Unsteady Flow of Viscous Fluid through a Straight Long Porous Circular Tube Due to Constant and Exponentially Decaying Pressure Gradient

The aim of this paper is to investigate the unsteady flow of viscous fluid through a straight porous channel due to a constant and exponentially decaying pressure gradient. The fluid is assumed to be Newtonian and incompressible. To solve the problem we have been using the technique of finite Hankel transformation. The method we have been applied put some restriction to injection parameter that it cannot be ≤ 2ν but in the case of suction there is no restriction. In both the cases of constant and exponentially decaying pressure gradient for large oscillation where ν ˃˃ 1 the amplitude of velocity profile gradually diminishes as suction parameter n increases from ‘0’ to onward which shows that suction tries to annihilate the motion ( fig. - 2 and -5) while for injection parameter the amplitude of velocity profile increases when 0˃ n ˃ -2ν (fig. -3 and -6). But when n ˂2ν the velocity profile becomes negative and gradually diminishes. Thus n = 2ν can be treated as a suction-injection transition line.