Flow structure underneath the large amplitude waves of a vertically falling film

AIChE Journal

Volumn 54, Issue 7, 2008, Pages 1725-1740

  Malamataris, Nikolaos A ^a   Balakotaiah, Vemuri ^b  

^a UNIVERSITY OF WESTERN MACEDONIA   (Greece)

^b UNIVERSITY OF HOUSTON   (United States)

Author keywords

Free surface flows; Roll formation; Vertically falling film; Wavy films

Indexed keywords

AMERICAN INSTITUTE OF CHEMICAL ENGINEERS (AICHE); FALLING FILMS; FLOW REVERSALS; FREE SURFACES; INSTANTANEOUS FLOW; LARGE AMPLITUDE WAVES; MOVING FRAMES; NUMERICAL SOLUTIONS; ROLL FORMATION; TWO-DIMENSIONAL NAVIER STOKES EQUATIONS; WALL REGION; WALL SHEAR STRESS (WSS); WAVE AMPLITUDES; WAVE VELOCITY (IGC:D7);

ARSENIC COMPOUNDS; FLOW FIELDS; FLOW OF FLUIDS; FLUID DYNAMICS; FLUID MECHANICS; METALLURGY; MOLECULAR BEAM EPITAXY; NUMERICAL ANALYSIS; NUMERICAL METHODS; SHEAR STRESS; STRENGTH OF MATERIALS; TWO DIMENSIONAL; WALLS (STRUCTURAL PARTITIONS); WAVE EQUATIONS;

NAVIER STOKES EQUATIONS;

EID: 47549097247     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11506     Document Type: Article

References (28)

1. Alekseenko SV, Nakoryakoy VY, Pokusaev BG. Wave formation on a vertical falling liquid film. AIChEJ. 1985;31:1446-1460.
2. Alekseenko SV, Nakoryakov VE, Pokusaev BG. Wave Flow of Liquid Films. New York: Begell House, 1994.
3. Chang HC, Demekhin EA. Complex Wave Dynamics on Thin Films. Amsterdam: Elsevier Science, 2002.
4. Gao D, Morley NB, Dhir V. Numerical simulation of wavy falling film flow using VOF method. J Comp Physics. 2003;192:624-642.
5. Nosoko T, Miyara A. The evolution and subsequent dynamics of waves on a vertically falling liquid film. Phys Fluids. 2004;16:1118-1126.
6. Scheid B, Ruyer-Quil C, Manneville P. Wave patterns in film flows: modelling and three-dimensional waves. J Fluid Mech. 2006;562:183-222.
7. Tihon J, Serifi K, Argyriadi K, Bontozoglou V. Solitary waves on inclined films: their characteristics and the effects on wall shear stress. Exp Fluids. 2006;41:79-89.
8. Mudunuri R, Balakotaiah V. Solitary waves on thin falling films in the very low forcing frequency limit. AIChE J. 2006;52:3995-4003.
9. Wasden FK, Dukler AE. Insights into the hydrodynamics of free falling wavy films. AIChE J. 1989;35:187-195.
10. Miyara A. Numerical simulation of wavy film flowing down on a vertical wall and an inclined wall. Int J Therm Sci. 2000;39:1015-1027.
11. Yu LQ, Wasden FK, Dukler AE, Balakotaiah V. Nonlinear evolution of waves on falling films at high Reynolds numbers. Phys Fluids. 1995;7:1886-1902.
12. Ruyer-Quil C, Manneville P. Improved modeling of flows down inclined planes. Eur Phys J. 2000;B15:357-369.
13. Massot C, Irani F, Lightfoot EN. Modified description of wave motion in a falling film. AIChE J. 1966;12:445-455.
14. Malamataris NA, Vlachogiannis M, Bontozoglou V. Solitary waves on inclined films: flow structure and binary interactions. Phys Fluids. 2002;14:1082-1094.
15. Tihon J, Tovchigrechko V, Sobolik V, Wein O. Electrodiffusion detection of the near-wall flow reversal in liquid films at the regime of solitary waves. J App Electrochem. 2003;33:577-587.
16. Kapitza PL, Kapitza SP. Wave flow in thin layers of a viscous fluid. In: ter Haar D, editor. Collected Papers of PL. Kapitza. New York: The Macmillan Company, 1964:Vol. II:662.
17. Malamataris N, Papanastasiou TC. Unsteady free surface flows on truncated domains. Ind Eng Chem Res. 1991;30:2211-2219.
18. Malamataris NA, Bontozoglou V. Computer aided analysis of viscous film flow along an inclined wavy wall. J Comp Physics. 1999;154:372-392.
19. Ho LW, Patera AT. A Legendre spectral element method for simulation of unsteady incompressible viscous free surface flows. Comput Methods Appl Mech Eng. 1990;80:355-366.
20. Salamon TR, Armstrong RC, Brown RA. Traveling waves on vertical films: numerical analysis using the finite element method. Phys Fluids. 1994;6:2202-2220.
21. Ramaswamy B, Chippada S, Joo SW. A full-scale numerical study of interfacial instabilities in thin-film flows. J Fluid Mech. 1996;325:163-194.
22. Kunugi T, Kino C. DNS of falling film structure and heat transfer via MARS method. Comput Struct. 2005;83:455-462.
23. Panga MKR, Balakotaiah V. Low dimensional models for vertically falling viscous films. Phys Rev Lett. 2003;90:154501.
24. Meza C, Balakotaiah V. Modeling and experimental studies of large amplitude waves on vertically falling films. Chem Eng Sci. in press 2008.
25. Liu J, Gollub JP. Onset of spatially chaotic waves on flowing films. Phys Rev Lett. 1993;70:2289-2292.
26. Liu J, Gollub JP. Solitary wave dynamics of film flows. Phys Fluids. 1994;7:1702-1792.
27. Xu C, Lin Y. A numerical comparison of outflow boundary conditions for spectral element simulations of incompressible flows. Comm Comp Phys. 2007;2:477-500.
28. Kapitza PL. The study of heat transfer in helium II. In: ter Haar D, editor. Collected Papers of PL. Kapitza. New York: The Macmillan Company, 1964: Vol. II:681.