Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Karnataka, 577 451, India
Aim of the paper is to study an unsteady boundary layer flow and heat transfer analysis of a viscous, incompressible dusty fluid over a porous stretching surface in the presence of time dependent free stream. The governing partial differential equations are reduced to coupled non-linear ordinary differential equations by similarity transformation. Numerical solutions of these equations are obtained by using RKF-45 method. The solution obtained is dependent on governing parameters like Hartman number (M), unsteadiness parameter (A), Prandtl number (Pr), dust interaction parameter (Î²), suction parameter (R), Eckert number (Ec), the ratio of free stream velocity parameter and stretching parameter (Î») and thermal radiation parameter (Nr). Some important findings reported in this work reveals that the effect of radiation have significant impact in controlling the rate of heat transfer in the boundary layer region.