Abstract
The stability analysis of Soret driven double diffusive convection for electrically conducting couple stress liquid is investigated theoretically. The couple stress liquid is confined between two horizontal surfaces and a constant vertical magnetic field is applied across the surfaces. Linear stability analysis is used to investigate the effect of various parameters on the onset of convection. Effect of magnetic field on the onset of convection is presented by means of Chandrasekhar number. The problem is analyzed as a function of Chandrasekhar number (Q), positive and negative Soret parameter (S r) and couple stress parameter (C), mainly. The results show that the Q, both positive and negative S r and C delay the onset of convection. The effect of other parameters is also discussed in paper and shown by graphs.
Highlights
Magneto-convection arises due the interaction of electrically conducting fluid flow and the applied magnetic field
The couple stress liquid is confined between two horizontal surfaces and a constant vertical magnetic field is applied across the surfaces
The stability of basic flow are governed by non-dimensional parameters: couple stress parameter (C), Chandrasekhar number (Q), Soret coefficient (S r), Lewis number (Le), Prandtl number (Pr), Solutal Rayleigh number (RS ), and magnetic Prandtl number (Pm)
Summary
Magneto-convection arises due the interaction of electrically conducting fluid flow and the applied magnetic field. Hurle and Jakeman [14] concluded from his experimental and theoretical work that in cross diffusion Dufour term is very small and may be neglected in comparison to Soret effect Due to this fact one may leave the Dufour term while study the flow in liquids. Porta and Surko [18] has been performed experimentally the study of convective instability in a fluid mixture heated from above with negative Soret coefficient According to their investigation, the linear analysis predicts that the instability occurs at zero wave-number, a large wavenumber pattern is observed. Malashetty et al [20] investigated double diffusive convection in a two-component couple stress liquid layer with Soret effect using both linear and non-linear stability analyses.
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