Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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On Uniform Magneto- Rotatory Double-Diffusive Convection in Compressible Couple-Stress Fluid



Address:   Chander Bhan Mehta1*, Daleep K. Sharma2 and Sanjeev Gangta3
1Department of Mathematics, Govt Excellence Degree College Sanjauli, Shimla (H.P)-171207, India.
2Department of Mathematics, Rajiv Gandhi Govt. College Shimla-4 (H.P), India.
3Department of Mathematics, GSSS(G) Port More, Shimla-1 (H.P), India
*Corresponding Author
DOI No:

ABSTRACT:
The effect of uniform vertical magnetic field and uniform vertical rotation on double-diffusive convection in a layer of an electrically conducting couple-stress fluid heated and soluted from below is considered. For the case of stationary convection, it is clear that stable solute gradient, compressibility, rotation and magnetic field postpone the onset of the convection in compressible couple-stress fluid heated from below in the presence of a magnetic field. Couple-stress parameter has duel character in presence of rotation. While in absence of rotation Couple-Stress parameter has postpones the onset of convection only. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. Further, the solute gradient, magnetic field, rotation is found to introduce oscillatory modes in the systems that were non-existent in their absence. The sufficient conditions for the non-existence of overstability have found, the violation of which does not necessarily imply the occurrence of overstability.
KEYWORDS:
Double-Diffusive Convection, Couple-Stress Fluid, Uniform Vertical Magnetic Field and Rotation. Mathematical Classification (AMSC2010): 76A05, 76A10, 80A20, 76E06, 76E15, 76E19, 76N20.
Cite:
Chander Bhan Mehta, Daleep K. Sharma, Sanjeev GangtaOn Uniform Magneto- Rotatory Double-Diffusive Convection in Compressible Couple-Stress Fluid. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 155-163.
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