Analytical Solution of Squeezing Flow between Two Circular Plates

Abstract

In this study, the problem of unsteady squeezing flow between circular parallel plates is performed. The similarity transformation is applied to reduce a governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE) in dimensionless form. A new method, called the homotopy analytical method (HAM), is applied to obtain approximate analytical solution of this nonlinear equation. The obtained solutions, in comparison with the numerical solutions (fourth-order Runge–Kutta scheme), admit a remarkable accuracy.