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Steady thermocapillary convection in two immiscible liquid layers with curved free surface

Rao, AR and Biswal, PC (1995) Steady thermocapillary convection in two immiscible liquid layers with curved free surface. In: Microgravity Science and Technology, 8 (2). pp. 77-87.

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Steady thermocapillary convection is investigated in a system of two superposed layers of immiscible liquids with a curved free surface and a left liquid-liquid interface in a configuration similar to that of an encapsulated crystal growth. The layers are bounded on the sides by isothermal vertical walls maintained at different constant temperatures. An analytical solution is obtained for infinite layers under lubrication approximation. There exist four different flow regimes under zero gravity condition depending on values of λ, the ratio of the temperature coefficient of the interfacial tension to that of the surface tension. The solutions for the flow, temperature and the free surface are determined by an asymptotic theory for small aspect ratio A and for both fixed lines and fixed angles at the contact between the free surface and side walls. In general, the free surface is not flat and the conditions under which the free surface becomes flat are presented. It is observed that the strength of the vortices near the walls, the free surface height and bending of the isotherms are closely connected and depend on the value of λ.

Item Type: Journal Article
Publication: Microgravity Science and Technology
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 29 Nov 2006
Last Modified: 27 Aug 2008 12:22
URI: http://eprints.iisc.ac.in/id/eprint/8593

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