THERMOCAPILLARY-DRIVEN FLOW PAST THE MARANGONI INSTABILITY

Abstract

A top pee liquid layer is heated from the bottom in a two-dimensional rectangular container with insulated side walls. The resulting thermacapiUary motion is predicted by the projection method involving a Godunov-type discretization for convective terms. The velocity and temperature fields beyond those predictable via infinitesimal theories are discussed in terms of the Marangoni number, Prandtl number, Biot number, and aspect ratio.

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Notes on contributors

V. S. Arpaci

Address correspondence lo V. S. Arpaci, Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 2250 G. G. Brown, Ann Arbor, Mi 48109-2125, USA