Ingersoll, Andrew P. (1966) Convective Instabilities in Plane Couette Flow. Physics of Fluids, 9 (4). pp. 682-689. ISSN 1070-6631. doi:10.1063/1.1761733. https://resolver.caltech.edu/CaltechAUTHORS:20121211-143845536
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Abstract
The stability to infinitesimal disturbances of plane Couette flow is considered in the presence of a negative vertical temperature gradient. The fluid is contained between horizontal planes which are maintained at different temperatures. The flow becomes unstable at the critical Rayleigh number for convection without shear. Below this critical Rayleigh number, the flow is stable in the limit of large and small Reynolds numbers. Numerical solutions at finite Reynolds numbers are given for stationary and traveling disturbances at Prandtl numbers equal to ten and infinity. For these cases, the flow appears stable at subcritical Rayleigh numbers, for all Reynolds numbers.
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| Additional Information: | © 1966 American Institute of Physics. Received 8 December 1965. Part of this work was included in a doctoral thesis submitted to the department of physics at Harvard University. Professor Richard Goody provided essential guidance during the period of this research, and his help is gratefully acknowledged. Financial support was provided by the National Science Foundation, under Grant G 24903 awarded to Harvard University. | |||||||||
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| Issue or Number: | 4 | |||||||||
| DOI: | 10.1063/1.1761733 | |||||||||
| Record Number: | CaltechAUTHORS:20121211-143845536 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20121211-143845536 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 35920 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 12 Dec 2012 22:26 | |||||||||
| Last Modified: | 09 Nov 2021 23:18 |
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