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DTM-BF方法和可渗透收缩壁面上带滑移速度的非稳态磁流体力学流动

苏晓红 郑连存 张欣欣

苏晓红, 郑连存, 张欣欣. DTM-BF方法和可渗透收缩壁面上带滑移速度的非稳态磁流体力学流动[J]. 应用数学和力学, 2012, 33(12): 1451-1464. doi: 10.3879/j.issn.1000-0887.2012.12.007
引用本文: 苏晓红, 郑连存, 张欣欣. DTM-BF方法和可渗透收缩壁面上带滑移速度的非稳态磁流体力学流动[J]. 应用数学和力学, 2012, 33(12): 1451-1464. doi: 10.3879/j.issn.1000-0887.2012.12.007
SU Xiao-hong, ZHENG Lian-cun, ZHANG Xin-xin. On DTM-BF Method and Dual Solutions for an Unsteady MHD Flow Over a Permeable Shrinking Sheet With Velocity Slip[J]. Applied Mathematics and Mechanics, 2012, 33(12): 1451-1464. doi: 10.3879/j.issn.1000-0887.2012.12.007
Citation: SU Xiao-hong, ZHENG Lian-cun, ZHANG Xin-xin. On DTM-BF Method and Dual Solutions for an Unsteady MHD Flow Over a Permeable Shrinking Sheet With Velocity Slip[J]. Applied Mathematics and Mechanics, 2012, 33(12): 1451-1464. doi: 10.3879/j.issn.1000-0887.2012.12.007

DTM-BF方法和可渗透收缩壁面上带滑移速度的非稳态磁流体力学流动

doi: 10.3879/j.issn.1000-0887.2012.12.007
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—),男,河北唐山人,教授,博士生导师(联系人.E-mail:liancunzheng@sina.com).

  • 中图分类号: O357;O175

On DTM-BF Method and Dual Solutions for an Unsteady MHD Flow Over a Permeable Shrinking Sheet With Velocity Slip

  • 摘要: 研究了运动的粘性导电流体中可渗透收缩壁面上非稳态磁流体边界层流动,利用解析和数值方法对问题进行了研究,并考虑了壁面速度滑移的影响.提出了一个新的解析方法(DTM-BF),并将其应用于求解带有无穷远边界条件的非线性控制方程的近似解析解.对所有的解析结果和数值结果进行了对比,结果显示两者非常吻合,从而证明了DTM-BF方法的有效性.另外,对不同的参数,得到了控制方程双解和单解的存在范围.最后,分别讨论了滑移参数、非稳态参数、磁场参数、抽吸/喷注参数和速度比例参数对壁面摩擦、唯一解速度分布和双解速度分布的影响.
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出版历程
  • 收稿日期:  2012-02-01
  • 修回日期:  2012-05-06
  • 刊出日期:  2012-12-15

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