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 two-dimensional steady slip flow inmicrochannels
are reduced to a nonlinear third-order differential equation by using similarity solution. The 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.
