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

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

苏晓红^1,2,
郑连存¹

北京科技大学数学力学系,北京 100083;2.华北电力大学数理系,河北保定071003

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
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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

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

SU Xiao-hong^1,2,
ZHENG Lian-cun¹

Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China;

摘要

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．
- Falkner-Skan /
- 相似解 /
- MHD边界层流动 /
- 微分变换法
Abstract: The magnetohy drodynamic (MHD) Falkner-Skan boundary layer flow over a permeable wall in the presence of a transverse magnetic field was examined.The approximate solutions and skin friction coefficients of the MHD boundary layer flow were obtained by using DTM-Padéwhich couples the differential transform method (DTM) with the Padéapproximation.The approximate solutions were expressed in the form of a power series that can be easily computed by employing an iterative procedure.The results of the approximate solution were tabulated,plotted for the values of different parameters and compared with the numerical ones obtained by employing the shooting technique.It is found that results of the approximate solution agree very well with those of numerical solution,which verifies the reliability and validity of the present work.Moreover,the effects of various physical parameters on the boundary layer flow were presented graphically and discussed.
- Falkner-Skan /
- similarity solution /
- MHD boundary layer flow /
- DTM

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参考文献(23)

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