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Effect of Distant Sidewalls on Wave-Number Selection in Rayleigh-Bénard Convection

Cross, M. C. and Daniels, P. G. and Hohenberg, P. C. and Siggia, E. D. (1980) Effect of Distant Sidewalls on Wave-Number Selection in Rayleigh-Bénard Convection. Physical Review Letters, 45 (11). pp. 898-901. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:CROprl80

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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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:CROprl80
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CROprl80
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.45.898
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2665
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Apr 2006
Last Modified:26 Dec 2012 08:50

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