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Convective Instabilities in Plane Couette Flow

Ingersoll, Andrew P. (1966) Convective Instabilities in Plane Couette Flow. Physics of Fluids, 9 (4). pp. 682-689. ISSN 1070-6631. 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.1761733 DOIArticle
http://pof.aip.org/resource/1/pfldas/v9/i4/p682_s1PublisherArticle
ORCID:
AuthorORCID
Ingersoll, Andrew P.0000-0002-2035-9198
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.
Funders:
Funding AgencyGrant Number
NSFG 24903
Issue or Number:4
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:03 Oct 2019 04:33

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