Approximate solutions to MHD Falkner-Skan flow over permeable wall

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 transf...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2011-04, Vol.32 (4), p.401-408
Main Author: 苏晓红 郑连存
Format: Article
Language:English
Subjects:
Applications of Mathematics
Approximation
Boundary layer flow
Classical Mechanics
Fluid- and Aerodynamics
Magnetic fields
Magnetohydrodynamics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
MHD
Partial Differential Equations
Skin friction
Walls
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-011-1425-9