M. Choudhury - Department of Mathematics, N. N. S. College, Assam, ۷۸۵۶۳۰, India
G. C. Hazarika - Department of Mathematics, Dibrugarh University, Dibrugarh, Assam, ۷۸۶۰۰۴, India

The effects of variable viscosity and thermal conductivity on free convective oscillatory flow of a viscous incompressible and electrically conducting fluid past a vertical plate in slip flow regime with periodic plate temperature when suction velocity oscillates in time about a constant mean is discussed. The fluid viscosity and thermal conductivity are assumed to be inverse linear functions of temperature. The problem is governed by a coupled non-linear system of partial differential equations. Explicit finite difference method is employed to solve the equations. The effects of viscosity variation parameter, thermal conductivity variation parameter, magnetic parameter on the velocity distribution dna temperature distribution for Pr=۰.۷ fluid and for rarefaction parameter h=۰ and h=۰.۴ are discussed and shown graphically. Also the effects of these parameters on the skin friction coefficient and on the rate of heat transfer are calculated

MHD, Natural convection, variable viscosity, variable thermal conductivity