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Derivation of the amplitude equation at the Rayleigh–Bènard instability

Cross, M. C. (1980) Derivation of the amplitude equation at the Rayleigh–Bènard instability. Physics of Fluids, 23 (9). pp. 1727-1731. ISSN 0031-9171. http://resolver.caltech.edu/CaltechAUTHORS:CROpof80

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Abstract

The full amplitude equation (as introduced by Newell and Whitehead and Segel) is derived directly from the hydrodynamic equations for both "free" and "rigid" upper and lower boundaries. The coefficients involved, including the interaction parameter of nonparallel rolls, are explicitly calculated for both boundary conditions and all Prandtl numbers.


Item Type:Article
Additional Information:Copyright © 1980 American Institute of Physics. Received 25 January 1980; accepted 13 June 1980.
Subject Keywords:FLUID MECHANICS; HYDRODYNAMICS; EQUATIONS OF MOTION; BOUNDARY CONDITIONS; INSTABILITY; CONVECTION; PRANDTL NUMBER; ORDER PARAMETERS; NUSSELT NUMBER; EIGENVALUES
Record Number:CaltechAUTHORS:CROpof80
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CROpof80
Alternative URL:http://dx.doi.org/10.1063/1.863198
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7105
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Jan 2007
Last Modified:26 Dec 2012 09:29

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