Effect of Slip Velocity at a Porous Surface in Tube Flow System using Series Solution Method

Abstract

In this thesis, an attempt has been made on the effect of slip velocity at a mem brane surface in a tube flow system. The Navier-Stokes equations in cylindrical coordinates reduced to fourth order non-linear ordinary differential equation, con taining a parameter Rew, the wall Reynolds number. The semi-analytical solution of the set of governing equations with suitable slip flow boundary conditions is presented by using power series method to obtain velocity profile, pressure gradi ent and friction coefficient. Also the effect of slip coefficient on velocity profiles and pressure gradient is studied and their graphical solutions are also provided