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

机译:变迭代法求解微通道二维稳态滑流的解析近似解

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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.
机译:本文研究了微通道中的二维稳态滑流。对微流的研究,特别是对微滑流的研究,对于设计和优化微机电系统(MEMS)非常重要。通过使用相似性解,将二维微通道稳态滑流的Navier-Stokes方程简化为非线性三阶微分方程。通过变分迭代法(VIM)解析求解该非线性方程。将本方法得到的结果与数值解进行比较,证明了该方法的准确性和快速收敛性。预计VIM可以在工程问题中得到广泛应用。

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