Affiliation:
1. Department of Mathematics , Ahmadu Bello University , Zaria , Nigeria
Abstract
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.
Reference16 articles.
1. [1] Liu Q. and Prosperitti A. (2011): Pressure-driven flow in a channel with porous walls.– Journal of Fluid Mechanics, vol.679, pp.77-100.10.1017/jfm.2011.124
2. [2] Fang T. (2004): Further discussion on the incompressible pressure-driven flow in a channel with porous walls.– International Communication of Heat Mass Transfer, vol.31, No.4, pp.487-500.10.1016/S0735-1933(04)00030-2
3. [3] Fang T. (2004): A note on the incompressible Couette flow with porous walls.– International Communication of Heat Mass Transfer, vol.31, No.1, pp.31-41.10.1016/S0735-1933(03)00199-4
4. [4] Hafeez H.Y. and Ndikilar C.E. (2014): Flow of viscous fluid between two parallel porous plates with bottom injection and top suction.– Progress in Physics, vol.10, No.1, pp.49-51.
5. [5] Khaled A.-R.A. and Vafai K. (2004): The effect of slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions.– International Journal of Non Linear Mechanics, vol.39, pp.795-809.