Unsteady hydromagnetics boundary layer flow and heat transfer of dusty fluid over a stretching sheet

The aim of this paper is to investigate the effect of magnetic field on an unsteady boundary layer flow and heat transfer of a dusty fluid over a stretching surface. The fluid is assumed to be viscous and incompressible. The governing partial differential equations are reduced to coupled non-linear ordinary differential equations by similarity transformation. Numerical solutions of these coupled non-linear equations are obtained by using RKF-45 method. The solution is found to be dependent on governing parameters including Hartman number (M), unsteadiness parameter (A), Prandtl number (Pr), dust interaction parameter (β), suction parameter (R) and Eckert number (Ec). Comparison of numerical results is made with previously published results under the special cases, and found to be in good agreement. © 2011 African Mathematical Union and Springer-Verlag.