可渗透壁面上Falkner-Skan磁流体动力学流动的近似解  

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

作　　者：苏晓红[1,2] 郑连存[1] 

机构地区：[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

出　　处：《应用数学和力学》2011年第4期383-390,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(50936003;51076012)

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.The magnetohydrodynamic（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-Padé which couples the differential transform method（DTM） with the Padé approximation.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.

关 键 词：Falkner-Skan 相似解 MHD边界层流动 微分变换法 

分 类 号：O357[理学—流体力学] O175[理学—力学]