Thermal Radiation Effect on a Porous Media under Optically Thick Approximation

M.O Ibrahim¹, K.K. Asogwa^2, , I.J Uwanta³ and B.G Dan Shehu⁴

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

Cite this paper:
M.O Ibrahim, K.K. Asogwa, I.J Uwanta and 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

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.

Keywords:
porous media recurrence relation radiation flow rate

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