International Research Journal of Mechanical Engineering

International Research Journal of Mechanical Engineering Vol.  2 (8) pp. 202-210, August, 2014. © International Scholars Journals

Full Length Research Paper

Effects of Hall currents and slip condition on stable flow of a viscous fluid due to non-coaxial rotation of a porous disk and a fluid at infinity

*Atal V. Suman, Akshay E. B and Ravi Gobind Maurya

Department of Applied Mathematics, Savitribai Phule Pune University, Pune, India.

E-mail: [email protected]

Accepted 10 July, 2014

Abstract

Hall effects on the steady hydromagnetic flow due to non-coaxial rotations of a porous disk and a fluid at infinity with slip condition at the boundary has been studied. An exact solution of the governing equations has been obtained. The combined effects of Hall current, slip condition and suction or blowing are examined. It is found that both the primary velocity and the secondary velocity decrease with increase in Hall parameter. The heat transfer characteristic has also been studied on taking viscous and Joule dissipation into account. It is found that the critical Eckert number for which there is no flow of heat either from the disk to the fluid or from the fluid to the disk increases with increase in either Hall parameter or slip parameter.

Key words: Hall effects, slip condition, non-coaxial, heat transfer, porous disk and critical Eckert number.