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Transient flow through a porous channel with ramped pressure gradient and velocity slip boundary condition

Jha Basant K., Yunus Zainab Sa'id

International Journal of Applied Mechanics and Engineering

2022

Vol. 27, no. 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.