The Effects of Gravity and Surface Tension Gradients on Cellular Convection in Fluid Layers With Parabolic Temperature Profiles

[+] Author and Article Information
Walter R. Debler

University of Michigan, Ann Arbor, Mich.

Louis W. Wolf

University of Michigan, Dearborn Campus, Dearborn, Mich.

J. Heat Transfer 92(3), 351-358 (Aug 01, 1970) (8 pages) doi:10.1115/1.3449670 History: Received January 19, 1970; Online August 11, 2010


The effects of surface tension and buoyancy on the convection stability of fluid layers with a mean parabolic temperature distribution is examined. A variety of free-surface, thermal boundary conditions are used. Quantitative values for the effect on the critical Rayleigh number of the free-surface boundary condition, fluid depth, and physical properties are given. The role of the mean temperature profile is also discussed. The results should be of value in judging experiments where a free surface is used to enhance the flow visualization. The numerical procedure used to find the eigenvalues was effective and easily altered to obtain results for similar stability problems.

Copyright © 1970 by ASME
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