Transient Flow Through a Porous Channel with Ramped Pressure Gradient and Velocity Slip Boundary Condition

Abstract

A transient flow formation of an incompressible fluid through a horizontal porous channel assuming a ramped pressure gradient is considered with the velocity slip boundary conditions. The flow is a laminar flow caused by ramped pressure gradient along the flow direction. The equation governing the flow is modeled, and solved by the Laplace transformation technique to obtain a semi-analytical solution under slip boundary conditions. It was noted that the flow velocity increases as the slip parameter is increased.

Keywords

• transient flow
• velocity slip
• ramped pressure gradient
• riemann-sum approximation technique