Flow of a Jeffrey Fluid between Finite Deformable Porous Layers

The flow of a Jeffrey fluid between a thin deformable porous layers is investigated. The governing equations are solved in the free flow and porous flow regions. The expressions for the velocity field and deformation are obtained. When 1 λ →0, the results agree with the corresponds ones of Barry et al (1991). The effects of Jeffrey parameter, the pressure gradient, f φ and s φ on the flow velocity and deformation are discussed. It is found that the velocity increases with the increase in the non-Newtonian Jeffrey parameter 1 λ .This study is also relevant to filtration technology, soil mechanics and to other biological problems such as the mechanics of articular cartilage.