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Soret and Dufour effects on the unsteady flow of a viscous incompressible dusty fluid past an exponentially accelerated vertical plate with viscous dissipation have been considered in the presence of heat source and magnetic field. The viscosity and thermal conductivity of the fluid are assumed to be varying with respect to temperature. Saffman model of dusty fluid is considered for the investigation. The non-linear partial differential equations with prescribed boundary conditions governing the flow are discretized using Crank-Nicolson formula and the resulting finite difference equations are solved by an iterative scheme based on the Gauss-Seidel method by developing computer codes for MATLAB software. Numerical results are obtained for different values of the viscosity variation parameter, thermal conductivity variation parameter, Soret number, Dufour number and magnetic parameter. The overall investigation of variation of velocity, temperature, and species concentration profiles is presented graphically. Finally, numerical values of skin friction coefficient, Nusselt number, and Sherwood number are obtained and presented in tabular form for different values of physical parameters. It is found that skin friction coefficient increases with an increase in thermal conductivity variation parameter and magnetic parameter and decreases as the values of viscosity variation parameter, Soret number and Dufour number increase. Moreover, an increase in the Dufour number tends to decrease the Nusselt number and to increase the Sherwood number. But, an contrary tendency is observed with Soret number.

frontiers in heat and mass transfer

SORET AND DUFOUR EFFECTS ON UNSTEADY HYDROMAGNETIC DUSTY FLUID FLOW PAST AN EXPONENTIALLY ACCELERATED PLATE WITH VARIABLE VISCOSITY AND THERMAL CONDUCTIVITY