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Effects of viscous dissipation in natural convection

Published online by Cambridge University Press:  28 March 2006

B. Gebhart
B. Gebhart
Affiliation:
Sibley School of Mechanical Engineering, Cornell University, Ithaca, New York
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Abstract

The effect of viscous dissipation in natural convection is appreciable when the induced kinetic energy becomes appreciable compared to the amount of heat transferred. This occurs when either the equivalent body force is large or when the convection region is extensive. Viscous dissipation is considered here for vertical surfaces subject to both isothermal and uniform-flux surface conditions. A perturbation method is used and the first temperature perturbation function is calculated for Prandtl numbers from 10−2 to 104. The magnitude of the effect depends upon a dissipation number, which is not expressible in terms of the Grashof or the Prandtl number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 2 , October 1962 , pp. 225 - 232
Copyright
© 1962 Cambridge University Press

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