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Time-dependent density profiles in a filling box

Published online by Cambridge University Press:  20 April 2006

M. Grae Worster  and
Herbert E. Huppert
M. Grae Worster
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, England
Herbert E. Huppert
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, England
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Abstract

An approximate analytic expression for the time-dependent density profile formed by a turbulent buoyant plume in a confined region is presented. The analysis is based on the approximation that the density of the fluid behind the first front changes at a rate which is virtually independent of position. The approximate expression is shown to be in excellent agreement with a full numerical integration of the governing equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 132 , July 1983 , pp. 457 - 466
Copyright
© 1983 Cambridge University Press

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References

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