Journal of Applied Science and Engineering

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Dileep Singh Chauhan This email address is being protected from spambots. You need JavaScript enabled to view it.1 and Rashmi Agrawal1

1Department of Mathematics, University of Rajasthan, Jaipur-302055, India


 

Received: September 11, 2010
Accepted: February 22, 2011
Publication Date: March 1, 2012

Download Citation: ||https://doi.org/10.6180/jase.2012.15.1.01  


ABSTRACT


The fully developed MHD mixed convection flow in a vertical channel, partially filled with clear fluid and partially filled with a fluid-saturated porous medium, is investigated by taking into account viscous and Ohmic dissipations. The bounding impermeable walls of the channel are maintained at different constant temperatures. The isothermal-isoflux and isoflux-isothermal temperature conditions on the walls have also been considered. The flow in the porous medium is modeled by the Brinkman equation and the Boussinesq approximation holds. The velocity and temperature distributions in the composite channel are obtained numerically by shooting technique with fourth order Runge-Kutta method and analytically by perturbation series method. These results have been depicted graphically, compared and discussed.


Keywords: Mixed MHD Convection, Vertical Channel, Viscous and Ohmic Dissipation, Permeability of the Porous Medium, Perturbation Series Method


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