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
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.
Double-Diffusive Convection, Couple-Stress Fluid, Uniform Vertical Magnetic Field and Rotation
