Analytic Approximate Solution for Two-Dimensional Steady Slip Flow in Microchannels by Variational Iteration Method

In this paper, the two-dimensional steady slip flow in microchannels is investigated. Research on micro flow,especially on micro slip flow, is very important for designing and optimizing the micro electromechanical system (MEMS). The Navier-Stokes equations for 2-dimensional steady slip flow in microchannels are reduced to a nonlinear three-order differential equation by using similarity solution. Variational iteration method (VIM) is used to solve this nonlinear equation analytically.Comparison of the result obtained by the present method with numerical solution reveals that the accuracy and fast convergence of the new method. It is predicted that the VIM can have wide application in engineering problems.