Transient Flow Through a Porous Channel with Ramped Pressure Gradient and Velocity Slip Boundary Condition
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Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Online publication date: 2022-03-17
Publication date: 2022-03-01
International Journal of Applied Mechanics and Engineering 2022;27(1):78-90
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.
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