The flow of a Jeffrey fluid in a composite horizontal channel partially filled with a deformable porous material

The flow of a Jeffrey liquid in a composite deformable porous layer is examined. The Jeffrey model governs fluid flow in the free-flow zone, while the theory of mixtures describes the fluid flow in the deformable porous region. The governing equations are transformed to dimensionless by using appropriate nondimensional quantities. The velocity field is achieved in both the clear flow and deformable porous regions. The displacement expression in the porous zone is also established. The results are discussed for various substantial parameters in detail. It is scrutinized that the flow rate accelerates with a rise in the Jeffrey parameter ${\lambda }_1$. Also, it is perceived that the flow rate is less for a Newtonian liquid than the non-Newtonian Jeffrey liquid. The fluid momentum enhances by increasing the volume fraction of the fluid phase. It is found that the magnitude of skin friction at the clear flow region and porous region grows with an increase in the Jeffrey parameter ${\lambda }_1$. Furthermore, it is noticed that the wall shear stress is less for a Newtonian liquid when compared with non-Newtonian Jeffrey liquid both in the free-flow region as well as in the porous regions.