Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-16T18:00:03.595Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

[1]Agrawal, G. S., ‘Hydromagnetic stability of spiral flows’, J. Phys. Soc. Japan 26 (1969), 1519–1525.CrossRefGoogle Scholar
[2]Agrawal, G. S., Ph. D. Thesis, Submitted to I. I. T., Kanpur. (1970).Google Scholar
[3]Banerjee, M. B., ‘Thermal instability of non-homeogeneous fluids’, Indian Journal of Pure and Applied Mathematics 2 (1971), 257–269.Google Scholar
[4]DiPrima, R. C., ‘Stability of non-rotationally symmetric disturbances for viscous flows between rotating cylinders’, Phys. Fluids 5 (1961), 751–755.Google Scholar
[5]Howard, L. N., and Gupta, A. S., ‘On the hydrodynamic and hydromagnetic stability of swirling flows’, J. Fluid Mech. 14 (1962), 463–476.Google Scholar
[6]Krueger, E. R., and DiPrima, R. C., ‘Stability of non-rotationally symmetric disturbances for inviscid flow between rotating cylinders’, Phys. Fluids 5 (1962), 1362–1367.Google Scholar
[7]Rudraiah, Nonjundappa, ‘Stability of a heterogeneous conducting fluid with a radial gravitational force’, Publ. Astr. Soc. Japan 22 (1970), 41–55.Google Scholar