Published September 15, 1980
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Effect of Distant Sidewalls on Wave-Number Selection in Rayleigh-Bénard Convection
Abstract
An analysis is presented of the steady states of two-dimensional convection in a laterally finite rectangular container near threshold. It is shown that the presence of sidewalls severely restricts the allowed wave vectors which can occur in the bulk of the container. This effect provides a possible mechanism to explain the observed wavelength increase of convective rolls with increasing Rayleigh numbers.
Additional Information
©1980 The American Physical Society Received 10 July 1980 The authors wish to acknowledge the hospitality of the Aspen Center for Physics, where this work was begun. One of us (P.G.D.) also thanks Bell Laboratories for hospitality. This research was partially suppored by the National Science Foundation under Grant No. DMR-77-18329.Files
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