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Numerical experiments with free convection in a vertical slot

Published online by Cambridge University Press:  28 March 2006

J. W. Elder
J. W. Elder
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, San Diego
Now at Department of Applied Mathematics & Theoretical Physics, Cambridge.
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Abstract

Numerical solutions of the equations of steady free convection in a vertical slot have been obtained by a procedure which relies solely on an iterative solution of Poisson's equation. With a mesh spacing of $\frac{1}{40}$ the solutions are stable up to a Rayleigh number of order 105. The numerical experiments are comparable to the author's laboratory experiments (Elder 1965) and to the experiments of Eckert & Carlson (1961). The growth of the boundary layers and the uniform vertical temperature gradient are well described. It is tentatively suggested that certain unstable motions found prior to the divergence of the numerical solution are comparable to the secondary flows found by the author.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 4 , April 1966 , pp. 823 - 843
Copyright
© 1966 Cambridge University Press

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References

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