Dynamics of Two-Phase Dusty Fluid Flow Along a Wavy Surface

Abstract This article provides the computational results of laminar, boundary layer flow of a dilute gas-particle mixture over a semi-infinite vertical wavy surface. The governing parabolic partial differential equations are switched into another frame of reference by using primitive variable formulations (PVF). Two-point finite difference scheme is applied to acquire the unknown quantities of the carrier and the particle phase. The results are obtained for the cases: (i) water–metal mixture and (ii) air–metal mixture and are displayed in the form of wall shear stress, wall heat transfer, velocity profile, temperature profile, streamlines and isotherms for different emerging physical parameters. The solutions are compared, as well, with the available data in the literature. Quantitative comparison shows good compatibility between the present and the previous results. For the dusty fluid model it is found that the rate of heat transfer reduces considerably when the amplitude of the sinusoidal waveform increases from 0 to 0.5.