Soret-driven double diffusive magneto-convection in couple stress liquid
1 Department of Mathematics, Faculty of Science Banaras Hindu University, Varanasi –221005, India
2 Department of Applied Mathematics and Statistics, School for Physical Sciences, Baba saheb Bhimrao Ambedkar University, Lucknow 226025, India
3 Department of Mathematics, Indian Institute of Thechnology Roorkee, Roorkee India
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 Sr and C delay the onset of convection. The effect of other parameters is also discussed in paper and shown by graphs.
© Owned by the authors, published by EDP Sciences, 2012