Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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On the Bounds for Oscillation in Thermohaline Convection Problems with Temperature-Dependent Viscosity



Address:   Joginder Singh Dhiman1, Poonam Sharma1 and Megh Raj Goyal2
1Department of Mathematics, Himachal Pradesh University, Summerhill, Shimla-171005 (H.P.) India.
2Department of Mathematics, D.A.V. College, Malout-152107, Punjab, India
*Corresponding Author:
DOI No: 10.5958/2321-581X.2015.00022.7

ABSTRACT:
The present paper extends the analysis of Gupta et al. (2001, J. Math. Anal. Appl., 264, 398) of Veronis and Stern type’s thermohaline convection problems for the case of temperature-dependent viscosity. The stability of the oscillatory motions for both types of problems with variable viscosity is discussed in this paper and the upper bounds for the growth rates for neutral or unstable oscillatory perturbations are also prescribed. The obtained results are uniformly valid for all combination of dynamically free and rigid boundaries and are free from a curious condition on the non-negativity of the second derivative of viscosity parameter. Further, various results for an initially top-heavy as well as an initially bottom heavy configurations follow as consequence.
KEYWORDS:
Thermohaline convection; oscillatory motions; complex growth rate; temperature-dependent viscosity; eigenvalue problem.
Cite:
Joginder Singh Dhiman, Poonam Sharma, Megh Raj Goyal. On the Bounds for Oscillation in Thermohaline Convection Problems with Temperature-Dependent Viscosity. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 149-154.
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