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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

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文章导航 > 应用数学和力学  > 2012 >  33(12): 1451-1464
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
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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
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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

doi: 10.3879/j.issn.1000-0887.2012.12.007

  • 1北京科技大学 数理学院,北京100083;2华北电力大学 数理学院,河北 保定 071003;3北京科技大学 机械工程学院,北京 100083

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

  • 1 School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P.R.China;2 School of Mathematics and Physics, North China Electric Power University, Baoding, Hebei 071003, P.R.China;3 Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, P.R.China

    摘要
  • 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．
    Abstract: The unsteady magnetohydrodynamic (MHD) boundary layer flow over a shrinking permeable sheet embedded in a moving viscous electrically conducting fluid was investigated analytically and numerically. The velocity slip at the solid surface was taken into account in the boundary conditions. A novel analytical method named DTMBF was proposed and applied to get the approximate analytical solutions of the nonlinear governing equation along with the boundary conditions at infinity. All analytical results were compared with the results obtained by a numerical method. The comparison showed an excellent agreement, which validated the accuracy of the DTMBF method. Moreover, the existence ranges of the dual solutions and unique solution for various parameters were obtained. The effects of velocity slip parameter, unsteadiness parameter, magnetic parameter, suction/injection parameter and velocity ratio parameter on the skin friction, the unique velocity and dual velocity profiles were explored respectively.
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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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