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Influence of viscous dissipation on Bénard convection

Published online by Cambridge University Press:  29 March 2006

D. L. Turcotte ,
A. T. Hsui ,
K. E. Torrance  and
G. Schubert
D. L. Turcotte
Affiliation:
Department of Geological Sciences, Cornell University, Ithaca, New York 14850
A. T. Hsui
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14850
K. E. Torrance
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14850
G. Schubert
Affiliation:
Department of Planetary and Space Sciences, University of California, Los Angeles 90024
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Abstract

The approximations implicit in Bénard convection have been modified to include viscous dissipation. It is shown that both the influence of an adiabatic temperature gradient and of viscous dissipation are governed by the same dimensionless parameter Di = αgh/cp. Numerical calculations of finite amplitude convection are given for finite values of Di. It is found that increasing Di decreases flow velocities and finally stabilizes the flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 2 , 19 June 1974 , pp. 369 - 374
Copyright
© 1974 Cambridge University Press

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References

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