Thin-film flow of a power-law liquid falling down an inclined plate

Journal of Non-Newtonian Fluid Mechanics

Volumn 122, Issue 1-3, 2004, Pages 69-78

  Miladinova, S ^a   Lebon, G ^b   Toshev, E ^a  

^a INSTITUTE OF MECHANICS   (Bulgaria)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Long wavelength theory; Power law model; Surface wave instability

Indexed keywords

CONFINED FLOW; NEWTONIAN FLOW; NUMERICAL ANALYSIS; PROBLEM SOLVING; REYNOLDS NUMBER; SATURATION (MATERIALS COMPOSITION);

FLOW RATES; SHEAR-THINNING LIQUIDS; WAVENUMBERS;

PLATES (STRUCTURAL COMPONENTS);

FILM; FLUID MECHANICS; MATHEMATICAL ANALYSIS; POWER LAW FLUID; WAVELENGTH;

EID: 7744228225     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.01.021     Document Type: Article

References (26)

1. H.-C. Chang Wave evolution on a falling film Annu. Rev. Fluid Mech. 26 1994 103-136
2. S.V. Alekseenko V.Ye. Nakoryakov B.G. Pokusaev Wave Flow of Liquid Films 1994 Begell House New York
3. T.B. Benjamin Wave formation in a laminar flow down an inclined plane J. Fluid Mech. 2 1957 554-574
4. C.-S. Yih Stability of liquid film down an inclined plane Phys. Fluids 6 1963 321-324
5. D.J. Benney Long waves on liquid films J. Maths. Phys. 45 1966 150-155
6. B. Gjevik Occurrence of finite-amplitude surface waves on falling liquid films Phys. Fluids 13 1970 1918-1925
7. S.-P. Lin Finite amplitude side-band stability of a viscous film J. Fluid Mech. 63 1974 417-429
8. A. Pumir P. Manneville Y. Pomeau On solitary waves running down an inclined plane J. Fluid Mech. 135 1983 27-50
9. S. Miladinova S. Slavtchev G. Lebon J.-C. Legros Long-wave instabilities of non-uniformly heated films J. Fluid Mech. 453 2002 153-175
10. V.Ya. Shkadov Wave modes in the gravity flow of a thin layer of a viscous fluid Izv. Akad. Nauk. SSSR, Mekh. Zhid. i Gaza 1 1967 43-51
11. Th. Prokopiou M. Cheng H.-C. Chang Long waves on inclined films at high Reynolds number J. Fluid Mech. 222 1991 665-691
12. J. Liu J.D. Paul J.P. Gollub Measurements of the primary instabilities of film flows J. Fluid Mech. 250 1993 69-101
13. J. Liu J.B. Schneider J.P. Gollub Three dimensional instabilities of film flows Phys. Fluids A7 1995 55-67
14. W.R. Astarita Dynamics of Polymeric Liquids 1978 Pergamon Press New York
15. S. Slavtchev S. Miladinova P. Kalitzova-Kurteva Unsteady film flow of power law liquids on a rotating disk J. Non-Newtonian Fluid Mech. 66 1996 117-125
16. R.R. Gorla Rupture of thin power-law liquid film on cylinder J. Appl. Mech. 68 2001 294-297
17. B.S. Dandapat A. Mukhopadhyay Waves on a film of power-law fluid flowing down an inclined plate at moderate Reynolds number Fluid Dyn. Res. 29 2001 199-220
18. B.S. Dandapat A. Mukhopadhyay Waves on the surface of a falling power-law film J. Nonlin. Mech. 38 2003 21-38
19. A.S. Gupta Stability of a visco-elastic liquid film flowing down an inclined plane J. Fluid Mech. 28 1967 17-28
20. W. Lai Stability of elastico-viscous liquid film flowing down an inclined plane Phys. Fluids 10 1967 844-847
21. K.F. Liu C.C. Mei Slow spreading of a sheet of Bingham fluid on an inclined plane J. Fluid Mech. 207 1989 505-529
22. B.S. Dandapat A.S. Gupta Long waves on the surface of a visco-elastic fluid running down an inclined plane Rheol. Acta 36 1997 135-143
23. B.S. Dandapat A.S. Gupta Solitary waves on a layer of a visco-elastic fluid running down an inclined plane Rheol. Acta 17 1978 492-499
24. S. Miladinova Wave evolution of heated falling films: Numerical analysis using finite-difference method in:S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Proceedings of the Third International Conference, LSSC 2001, Sozopol, Bulgaria, June 6-10, 2001. Large-scale Scientific Computing, Revised Papers, Lecture Notes in Computer Science 2179, Springer, 2001, pp. 425-432
25. S.W. Joo S.H. Davis Instabilities of three-dimensional viscous falling films J. Fluid Mech. 242 1992 529-547
26. T.S. Salamon R.C. Armstrong R.A. Brown Traveling waves on vertical films: Numerical analysis using the finite element method Phys. Fluids 6 1994 2202-2220