Effect of porosity on the flow of a dusty fluid between parallel plates with heat transfer and uniform suction and injection

Abstract

In the present study, the unsteady flow with heat transfer of a viscous incompressible dusty fluid through a porous medium is studied. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below while the fluid is flowing through a porous medium that is assumed to obey Darcy’s law. The equations of motion are solved analytically to obtain the velocity distributions for both the fluid and dust particles. The energy equations for both the fluid and dust particles including the viscous dissipations are solved numerically using finite differences to get the temperature distributions for both phases. The influence of the porosity of the medium and the suction and injection velocity on both the fluid and particle phases is investigated.

Keywords:

• two phase flow
• dusty fluid
• parallel channel flow
• heat transfer
• finite differences