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Thermal instability of Couette flow

Published online by Cambridge University Press:  09 April 2009

S. C. Agrawal  and
J. C. Saini
S. C. Agrawal
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Meerut University, Meerut, India, 2500001
J. C. Saini
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Meerut University, Meerut, India, 2500001
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Summary

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The present paper investigates the thermal instability of a non-homogeneous fluid rotating between two co-axial cylinders when the inner cylinder is being heated uniformly. The conditions are established under which the oscillatory and non-oscillatory modes exist and further it has been shown that the oscillatory modes are amplified due to the adverse temperature gradient. In the case of non-oscillatory modes, sufficient conditions for stability and instability are obtained.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 18 , Issue 3 , November 1974 , pp. 359 - 371
Copyright
Copyright © Australian Mathematical Society 1974

References

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