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Convection driven by concentration- and temperature-dependent surface tension

Published online by Cambridge University Press:  20 April 2006

Carol L. McTaggart
Carol L. McTaggart
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland
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Abstract

This paper generalizes the linear stability analysis of Pearson for Marangoni instability to the case where surface tension depends on both temperature and solute concentration. The results are expressed in terms of a thermal Marangoni number BT and a solutal Marangoni number BS. It is found when BS > 0 the onset of instability has the form of stationary convection, while when BS < 0 there are circumstances in which the onset of instability is in the form of oscillatory convection.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 134 , September 1983 , pp. 301 - 310
Copyright
© 1983 Cambridge University Press

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References

Davis, S. H. 1969a J. Fluid Mech. 39, 347.
Davis, S. H. 1969b Proc. R. Soc. Lond. A, 310, 341.
Hurle, D. T. J. 1976 In Crystal Growth and Materials, p. 550 (ed. E. Kaldis & H. J. Scheel). North-Holland.
Hurle, D. T. J. & Jakeman, E. 1971 J. Fluid Mech. 47, 667.
Joseph, D. D. 1970 Arch. Rat. Mech. Anal. 36, 285.
Joseph, D. D. 1976 Stability of Fluid Motions II. Springer.
Joseph, D. D. & Shir, C. C. 1968 Arch. Rat. Mech. Anal. 30, 38.
Mcconaghy, G. A. & Finlayson, B. A. 1969 J. Fluid Mech. 39, 49.
Nield, D. A. 1967 J. Fluid Mech. 29, 545.
Pearson, J. R. A. 1958 J. Fluid Mech. 4, 489.
Rosenblat, S., Homsy, G. M. & Davis, S. H. 1982 J. Fluid Mech. 120, 123.
Schwartz, A. M. & Perry, J. W. 1966 Surface Active Agents. Interscience.
Vidal, A. & Acrivos, A. 1966 Phys. Fluids 9, 615.
WEAST, R. D. (ed.) 1982 Handbook of Chemistry and Physics. CRC Press.