High Marangoni number convection in a square cavity

Steady thermocapillary flows in a square cavity are computed using a finite difference procedure. Accurate numerical solutions are obtained for as high a Reynolds number as possible, in order to characterize the nature of strongly convective flows of this general class. Only the case of capillary nu...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1985-12, Vol.28 (12), p.3467-3476
Main Authors: Zebib, A., Homsy, G. M., Meiburg, E.
Format: Article
Language:English
Subjects:
Fluid Mechanics And Heat Transfer
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Summary:Steady thermocapillary flows in a square cavity are computed using a finite difference procedure. Accurate numerical solutions are obtained for as high a Reynolds number as possible, in order to characterize the nature of strongly convective flows of this general class. Only the case of capillary number going to zero is considered, so that the free surface is assumed flat at the leading order. Surface deflections are computed by domain perturbation. Boundary layer formation at different values of the Prandtl number is observed at large values of the Marangoni number and Re. The numerical results are used to infer the relevant scalings of a consistent boundary layer picture of the flow, valid asymptotically as Re goes to infinity.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.865300