Volume No. :   3

Issue No. :  2

Year :  2012

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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On -Law in Magnetoconvection Problem for General Nature of Boundaries Using Galerkin Method



Address:   Joginder Singh Dhiman1* and Vijay Kumar2
1Department of Mathematics, Himachal Pradesh University, Summerhill, Shimla (H.P.)-171005.
2Centre of Excellence, Govt. College, Sanjauli, Shimla (H.P.)-171006.
*Corresponding Author
DOI No:

ABSTRACT:
Chandrasekhar proved his famous -law of stationary convection in magnetoconvection problem for the case of both dynamically free boundaries. For the other two cases of boundary conditions, namely; both rigid boundaries and combinations of rigid and dynamically free boundaries he, on the basis of numerical computations, conjectured that the same law must hold true. In the present paper, we have reinvestigated the onset of thermal instability in an electrically conducting fluid layer heated from below in the presence of a uniform magnetic field. In the present analysis the validity of -law for general nature of bounding surfaces is proved using the Galerkin technique. The obtained results are in good agreement with the numerical results of Chandrasekhar and thus validate his claim.
KEYWORDS:
On -Law in Magnetoconvection Problem for General Nature of Boundaries Using Galerkin Method
Cite:
Joginder Singh Dhiman, Vijay Kumar. On -Law in Magnetoconvection Problem for General Nature of Boundaries Using Galerkin Method. Research J. Engineering and Tech. 3(2): April-June 2012 page186-190.
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