Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (4): 409-418.doi: https://doi.org/10.1007/s10483-011-1426-6

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MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field

F. M. ALI1, R. NAZAR2, N. M. ARIFIN1, I.POP3   

  1. 1. Department of Mathematics, Institute of Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;
    2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;
    3. Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania
  • 收稿日期:2010-06-24 修回日期:2011-02-09 出版日期:2011-03-29 发布日期:2011-04-01

MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field

F. M. ALI1, R. NAZAR2, N. M. ARIFIN1, I.POP3   

  1. 1. Department of Mathematics, Institute of Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;
    2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;
    3. Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania
  • Received:2010-06-24 Revised:2011-02-09 Online:2011-03-29 Published:2011-04-01

摘要:

The problem of the steady magnetohydrodynamic (MHD) stagnation-point flow of an incompressible viscous fluid over a stretching sheet is studied. The effect of an induced magnetic field is taken into account. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. Numerical results are obtained for various magnetic parameters and Prandtl numbers. The effects of the induced magnetic field on the skin friction coefficient, the local Nusselt number, the velocity, and the temperature profiles are presented graphically and discussed in detail.

Abstract:

The problem of the steady magnetohydrodynamic (MHD) stagnation-point flow of an incompressible viscous fluid over a stretching sheet is studied. The effect of an induced magnetic field is taken into account. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. Numerical results are obtained for various magnetic parameters and Prandtl numbers. The effects of the induced magnetic field on the skin friction coefficient, the local Nusselt number, the velocity, and the temperature profiles are presented graphically and discussed in detail.

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