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Vaid, Kanu
- On Linear Growth Rates in Thermohaline Convection with Viscosity Variations
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Authors
Jyoti Prakash
1,
Kanu Vaid
1
Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN
Source
Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 140-143Abstract
In the present paper it is proved that the complex growth rate (where and are real and imaginary parts of p ) of an arbitrary oscillatory motions of growing amplitude, neutral or unstable, for thermohaline convection configuration of Veronis type (Veronis, G., J. Mar. Res., 23(1965)1), with the viscosity variations must lie inside a semicircle in the right half of the prpiplane whose centre is at the origin and radius equals . A similar theorem is also proved for thermohaline convection of Stern type (Stern, M.E., Tellus 12(1960)172). Furthermore the above results are uniformly valid for all combinations of rigid and free bounding surfaces. The results obtain herein, in particular, also yield sufficient conditions for the validity of the ‘principle of the exchange of the stabilities’ for the respective configurations.Keywords
Thermohaline Instability, Oscillatory Motions, Veronis Type, Stern Type, Variable Viscosity.
References
- Banerjee M. B., Katoch D. C., Dube G. S. and Banerjee K., Bounds for growth rate of a perturbation in thermohaline convection, Proc. Roy. Soc. London. A 387(1981)301.
- Banerjee M. B., Gupta J. R. and Shandil R.G., Generalized thermal convection with viscosity variations, J. Math. Phys. Sc. 11(5)(1977)421.
- Brandt A. and Fernando H. J. S., Double Diffusive Convection, Am. Geophys. Union, Washington, (1996).
- Lighthill M. J., Introduction to Boundary Layer Theory in Laminar Boundary Layers, (Ed.: L. Rosenhead), Clarendon Press, Oxford, (1963).
- Prakash J., A Mathematical theorem for thermohaline convection of the Veronis type with viscosity variations, Ind. J. Pure Appl.Math., 26(8)(1995)813.
- Schultz M. H., Spline Analysis, Prentice Hall Ince., Englewood Cliffs. N.J., (1973).
- Stern M. E., The salt fountain and thermohaline convection, Tellus 12 (1960)172.
- Torrance K.E., and. Turcotte D.L., Thermal convection with large viscosity variation, J. Fluid Mech, 47(1971)113.
- Turner J. S., Double diffusive phenomena, Ann. Rev. Fluid mech. 6(1974)37.
- Veronis G., On finite amplitude instability in thermohaline convection, J. Mar. Res., 23(1965)1.