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. doi:10.1063/1.863198. https://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 | ||||||
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| 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 | ||||||
| Issue or Number: | 9 | ||||||
| DOI: | 10.1063/1.863198 | ||||||
| Record Number: | CaltechAUTHORS:CROpof80 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CROpof80 | ||||||
| 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: | 08 Nov 2021 20:39 |
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