Nonlinear Marangoni waves in multilayer systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 5, 1998, Pages 5765-5775

  Kliakhandler, Igor L ^a   Nepomnyashchy, Alexander A ^b   Simanovskii, Ilya B ^b   Zaks, Michael A ^c  

^a TEL AVIV UNIVERSITY   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BUOYANCY; COMPUTER SIMULATION; DENSITY OF LIQUIDS; EIGENVALUES AND EIGENFUNCTIONS; HEAT CONVECTION; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SURFACE TENSION; THERMAL CONDUCTIVITY OF LIQUIDS; THERMAL DIFFUSION IN LIQUIDS; VISCOSITY OF LIQUIDS;

DYNAMIC VISCOSITY; KINEMATIC VISCOSITY; MARANGONI NUMBER; MARANGONI WAVES; THERMOCAPILLARY CONVECTION; THERMOCAPILLARY EFFECT;

INTERFACES (MATERIALS);

EID: 0032209204     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.5765     Document Type: Article

References (26)

1. J. R. A. Pearson, J. Fluid Mech. 4, 489 (1958).
2. J. W. Scanlon and L. A. Segel, J. Fluid Mech. 30, 149 (1967).
3. Y. Pomeau, Physica D 23, 3 (1986).
4. K. A. Smith, J. Fluid Mech. 24, 401 (1966).
5. M. Takashima, J. Phys. Soc. Jpn. 50, 2745 (1981).
6. S. J. VanHook, M. F. Schatz, W. D. McCormick, J. B. Swift, and H. L. Swinney, Phys. Rev. Lett. 75, 4397 (1995).
7. S. J. VanHook, M. F. Schatz, J. B. Swift, W. D. McCormick, and H. L. Swinney, J. Fluid Mech. 345, 45 (1997).
8. S. Krishnamoorthy, B. Ramaswamy, and S. W. Joo, Phys. Fluids 7, 2291 (1995).
9. S. H. Davis, in Waves on Fluid Interfaces, edited by R.E. Meyer (Academic, New York, 1983), p. 291.
10. S. H. Davis, Annu. Rev. Fluid Mech. 19, 403 (1987).
11. T. Funada, J. Phys. Soc. Jpn. 56, 2031 (1987).
12. A. A. Nepomnyashchy and I. B. Simanovskii, Prikl. Mat. Mekh. 54, 593 (1990) [J. Appl. Math. Mech.54, 490 (1990)].
13. T. Funada, J. Phys. Soc. Jpn. 55, 2191 (1986).
14. S. Wahal and A. Bose, Phys. Fluids 31, 3502 (1988).
15. Q. S. Liu and B. Roux, Proceedings VIII European Symposium on Materials and Fluid Sciences in Microgravity (Ref. 18), pp. 735-740.
16. Ph. Georis, M. Hennenberg, I. B. Simanovskii, A. A. Nepomnyashchy, I. I. Wertgeim, and J.-C. Legros, Phys. Fluids A 5, 1575 (1993).
17. A. Oron, R. J. Deissler, and J. C. Duh, Eur. J. Mech. B/Fluids 14, 737 (1995).
18. A. A. Nepomnyashchy and I. B. Simanovskii, Q. J. Mech. Appl. Math. 50, 149 (1997).
19. V. Kats-Demyanets, A. Oron, and A. Nepomnyashchy, Eur. J. Mech. B/Fluids 16, 49 (1997).
20. C. C. Chen and C. J. Lee, J. Membr. Sci. 20, 1 (1984).
21. H. Groothuis and F. G. Zuiderweg, Chem. Eng. Sci. 12, 288 (1960).
22. G. I. Sivashinsky, Physica D 8, 243 (1983).
23. J. S. Langer, Rev. Mod. Phys. 52, 1 (1980).
24. K. Kawasaki and T. Ohta, Physica A 116, 573 (1982).
25. L. M. Pismen, Phys. Rev. A 38, 2564 (1988).
26. B. Van der Pol, Philos. Mag. 2, 978 (1926).