vertical wall and an inclined wall," Int. J. Therm. Sci. 39, 1015 (2000).
29. A. Miyara, "Flow dynamics and heat transfer of wavy condensate film," Trans. ASME, Ser. C: J. Heat Transfer 123, 492 (2001).
30. W. B. Krantz and S. L. Goren, "Stability of thin liquid films flowing down a plane," Ind. Eng. Chem. Fundam. 10, 91 (1971).
31. J. Liu, J. D. Paul, and J. P. Gollub, "Measurements of the primary instabilities of film flows," J. Fluid Mech. 250, 69 (1993).
32. S. W. Joo and S. H. Davis, "Instabilities of three-dimensional on viscous falling films," J. Fluid Mech. 242, 529 (1992).
33. S. W. Joo and S. H. Davis, "Irregular waves on viscous falling films," Chem. Eng. Commun. 118, 111 (1992).
34. H.-C. Chang, M. Cheng, E. A. Demekhin, and D. I. Kopelevich, "Secondary and tertiary excitation of three-dimensional patterns on a falling film," J. Fluid Mech. 270, 251 (1994).
35. C. D. Park and T. Nosoko, "Three-dimensional wave dynamics on a falling film and associated mass transfer," AIChE J. 49, 2715 (2003).
36. P. N. Yoshimura, T. Nosoko, and T. Nagata, "Enhancement of mass transfer into a falling laminar liquid film by two-dimensional surface waves-Some experimental observations and modeling," Chem. Eng. Sci. 51, 1231 (1996).
37. J. Liu and J. P. Gollub, "Onset of spatially chaotic waves on flowing films," Phys. Rev. Lett. 70, 2289 (1993).
38. C. W. Hirt and J. L. Cook, "Calculating three-dimensional flows around structures and over rough terrain," J. Comput. Phys. 10, 324 (1972).
39. J. Liu, J. B. Schneider, and J. P. Gollub, "Three dimensional instabilities of film flows," Phys. Fluids 7, 55 (1995).
40. T. Kawamura and K. Kuwahara, "Computation of high Reynolds number flow around a circular cylinder with surface roughness," AIAA Pap. 84-0340 (1984).