Effects of slip condition on MHD stagnationpoint flow over a powerlaw stretching sheet
 Jing Zhu 朱 婧,
 Liancun Zheng 郑连存,
 Zhigang Zhang 张志刚
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The steady twodimensional magnetohydrodynamic stagnation flow towards a nonlinear stretching surface is studied. The noslip condition on the solid boundary is replaced with a partial slip condition. A scaling group transformation is used to get the invariants. Using the invariants, a thirdorder ordinary differential equation corresponding to the momentum is obtained. An analytical solution is obtained in a series form using a homotopy analysis method. Reliability and efficiency of series solutions are shown by the good agreement with numerical results presented in the literature. The effects of the slip parameter, the magnetic field parameter, the velocity ratio parameter, the suction velocity parameter, and the power law exponent on the flow are investigated. The results show that the velocity and shear stress profiles are greatly influenced by these parameters.
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 Title
 Effects of slip condition on MHD stagnationpoint flow over a powerlaw stretching sheet
 Journal

Applied Mathematics and Mechanics
Volume 31, Issue 4 , pp 439448
 Cover Date
 20100401
 DOI
 10.1007/s104830100404z
 Print ISSN
 02534827
 Online ISSN
 15732754
 Publisher
 Shanghai University Press
 Additional Links
 Topics
 Keywords

 boundary layer
 slip flow
 stagnation point
 scaling group transformation
 homotopy analysis method
 O345
 O11
 74K10
 74D05
 Industry Sectors
 Authors

 Jing Zhu 朱 婧 ^{(1)}
 Liancun Zheng 郑连存 ^{(1)}
 Zhigang Zhang 张志刚 ^{(1)}
 Author Affiliations

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