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Bounds for the growth of a perturbation in some double-diffusive convection problems

Published online by Cambridge University Press:  17 February 2009

J. R. Gupta ,
S. K. Sood ,
R. G. Shandil ,
M. B. Banerjee  and
K. Banerjee
J. R. Gupta
Affiliation:
Department of Mathematics, Himachal Pradesh University, Simla-171005, India.
S. K. Sood
Affiliation:
Department of Mathematics, Himachal Pradesh University, Simla-171005, India.
R. G. Shandil
Affiliation:
Department of Mathematics, Himachal Pradesh University, Simla-171005, India.
M. B. Banerjee
Affiliation:
Department of Mathematics, Himachal Pradesh University, Simla-171005, India.
K. Banerjee
Affiliation:
Department of Physics, Indian Institute of Technology, Kanpur-208016, India.
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Abstract

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Bounds are presented for the modulus of the complex growth rate p of an arbitrary oscillatory perturbation, neutral or unstable, in some double-diffusive problems of relevance in oceanography, astrophysics and non-Newtonian fluid mechanics.

Type
Research Article
Information
The ANZIAM Journal , Volume 25 , Issue 2 , October 1983 , pp. 276 - 285
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Baneijee, M. B., Katoch, D. C., Dube, G. S. and Banerjee, K., “Bounds for growth rate of perturbation in thermohaline convection”, Proc. Roy. Soc. London Ser. A 378 (1981), 301–304.Google Scholar
[2]Huppert, H. E. and Turner, J. S., “Double-diffusive convection”, J. Fluid Mech. 106 (1981), 299–329.CrossRefGoogle Scholar
[3]Stern, M. E., “The ‘salt-fountain’ and thermohaline convection”, Tellus 12 (1960), 172–175.CrossRefGoogle Scholar
[4]Veronis, G., “On finite amplitude instability in thermohaline convection”, J. Mar. Res. 23 (1965), 1–17.Google Scholar