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Article

Thermal Radiation Effect on a Porous Media under Optically Thick Approximation

1Department of Mathematics, University of Ilorin, Kwara State, Nigeria

2Department of Physical and Computer Sciences, College of Natural and Applied Science McPherson University, Abeokuta, Ogun State Nigeria

3Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

4Sokoto Energy Research Centre, Usmanu Danfodiyo University, Sokoto, Nigeria


American Journal of Numerical Analysis. 2013, Vol. 1 No. 1, 15-21
DOI: 10.12691/ajna-1-1-3
Copyright © 2013 Science and Education Publishing

Cite this paper:
M.O Ibrahim, K.K. Asogwa, I.J Uwanta, B.G Dan Shehu. Thermal Radiation Effect on a Porous Media under Optically Thick Approximation. American Journal of Numerical Analysis. 2013; 1(1):15-21. doi: 10.12691/ajna-1-1-3.

Correspondence to: K.K.  Asogwa, Department of Physical and Computer Sciences, College of Natural and Applied Science McPherson University, Abeokuta, Ogun State Nigeria. Email:

Abstract

The purpose of this paper is to investigate thermal radiation effect on a porous media under optically thick approximation using Newton scheme method from Taylor series implemented numerically on MATLAB. The velocity profiles and temperature profile are studied for different physical parameters like, Porous term P, Radiation F and thermal Grashof number Ga. The results shows that Porous parameter increases with increasing velocity, while the trend reverses with thermal radiation and thermal Grashof number under optically thick approximation. The flow rate increases asymmetrically due to conduction.

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