Effects of soret and dufour on MHD casson fluid flow through porous medium past an exponentially accelerated inclined cylinder with variable oscillating wall temperature

Abstract

The present study is carried out to examine the combined effects of Soret, Dufour and porosity of the medium on unsteady flow of a viscous, incompressible and electrically conducting Cassonfluid past through cylinder in the presence of transversely applied uniform magnetic field. The fluid flow generated through an exponentially accelerated cylinder. In the Fluid model, the medium of the fluid flow has been taken porous and the geometry of cylinder is inclined at an angle  from vertical plane. The temperature of the fluid near the surface of cylinder is oscillating increase and concentration level near the surface increase linearly with time. The non-dimensional governing equations have been solved numerically by using Crank-Nicolson implicit finite difference method and also discussed the stability of the solution. The velocity profile is discussed with the help of graphs drawn for different parameters and the solution of the MHD flow model is unconditionally stable. Therefore, the scheme is compatible. Stability and compatibility ensures convergence. The values obtained for velocity, concentration and temperature are in concurrence with the actual flow of the fluid. We found that the velocity of Cassonfluid increases when the values of permeability parameter, accelerationparameter Soret, Dufour and Grashof numbers are increased. But trend is reversed with inclination of the surface, angular frequency, Magnetic field and chemical reaction parameter.