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Asymptotic expansions for laminar forced-convection heat and mass transfer

Published online by Cambridge University Press:  28 March 2006

Andreas Acrivos  and
J. D. Goddard
Andreas Acrivos
Affiliation:
Department of Chemical Engineering, University of California, Berkeley, California
J. D. Goddard
Affiliation:
Department of Chemical Engineering, University of California, Berkeley, California
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Extract

A method is presented in this article for deriving higher-order correction terms to the well-known asymptotic results for laminar forced-convection heat and mass transfer, and a formula is obtained for computing under fairly general conditions the first correction term to the asymptotic Nusselt number at large Péclet numbers for flows with small or moderate Reynolds numbers. This result is then applied to the problem of heat transfer from a solid, isothermal sphere in Stokes flow, to yield the asymptotic expression for the average Nusselt number,

for Pe→ ∞, Re→ 0, where and Pe are based on the radius of the sphere.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 2 , October 1965 , pp. 273 - 291
Copyright
Copyright © Cambridge University Press 1965

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Footnotes

†

Now at the Department of Chemical Engineering, Stanford University, Stanford, California.

‡

Now at the Department of Chemical and Metallurgical Engineering, University of Michigan, Ann Arbor, Michigan.

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