Weighted residual method for the squeezing flow between parallel walls or plates

Abstract

The nonlinear governing equation is transformed into a fourth order non-linear ordinary differential equation of a viscous incompressible fluid flow between two parallel plates due to the normal motion of the plates for two cases. Its two cases of two-dimensional flow and the axisymmetric flows were examined. The method of weighted residual was used to get the numerical solution and the results thereby presented in tabular form in comparison with existing literature (Runge-Kutta) at a specified region. Various results are graphically shown to demonstrate the effect of (positive and negative) squeeze number on the velocity to check the efficiency and accuracy of the method.