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


Turkyilmazoglu M.

ACTA MECHANICA, vol.218, pp.237-245, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 218
  • Publication Date: 2011
  • Doi Number: 10.1007/s00707-010-0416-4
  • Journal Name: ACTA MECHANICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.237-245
  • Hacettepe University Affiliated: No

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.