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Chin. Phys. B, 2012, Vol. 21(3): 035201    DOI: 10.1088/1674-1056/21/3/035201

Approximate solution of the magneto-hydrodynamic flow over a nonlinear stretching sheet

Eerdunbuhe(额尔敦布和)a)b) and Temuerchaolu(特木尔朝鲁)a)c)†
a. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China;
b. Department of Mathematics, Hohhot University for Nationalities, Hohhot 010051, China;
c. College of Art and Sciences, Shanghai Maritime University, Shanghai 200135, China
Abstract  The approximate solution of the magneto-hydrodynamic (MHD) boundary layer flow over a nonlinear stretching sheet is obtained by combining the Lie symmetry method with the homotopy perturbation method. The approximate solution is tabulated, plotted for the values of various parameters and compared with the known solutions. It is found that the approximate solution agrees very well with the known numerical solutions, showing the reliability and validity of the present work.
Keywords:  magneto-hydrodynamic (MHD) boundary layer flow      Lie symmetry method      homotopy perturbation method      approximate solution  
Received:  20 September 2011      Revised:  09 November 2011      Accepted manuscript online: 
PACS:  52.65.Kj (Magnetohydrodynamic and fluid equation)  
  02.60.Lj (Ordinary and partial differential equations; boundary value problems)  
  11.30.-j (Symmetry and conservation laws)  
  46.15.Ff (Perturbation and complex analysis methods)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11071159) and the College Science Research Project of Inner Mongolia, China (Grant No. NJzy08180).
Corresponding Authors:  Temuerchaolu,     E-mail:

Cite this article: 

Eerdunbuhe(额尔敦布和) and Temuerchaolu(特木尔朝鲁) Approximate solution of the magneto-hydrodynamic flow over a nonlinear stretching sheet 2012 Chin. Phys. B 21 035201

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