Flow In A Channel With An Overlapping Constriction And Permeability

In this paper, we discuss the steady laminar flow of viscous incompressible fluid through a two dimensional non-uniform channel with an overlapping constriction and permeable walls. The fluid reabsorption through permeable walls is considered by taking flux as a function of axial distance. An approximate analytical method based on regular perturbation technique is applied to get the solution for velocity profiles, mean pressure drop, wall shear stress and streamlines, by assuming delta (ratio of inlet half-width to length of channel) as a small parameter. The effects of various parameters on the velocity profiles at different positions along the axis, the axial distribution of wall shear stress, mean pressure drop and streamlines are discussed and presented graphically. From the above discussions, the model may be considered for possible applications to flow in renal tubule.