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

SU Xiao-hong; ZHENG Lian-cun

doi:10.3879/j.issn.1000-0887.2011.04.002

Volume 32 Issue 4

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SU Xiao-hong, ZHENG Lian-cun. Approximate Solutions to the MHD Falkner-Skan Flow Over a Permeable Wall[J]. Applied Mathematics and Mechanics, 2011, 32(4): 383-390. doi: 10.3879/j.issn.1000-0887.2011.04.002

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

doi: 10.3879/j.issn.1000-0887.2011.04.002

SU Xiao-hong^1,2,
ZHENG Lian-cun¹

1.
Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China;

Received Date: 2010-06-24
Rev Recd Date: 2011-02-14
Publish Date: 2011-04-15

Abstract

Abstract

The magnetohy drodynamic (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-Padéwhich couples the differential transform method (DTM) with the Padéapproximation.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.
- Falkner-Skan,
- similarity solution,
- MHD boundary layer flow,
- DTM

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References(23)

References

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