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Analytic approximate solutions of rotating disk boundary layer flow subject to a uniform vertical magnetic field

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Abstract

The present paper is concerned with the analytical solution of the boundary layer flow of a steady, laminar, incompressible, viscous and electrically conducting fluid due to a rotating disk. Within this purpose, the recently popular homotopy analysis method is employed, making it possible to obtain explicitly analytic expressions for Lighthill’s coordinate straining parameter c in terms of the magnetic field parameter m, first used in Ackroyd (J Eng Phys 12:207–220, 1978) for the nonmagnetic case and recently studied to get the small perturbation and large asymptotic representations in Ariel (Z Angew Math Mech 82:235–246, 2001) for the magnetic case. Making use of the outlined approach, the mean velocity profiles corresponding to a wide range of magnetic strength parameters are computed, and also explicit formulas are derived for several quantities of physical significance.

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  1. Mathematics Department, University of Hacettepe, 06532, Beytepe, Ankara, Turkey

    M. Turkyilmazoglu

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  1. M. Turkyilmazoglu
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Correspondence to M. Turkyilmazoglu.

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Turkyilmazoglu, M. Analytic approximate solutions of rotating disk boundary layer flow subject to a uniform vertical magnetic field. Acta Mech 218, 237–245 (2011). https://doi.org/10.1007/s00707-010-0416-4

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  • DOI: https://doi.org/10.1007/s00707-010-0416-4

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