The present analysis deals with the steady, incompressible flow of a viscous fluid over a stretching sheet having a layer of porous medium of uniform thickness. The two-dimensional flow equations are derived in a Cartesian coordinate system. The semi-infinite region filled with a viscous fluid is divided into two regions namely, a clear fluid region and a region having a uniform pores. Darcy's law has been used for the flow of fluid in the porous medium region. An exact similar solution of the problem is obtained. The obtained solution is constrained by a relation between the porosity parameter and the parameter representing the viscosity ratios between the two regions. Our interest lies in determining the influence of porosity parameter, viscosities ratio parameter and thickness of the porous layer on the fluid velocity and the skin friction coefficient. The results for the Crane's problem in a complete clear and a complete porous region are retrieved as special cases of the present solution.
Sajid, M.; Abbas, Z.; Ali, N.; and Javed, T.
Stretching a Surface Having a Layer of Porous Medium in a Viscous Fluid,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
2, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss2/9