Analytical Solution of Two-Dimensional Viscous Flow between Slowly Expanding or Contracting Walls with Weak Permeability

In this article the problem of two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability is presented and Homotopy Perturbation Method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. Comparisons are made between the Numerical solution (NM) and the results of the Heʹs Homotopy Perturbation Method (HPM).