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Stability analysis of two-dimensional models of three-dimensional convection

Greenside, H. S. and Cross, M. C. (1985) Stability analysis of two-dimensional models of three-dimensional convection. Physical Review A, 31 (4). pp. 2492-2501. ISSN 0556-2791.

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Analytical and numerical methods are used to study the linear stability of spatially periodic solutions for various two-dimensional equations which model thermal convection in fluids. This analysis suggests new model equations that will be useful for investigating questions such as wave-number selection, pattern formation, and the onset of turbulence in large-aspect-ratio Rayleigh-Bénard systems. In particular, we construct a nonrelaxational model that has stability boundaries similar to those calculated for intermediate Prandtl-number fluids.

Item Type:Article
Additional Information:©1985 The American Physical Society Received 29 October 1984
Record Number:CaltechAUTHORS:GREpra85
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ID Code:5978
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Deposited On:10 Nov 2006
Last Modified:26 Dec 2012 09:16

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