Approximate solutions to MHD Falkner-Skan flow over permeable wall  

作　　者：苏晓红 郑连存 

机构地区：[1]Department of Mathematics and Mechanics,University of Science and Technology Beijing [2]Department of Mathematics and Physics,North China Electric Power University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第4期401-408,共8页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 50936003 and 51076012);the Open Project of State Key Laboratory for Advanced Metals and Materials (No. 2009Z-02)

摘　　要：The magnetohydrodynamic （MHD） Falkner-Skan boundary layer flow over a permeable wall in the presence of a transverse magnetic field is examined. The approximate solutions and skin friction coefficients of the MHD boundary layer flow are obtained by using a method that couples the differential transform method （DTM） with the Pade approximation called DTM-Pade. The approximate solutions are expressed in the form of a power series that can be easily computed with an iterative procedure. The approximate solutions are tabulated, plotted for the values of different parameters and compared with the numerical ones obtained by employing the shooting technique. It is found that the approximate solution agrees very well with the numerical solution, showing the reliability and validity of the present work. Moreover, the effects of various physical parameters on the boundary layer flow are presented graphically and discussed.The magnetohydrodynamic （MHD） Falkner-Skan boundary layer flow over a permeable wall in the presence of a transverse magnetic field is examined. The approximate solutions and skin friction coefficients of the MHD boundary layer flow are obtained by using a method that couples the differential transform method （DTM） with the Pade approximation called DTM-Pade. The approximate solutions are expressed in the form of a power series that can be easily computed with an iterative procedure. The approximate solutions are tabulated, plotted for the values of different parameters and compared with the numerical ones obtained by employing the shooting technique. It is found that the approximate solution agrees very well with the numerical solution, showing the reliability and validity of the present work. Moreover, the effects of various physical parameters on the boundary layer flow are presented graphically and discussed.

关 键 词：Falkner-Skan similarity solution magnetohydrodynamic （MHD） boundary layer flow differential transform method （DTM） 

分 类 号：O361.3[理学—流体力学]