Computer Science
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jfm...139..461j&link_type=abstract
Journal of Fluid Mechanics (ISSN 0022-1120), vol. 139, Feb. 1984, p. 461-471.
Computer Science
28
Benard Cells, Conductive Heat Transfer, Fluid Boundaries, Interface Stability, Prandtl Number, Rayleigh-Benard Convection, Nonlinear Equations
Scientific paper
Three-dimensional finite-amplitude thermal convection in a fluid layer with boundaries of finite conductivity is considered. Busse and Riahi (1980) and Proctor (1981) showed that the preferred planform of convection in such a system is a square-cell tesselation provided that the boundaries are much poorer conductors than the fluid, in contrast to the roll solutions which are obtained for perfectly conducting boundaries. The conductivity of the boundaries at which the preferred planform changes from roll to square-cell type is determined. For low-Prandtl-number fluids (e.g., mercury), it is shown that square-cell solutions are realized only when the boundaries are almost insulating; while, for high-Prandtl-number fluids (e.g., silicone oils), square-cell solutions are stable when the boundaries have conductivity comparable to that of the fluid.
Jenkins D. R.
Proctor Michael R. E.
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