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可渗透壁面上Falkner-Skan磁流体动力学流动的近似解

苏晓红 郑连存

苏晓红, 郑连存. 可渗透壁面上Falkner-Skan磁流体动力学流动的近似解[J]. 应用数学和力学, 2011, 32(4): 383-390. doi: 10.3879/j.issn.1000-0887.2011.04.002
引用本文: 苏晓红, 郑连存. 可渗透壁面上Falkner-Skan磁流体动力学流动的近似解[J]. 应用数学和力学, 2011, 32(4): 383-390. doi: 10.3879/j.issn.1000-0887.2011.04.002
SU Xiao-hong, ZHENG Lian-cun. Approximate Solutions to the MHD Falkner-Skan Flow Over a Permeable Wall[J]. Applied Mathematics and Mechanics, 2011, 32(4): 383-390. doi: 10.3879/j.issn.1000-0887.2011.04.002
Citation: SU Xiao-hong, ZHENG Lian-cun. Approximate Solutions to the MHD Falkner-Skan Flow Over a Permeable Wall[J]. Applied Mathematics and Mechanics, 2011, 32(4): 383-390. doi: 10.3879/j.issn.1000-0887.2011.04.002

可渗透壁面上Falkner-Skan磁流体动力学流动的近似解

doi: 10.3879/j.issn.1000-0887.2011.04.002
基金项目: 国家自然科学基金资助项目(50936003;51076012)
详细信息
    作者简介:

    苏晓红(1976- ),男,湖北人,博士生(E-mail:suxh2005@163.com);郑连存(1957- ),教授,博士生导师(联系人.Tel:+86-10-62332891;E-mail:liancunzheng@163.com).

  • 中图分类号: O357;O175

Approximate Solutions to the MHD Falkner-Skan Flow Over a Permeable Wall

  • 摘要: 研究了可渗透壁面上Falkner-Skan磁流体动力学(MHD)边界层流动问题.利用结合了微分变换法(DTM)和Padé近似的DTM-Padé方法,得到了边界层问题的近似解和壁摩擦因数值.通过建立一个迭代程序,边界层问题的近似解被表示为幂级数的形式,而且以图和表形式对不同参数下的近似解结果与打靶法得到的数值结果进行了对比,近似解和数值解结果高度吻合,从而验证了所得问题近似解和结论的可靠性和有效性.并且,对求得的边界层问题近似解结果进行了讨论,分析了不同物理参数对边界层流动的影响.
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出版历程
  • 收稿日期:  2010-06-24
  • 修回日期:  2011-02-14
  • 刊出日期:  2011-04-15

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