Abstract
This paper presents the solutions to the equations governing convective flow and heat transfer of two viscous immiscible dusty and pure fluids confined between a vertical corrugated wall and a parallel flat wall. The nonlinear partial differential equations governing the flow have been reduced to nonlinear ordinary differential equations using the regular perturbation method. The transformed nonlinear ordinary differential equations have been solved numerically using the linear approximation theorem. The effects of the governing parameters on the velocity and temperature fields for the two fluids and the dust particles have been obtained and graphically represented using Matlab.