Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2010
  • Volume: 29e
  • Issue: 2

Hall effects on steady hydro magnetic flow of a couple stress fluidthrough a porous medium in a rotating parallel plate channel

  • Author:
  • M. Veera Krishna1,, S.V. Suneetha1,, S.G. Malashetty2
  • Total Page Count: 10
  • Page Number: 183 to 192

1Department of Mathematics, Rayalaseema University, Kurnool (A.P) -518002 (INDIA)

2Department of Mathematics, HKES SLN College of Engineering, Rayachur, Karnataka-584101 (INDIA) Email: sgmalashetty@gmail.com

*Email: veerakrishna_maths@yahoo.com

**Email: svsmaths@gmail.com

Online published on 22 February, 2013.

Abstract

We discuss the steady hydro magnetic flow of a couple stress fluid in a rotating parallel plate channel in a porous medium under the influence of a uniform transverse magnetic field taking into Hall current. The perturbations are created by a constant pressure gradient along the plates. The equations for the couple stress fluid flow in the porous medium are based on Brinkman’s model. The exact solution of the velocity in the porous medium is analytically derived, its behaviour computationally discussed with reference to the various governing parameters. The shear stresses on the boundaries are also obtained analytically and their behaviour is computationally discussed.

Keywords

Hall currents, steady flows, Rotating channels, Couple stress fluids, Brinkman’s model