African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 261

Full Length Research Paper

MHD Heat transfer aspects between two parallel conducting porous walls in a rotating system, with Hall currents

T. Linga Raju1 and P. S. R. Murty2*
  1Department of Engineering Mathematics, University College of Engineering, Andhra University, Visakhapatnam, India. 2Department of Mathematics, GIT, GITAM University, Visakhapatnam-530045, India.
Email: [email protected]

  •  Accepted: 31 May 2011
  •  Published: 31 July 2011

Abstract

 

An analysis is presented for heat transfer in fully developed viscous incompressible hydromagnetic flow of an ionized gas bounded by two parallel porous walls under the action of uniform transverse magnetic field, when rotated with an angular velocity about an axis perpendicular to the walls, by taking Hall effect into account. The governing equations of motion and heat transfer expressing the physical situations in terms of mathematical relations are given, assuming that the magnetic Reynolds number is small. Exact solutions are obtained for both primary and secondary velocity distributions to determine the heat transfer when temperature of the walls is prescribed to be the same. The effect of flow parameters on temperature distribution is discussed in detail, when the walls are made up of conducting porous materials. It is found that, the temperature distribution decreases as the Hall parameter increases for fixed values of rotation, suction and Hartmann number; and the rate of heat transfer is greater in case of porous walls than the non-porous walls.

 

Key words: Magnetohydrodynamics, Hall currents, rotating fluids, suction, heat transfer.