Slip effects on the flow of Newtonian fluid in renal tubule

The study of incompressible Newtonian fluid flow in a small diameter permeable tube by considering slip effects on walls is presented with an application to the flow in renal tubule. The fluid absorption at the tube walls is taken as a function of wall permeability and trans-boundary pressure drop. Using suitable physical approximations, the Navier-Stokes equations are transformed into simpler form. Exact analytical solutions of reduced equations are obtained. Expressions for radial and axial velocity profiles, pressure distribution, volume flow rate, wall shear stress, fractional reabsorption and streamlines are presented. Effects of wall permeability and slip coefficient on flow variables are studied and discussed graphically. The results indicate that slip coefficient considerably influences the flow variables. The obtained results coincide well with the existing solutions when the slip coefficient approaches to zero.