Applied Mathematics and Mechanics

, Volume 31, Issue 4, pp 439–448

Effects of slip condition on MHD stagnation-point flow over a power-law stretching sheet

  • Jing Zhu (朱 婧)
  • Lian-cun Zheng (郑连存)
  • Zhi-gang Zhang (张志刚)
Article

DOI: 10.1007/s10483-010-0404-z

Cite this article as:
Zhu, J., Zheng, L. & Zhang, Z. Appl. Math. Mech.-Engl. Ed. (2010) 31: 439. doi:10.1007/s10483-010-0404-z

Abstract

The steady two-dimensional magnetohydrodynamic stagnation flow towards a nonlinear stretching surface is studied. The no-slip 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 third-order 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.

Key words

boundary layerslip flowstagnation pointscaling group transformationhomotopy analysis method

Chinese Library Classification

O345O11

2000 Mathematics Subject Classification

74K1074D05

Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Jing Zhu (朱 婧)
    • 1
  • Lian-cun Zheng (郑连存)
    • 1
  • Zhi-gang Zhang (张志刚)
    • 1
  1. 1.Department of Mathematics and MechanicsUniversity of Science and Technology BeijingBeijingP. R. China