Optimal Homotopy Asymptotic Method for Solving Viscous Flow through Expanding or Contracting Gaps with Permeable Walls
Optimal Homotopy Asymptotic Method for Solving Viscous Flow through Expanding or Contracting Gaps with Permeable Walls
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发表时间：
2013
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通讯作者：
Mohammad Mehdi Rashidi;Esmaeel Erfani;B. Rostami;Shanghai Jiao
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作者：
Mohammad Mehdi Rashidi;Esmaeel Erfani;B. Rostami;Shanghai Jiao
本文应用最优同伦渐近方法（OHAM）求解了具有透水壁的二维粘性流问题。此外，还将OHM的计算结果与同伦分析法的计算结果以及用打靶法结合龙格-库塔积分法的数值计算结果进行了比较。利用这种方法，我们可以方便地控制所得级数的收敛性，并在必要时调整收敛区域。讨论了无量纲壁膨胀率和渗透雷诺数Re对壁面剪应力、速度、正压力和轴向压力分布的影响.关键词：渗透壁，无量纲壁膨胀率，渗透雷诺数，最优同伦渐近法，同伦分析法机械工程教授：电话：+98 811 8257409;传真：+98 811 8257400电子邮件地址：mm rashidi@sjtu.edu.cn，mm rashidi@yahoo.com（M.M. Rashidi）.84
AbstractIn this paper an analytical technique, namely Optimal Homotopy AsymptoticMethod (OHAM), is implemented for solving the problem of two-dimensionalviscous ow through expanding or contracting gaps with permeable walls. Inaddition, comparison of the OHAM results is presented with the HomotopyAnalysis Method and numerical calculation by the shooting method coupledwith a Runge-Kutta integration scheme results. By this technique, we havea convenient way to control the convergence of obtained series and adjustconvergence regions when necessary. The e ects of non-dimensional walldilation rate and permeation Reynolds number Reon the wall shear stress,velocity, normal pressure and the axial pressure distributions are discussed.Key words: Permeable walls, Non-dimensional wall dilation rate,Permeation Reynolds number, Optimal Homotopy Asymptotic Method(OHAM), Homotopy Analysis Method (HAM) Professor of Mechanical Engineering: Tel.: +98 811 8257409; fax: +98 811 8257400Email address: mm rashidi@sjtu.edu.cn, mm rashidi@yahoo.com (M.M. Rashidi).84