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Three-dimensional convection in a cubic box of fluid-saturated porous material

Published online by Cambridge University Press:  19 April 2006

Joe M. Straus  and
Gerald Schubert
Joe M. Straus
Affiliation:
Space Sciences Laboratory, The Ivan A. Getting Laboratories, The Aerospace Corporation, Los Angeles, California 90009
Gerald Schubert
Affiliation:
Space Sciences Laboratory, The Ivan A. Getting Laboratories, The Aerospace Corporation, Los Angeles, California 90009 Permanent address: Department of Earth and Space Sciences, University of California, Los Angeles, California 90024.
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Abstract

Calculations of finite amplitude convection in cubic boxes containing fluid-saturated porous material are reported for Rayleigh numbers R as large as 150. Steady two- or three-dimensional convection can always be forced by appropriate choice of initial conditions. Randomly chosen initial conditions will result in either two- or three-dimensional convection. Although there is a non-uniqueness associated with initial conditions which makes possible either two- or three-dimensional convection, the non-uniqueness is limited in the sense that only one two-dimensional or one three-dimensional solution appears to be realizable. Two-dimensional flows have larger Nusselt numbers than three-dimensional flows for R [lsim ] 97; the opposite is true for R [gsim ] 97.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 91 , Issue 1 , 9 March 1979 , pp. 155 - 165
Copyright
© 1979 Cambridge University Press

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