The Objective of this Book is to Investigate the Unsteady Stokes Flow of Viscous Fluid, the behaviour of the Steady and Unsteady flows in the presence of Magnetic forces and the flow of second grade fluid between parallel porous plates using analytical and numerical techniques. The flow is assumed to be laminar, incompressible and viscous. The Navier-Stokes equations are assumed for the viscous flow, the second grade fluid flow problems and the magnetic effects are also considered in some of the problems for the steady and unsteady cases. Exact solutions have been found out for some flow problems. Approximate analytical solution has been obtained using Perturbation technique and the numerical solution is being discussed. Runge Kutta Gill's method is applied for finding out the numerical solutions.