Thermal radiation effects on unsteady hydromagnetic gas flow along an inclinced plane with indirect natural convection

GHOSH, S. K., RAWAT, S,, BEG, O. A. and BEG, T. A. (2010). Thermal radiation effects on unsteady hydromagnetic gas flow along an inclinced plane with indirect natural convection. International journal of applied mathematics and mechanics, 6 (13), 41-57.

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Abstract

We study theoretically the unsteady gravity-driven thermal convection flow of a viscous incompressible, electrically-conducting, absorbing-emitting, optically-thick gray gas along an inclined plane in the presence of a transverse magnetic field and significant thermal radiation effects. The Rosseland diffusion flux model is employed to simulate thermal radiation effects. The momentum and energy conservation equations are non-dimensionalized and solved exactly using the Laplace Transform Method. Expressions are derived for the frictional shearing stress at the inclined plane surface. The effects of time (t), Grashof number (Gr), Boltzmann-Rosseland radiation parameter (K1), Hartmann number squared (M2) and plate inclination () on velocity (u) and temperature () distributions are studied. The flow is found to be accelerated with increasing inclination of the plane, increasing free convection effects and for greater thermal radiation contribution but decelerated with increasing magnetic effect and with progression of time. Temperature is found to be enhanced with progression of time, and with greater thermal radiation contribution. Applications of the model arise in astrophysics, high temperature materials operations exploiting magnetic fields and MHD (Magneto-Hydro-Dynamic) energy generators.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Depositing User:	Ann Betterton
Date Deposited:	10 Sep 2010 16:49
Last Modified:	10 Sep 2010 16:49
URI:	http://shura.shu.ac.uk/id/eprint/2499

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