The College of Science in the Department of Mathematics discussed a seminar entitled (Analytical Study for fluid flow problems) for postgraduate student Batool Abd Al-hakeem Bade. The seminar focuses on the flow of fluids between two parallel plates for compressible or incompressible materials. Partial differential equations of Navier-Stokes were used to describe the motion of the fluid. The equations consist of a continuity equation for conservation of mass and time-dependent conservation of momentum equations. The Perturbation Iteration Algorithm (PIA (is used, along with its application to differential equations and finding the initial solution.