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Boundary conditions on the envelope function of convective rolls close to onset

Cross, M. C. (1982) Boundary conditions on the envelope function of convective rolls close to onset. Physics of Fluids, 25 (6). pp. 936-941. ISSN 0031-9171. https://resolver.caltech.edu/CaltechAUTHORS:CROpof82

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Abstract

Boundary conditions are derived for the envelope function of convective rolls approaching a rigid sidewall at an arbitrary orientation. This generalizes previous results for parallel and perpendicular rolls. It provides the first step in a study of the convective pattern to be expected close to onset in Rayleigh–Benard cells of any cross section, and allows consideration of more complicated patterns in rectangular or circular cross sections.


Item Type:Article
Additional Information:© 1982 American Institute of Physics. Received 24 August 1981; accepted 12 March 1982.
Issue or Number:6
Record Number:CaltechAUTHORS:CROpof82
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CROpof82
Alternative URL:http://dx.doi.org/10.1063/1.863835
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10059
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Apr 2008
Last Modified:03 Oct 2019 00:06

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