Influence of viscous dissipation on Bénard convection

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 ampli...

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Bibliographic Details
Published in:Journal of fluid mechanics 1974-06, Vol.64 (2), p.369-374
Main Authors: Turcotte, D. L., Hsui, A. T., Torrance, K. E., Schubert, G.
Format: Article
Language:English
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112074002448