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Thermal convection with shear at high Rayleigh number

Ingersoll, Andrew P. (1966) Thermal convection with shear at high Rayleigh number. Journal of Fluid Mechanics, 25 (2). pp. 209-228. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:20130123-082855453

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Abstract

A fluid is contained between rigid horizontal planes which move relative to each other with constant horizontal velocity. A gravitationally unstable temperature difference is maintained at the boundaries, and the heat flux and momentum flux (stress) transmitted by the fluid are measured. The Nusselt number, Nu, and the dimensionless momentum flux, Mo, are obtained for small mean rates of shear. The Rayleigh number, R, and the Prandtl number, σ, are both large in these experiments. The data are consistent with the following relations: Nu∝Moσ^(1/)2∝R^(1/3). Kraichnan's mixing-length theory of turbulent thermal convection is extended to the present situation, and the above experimental dependence of Nu and Mo on R and σ is obtained. The agreement between mixing-length theory and experiment provides strong support for Kraichnan's concise treatment of turbulent convection. The importance of this result is that heat and momentum fluxes may be calculated in this way for a variety of flows in geophysics.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1017/S0022112066001617 DOIArticle
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=381218PublisherArticle
ORCID:
AuthorORCID
Ingersoll, Andrew P.0000-0002-2035-9198
Additional Information:© 1966 Cambridge University Press. This work formed part of a doctoral dissertation submitted to the Department of Physics at Harvard University. I should like to thank Prof. Richard Goody for providing essential guidance during the period of this research. The financial support of the National Science Foundation (Grant G 24903) is gratefully acknowledged.
Funders:
Funding AgencyGrant Number
NSFG 24903
Issue or Number:2
Record Number:CaltechAUTHORS:20130123-082855453
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130123-082855453
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36522
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Jan 2013 19:34
Last Modified:03 Oct 2019 04:38

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