Volume No. :   3

Issue No. :  2

Year :  2012

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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On the stability analysis of a generalized double diffusive convection problem



Address:   Joginder Singh Dhiman1* and Deepak Gupta2
1Department of Mathematics, Himachal Pradesh University, Summerhill, Shimla (H.P.)-171005.
2Govt. Post Graduate College, Solan, Distt. Solan (H.P.)-173212.
*Corresponding Author
DOI No:

ABSTRACT:
The present paper deals with the construction of a generalized setup of eigenvalue problem from the perturbations equations governing Modified Thermohaline convection (derived by Banerjee et al. [1993]) by an appropriate choice of parameters of the fluid. This generalized setup of eigenvalue problem named as; generalized double-diffusive convection problem yields eigenvalue problems for Stern type double-diffusive convection problem and for Dufour-Driven double-diffusive convection problem as a consequence. The stability investigations of this general problem are carried in this paper and some general results concerning the stability or otherwise are derived for the case of both dynamically free boundaries and various consequences of the derived results are also discussed.
KEYWORDS:
Modified Thermohaline convection; Stern type convection; Dufour-Driven convection; eigenvalue problem.
Cite:
Joginder Singh Dhiman, Deepak Gupta. On the stability analysis of a generalized double diffusive convection problem. Research J. Engineering and Tech. 3(2): April-June 2012 page191-195.
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