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The effect of a non-linear basic temperature profile on the forced flow of a viscous liquid non-uniformly heated from below

Published online by Cambridge University Press:  28 March 2006

P. van den Driessche
P. van den Driessche*
Affiliation:
University College of Wales, Aberystwyth
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Extract

The forced motion of a liquid heated non-uniformly from below and subject to a non-constant basic temperature profile is examined. The problem is formulated as a two-point boundary-value problem which is solved by a numerical method. In agreement with previous work, the presence of a positive vertical lapse rate of basic temperature tends to decrease the forced motion. It is found that constant heat generation within the fluid produces a parabolic basic temperature profile, and this tends to increase the forced velocity components.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 2 , October 1965 , pp. 385 - 397
Copyright
Copyright © Cambridge University Press 1965

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Footnotes

†

Present address: Department of Mathematics, University of Victoria, Victoria, British Columbia, Canada.

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