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具有不同渗透的涨缩管道内微极性流动的同伦分析解

司新毅 司新辉 郑连存 张欣欣

司新毅, 司新辉, 郑连存, 张欣欣. 具有不同渗透的涨缩管道内微极性流动的同伦分析解[J]. 应用数学和力学, 2011, 32(7): 807-820. doi: 10.3879/j.issn.1000-0887.2011.07.005
引用本文: 司新毅, 司新辉, 郑连存, 张欣欣. 具有不同渗透的涨缩管道内微极性流动的同伦分析解[J]. 应用数学和力学, 2011, 32(7): 807-820. doi: 10.3879/j.issn.1000-0887.2011.07.005
SI Xin-yi, SI Xin-hui, ZHENG Lian-cun, ZHANG Xin-xin. Homotopy Analysis Solution for Micropolar Fluid Flow Through Porous Channel With Expanding or Contracting Walls of Different Permeabilities[J]. Applied Mathematics and Mechanics, 2011, 32(7): 807-820. doi: 10.3879/j.issn.1000-0887.2011.07.005
Citation: SI Xin-yi, SI Xin-hui, ZHENG Lian-cun, ZHANG Xin-xin. Homotopy Analysis Solution for Micropolar Fluid Flow Through Porous Channel With Expanding or Contracting Walls of Different Permeabilities[J]. Applied Mathematics and Mechanics, 2011, 32(7): 807-820. doi: 10.3879/j.issn.1000-0887.2011.07.005

具有不同渗透的涨缩管道内微极性流动的同伦分析解

doi: 10.3879/j.issn.1000-0887.2011.07.005
基金项目: 国家自然科学基金资助项目(50936003;50905013);先进金属和材料国家重点实验室项目(2009Z-02)
详细信息
    作者简介:

    司新毅(1985- ),男,山东聊城人,博士生(E-mai:lhotsauce0079@163.com);司新辉(1978- ),男,山东聊城人,讲师,博士(联系人.Te:l+86-10-62332589;E-mail:sixinhui_ustb@126.com).

  • 中图分类号: O175.8;O357.3

Homotopy Analysis Solution for Micropolar Fluid Flow Through Porous Channel With Expanding or Contracting Walls of Different Permeabilities

  • 摘要: 分析了壁面具有不同渗透的涨缩管道内微极性流体的流动.对于壁面的胀缩,考虑常系数和时间函数的膨胀率两种情况.对于第1种情况,应用同伦分析方法得到该问题的速度和微旋转角度的表达式.并且画图分析了各个不同参数,特别是膨胀系数和不同的渗透率对流体的动力特征的影响.可以得到第1个重要的结论:壁面的膨胀率和不同的渗透对流体的动力特征有重要的影响.根据Xu的模型,考虑了第2种也是更具有一般性的情况,假设壁面的膨胀率随时间的变化而变化.在这样的假设下,控制方程被转化成非线性偏微分方程,并且同样也可以应用HAM方法进行求解.应用代数和指数的模型来描述膨胀率从初始状态到最终状态的演变过程.然而,结果表明包含有时间的解很快地趋向于稳态的解.这样可以得到第2个重要的结论,时间在壁面的膨胀收缩中扮演着次要的角色,可以忽略不计.
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出版历程
  • 收稿日期:  2010-12-06
  • 修回日期:  2011-04-20
  • 刊出日期:  2011-07-15

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