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ORIGINAL PAPER
Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium
1
Department of PG and UG Studies in Mathematics Government College Gulbarga-585105 Karnataka, INDIA
Online publication date: 2013-06-08
Publication date: 2013-06-01
International Journal of Applied Mechanics and Engineering 2013;18(2):461-474
KEYWORDS
porous mediaviscous dissipationRunge-Kutta methodthermal radiationwall temperature gradientwall temperature
ABSTRACT
In this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat transfer into ODE’s. Solutions of motion and heat transfer are obtained by the Runge-Kutta integration scheme with most efficient shooting technique. The graphical results are presented to interpret various physical parameters of interest. It is found that the velocity profile decreases with an increase of the porous parameter asymptotically. The temperature field decreases with an increase in the parametric values of the Prandtl number and thermal radiation while with an increase in parameters of the Eckert number and porous parameter, the temperature field increases in both PST (power law surface temperature) and PHF (power law heat flux) cases. The numerical values of the non-dimensional wall temperature gradient and wall temperature are tabulated and discussed.
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