Stability analysis of double-diffusive convection in couple-stress Hall fluid

Pardeep Kumar

Authors

Pardeep Kumar Dept. Mathematics, ICDEOL, Himachal Pradesh University, Summer-Hill, Shimla (HP) India https://orcid.org/0000-0002-2731-9236

Keywords:

Convection, Couple-stress fluid, Hall currents, Porous medium, Uniform magnetic field

Abstract

The aim of the present work was to study the effects of uniform horizontal magnetic field and Hall currents on the double-diffusive convection in couple-stress fluid through permeable media. Following the linearized stability theory, Boussinesq approximation and normal mode analysis, the dispersion relation is obtained. The stationary convection, stability of the system and oscillatory modes are discussed. For the case of stationary convection, the stable solute gradient and magnetic field postpones the onset of convection while the Hall currents hasten the onset of convection. The medium permeability and couple-stress both postpone and hasten the onset of convection depending on the Hall parameter M. The stable solute gradient and the magnetic field (and corresponding Hall currents) are found to introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.

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