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

Applied Mathematics and Mechanics volume 32, pages 409–418 (2011)Cite this article

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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Authors and Affiliations

  1. Department of Mathematics, Institute of Mathematical Research, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia

    F. M. Ali & N. M. Arifin

  2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

    R. Nazar

  3. Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania

    I. Pop

Authors
  1. F. M. Ali
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  2. R. Nazar
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  3. N. M. Arifin
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  4. I. Pop
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Corresponding author

Correspondence to R. Nazar.

Additional information

Project supported by the Fundamental Research Grant Scheme (FRGS) of the Ministry of Higher Education (MOHE) of Malaysia (No.UKM-ST-07-FRGS0036-2009)

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Ali, F.M., Nazar, R., Arifin, N.M. et al. MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field. Appl. Math. Mech.-Engl. Ed. 32, 409–418 (2011). https://doi.org/10.1007/s10483-011-1426-6

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  • DOI: https://doi.org/10.1007/s10483-011-1426-6

Key words

  • boundary layer
  • heat transfer
  • induced magnetic field
  • numerical solution
  • magnetohydrodynamic (MHD) flow
  • stretching sheet

Chinese Library Classification

  • O345

2010 Mathematics Subject Classification

  • 76D10
  • 76W05