On steady MHD flow and heat transfer past a rotating disk in a porous medium with ohmic heating and viscous dissipation
- 20 April 2010
- journal article
- Published by Emerald in International Journal of Numerical Methods for Heat & Fluid Flow
- Vol. 20 (3), 269-285
- https://doi.org/10.1108/09615531011024039
Abstract
Purpose: The purpose of this paper is to investigate the hydromagnetic steady flow and heat transfer characteristics of an incompressible viscous electrically conducting fluid past a rotating disk in a porous medium with ohmic heating, Hall current and viscous dissipation are also investigated.Design/methodology/approach: Using appropriate similarity variables and boundary‐layer approximations, the fluid equations for continuity, momentum and energy balance governing the problem are formulated. These equations are solved numerically by using the most effective Newton‐Raphson shooting method along with fourth‐order Runge‐Kutta integration algorithm.Findings: It was found that magnetic field retards the fluid motion due to the opposing Lorentz force generated by the magnetic field. Both the magnetic field and the Eckert number tend to enhance the heat transfer efficiency. The Hall parameter however reduces the heat transfer rate. In terms of the friction coefficient, the magnetic interaction parameter, the Hall parameter and the Eckert number all combine to increase the skin friction, while increasing the Darcy number (increasing permeability) reduces the skin friction so increasing the fluid velocity.Practical implications: This paper provides a very useful source of information for researchers on the subject of hydromagnetic flow in porous media.Originality/value: This type of problem has potential to serve as a prototype for practical swirl problems, for example, axisymmetric flow in combustors.Keywords
This publication has 17 references indexed in Scilit:
- Magnetohydrodynamic Mixed-Convective Flow and Heat and Mass Transfer Past a Vertical Plate in a Porous Medium With Constant Wall SuctionJournal of Heat Transfer, 2008
- Rotating disk flow and heat transfer of a conducting non-newtonian fluid with suction-injection and ohmic heatingJournal of the Brazilian Society of Mechanical Sciences and Engineering, 2007
- Unsteady flow and heat transfer of viscous incompressible fluid with temperature-dependent viscosity due to a rotating disc in a porous mediumJournal of Physics A: General Physics, 2006
- On hydromagnetic flow due to a rotating diskApplied Mathematical Modelling, 2004
- Variable Property Effects of Fully Developed Laminar Flow in Concentric AnnuliJournal of Heat Transfer, 1988
- The effect of variable properties on momentum and heat transfer in a tube with constant heat flux across the wallInternational Journal of Heat and Mass Transfer, 1985
- On the flow due to a rotating diskJournal of Fluid Mechanics, 1966
- The rotationally symmetric flow of a viscous fluid in the presence of an infinite rotating diskJournal of Fluid Mechanics, 1960
- The flow due to a rotating discMathematical Proceedings of the Cambridge Philosophical Society, 1934
- Über laminare und turbulente ReibungZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1921