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Thermocapillary convection and existence of continuous liquid layers in the absence of gravity

Published online by Cambridge University Press:  26 April 2006

J. M. Floryan  and
C. Chen
J. M. Floryan
Affiliation:
Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, N6A 5B9, Canada
C. Chen
Affiliation:
Department of Mechanical Engineering, The University of Western Ontario, London, Ontario, N6A 5B9, Canada
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Abstract

Thermocapillary convection in an infinite liquid layer driven by a temperature gradient parallel to the interface in the absence of gravity is considered. It is demonstrated that the temperature field has to satisfy restrictive conditions in order for a continuous layer to exist. It is further shown that the same conditions apply to long finite layers. Such layers, when subject to heating that does not satisfy the existence conditions, undergo large deformations and possible break up if the layer is sufficiently long.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 277 , 25 October 1994 , pp. 303 - 329
Copyright
© 1994 Cambridge University Press

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References

Adler, J. & Sowerby, L. 1970 J. Fluid Mech. 42, 549.
Birikh, R. V. 1966 J. Appl. Mech. Tech. Phys. 3, 69.
Carpenter, B. & Homsy, G. M. 1985 J. Fluid Mech. 155, 429.
Carpenter, B. M. & Homsy, G. M. 1990 Phys. Fluids (A) 2, 137.
Chen, C. & Floryan, J. M. 1994 J. Comput. Phys. 111, 183–193.
Cowley, S. J. & Davis, S. H. 1983 J. Fluid Mech. 135, 175.
Floryan, J. M. & Krol, S. 1991 Adv. Space Res. 11 (7), 125.
Hadid, H. B. & Roux, B. 1990 J. Fluid Mech. 221, 77.
Hadid, H. B. & Roux, B. 1992 J. Fluid Mech. 235, 1.
Homsy, B. G. & Meiburg, E. 1984 J. Fluid Mech. 139, 443.
Kopbosynov, B. K. & Pukhnachev, V. V. 1986 Fluid Mech. - Sov. Res. 15, 95.
Lai, C. L. & Chai, A. T. 1986 Acta Astronautica 13, 655.
Laure, P., Roux, B. & Hadid, H. B. 1990 Phys. Fluids A 2, 516.
Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.
Pimputkar, S. M. & Ostrach, S. 1980 Phys. Fluids 23, 1281.
Pshenichnikov, A. F. & Tokmenina, G. A. 1983 Izv. Akad. Nauk. SSSR Mekh. Zhid. Gaza 3, 150.
Rivas, D. 1991 Phys. Fluids A 3, 280.
Rivas, D. & Ostrach, S. 1989 Physico Chem. Hydrodyn. 11, 765.
Rybicki, A. & Floryan, J. M. 1987 Phys. Fluids 30, 1956.
Sanochkin, Yu. V. 1983 Zh. Prikl. Mekh. Tekh. Fiz. 6, 134.
Sanochkin, Yu. V. 1984 Izv. Akad. Nauk. SSSR Mekh. Zhid. Gaza 6, 146.
Sen, A. K. 1986 Phys. Fluids 29, 3881.
Sen, A. K. & Davis, S. H. 1982 J. Fluid Mech. 121, 163.
Tan, M. J., Bankoff, S. G. & Davis, S. H. 1990 Phys. Fluids A 2, 313.
Vybornov, S. I. & Sanochkin, Yu. V. 1985 Izv. Akad. Nauk. SSSR. Mekh. Zhid. Gaza 1, 176.
Yih, C. S. 1968 Phys. Fluids 11, 477.
Zebib, A., Homsy, G. M. & Meiburg, E. 1985 Phys. Fluids 28, 3467.