Radiative fluid flow over a vertical porous channel under optically thick approximation in the presence of MHD

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Date

2014

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Journal of the Nigerian Association of Mathematical Physics

Abstract

Numerous nonlinear equations that come up in real life situations defy analytical solutions; hence numerical methods are desirable to obtain the solutions of such equations. In this study, we use Newton scheme method from Taylor series to solve fourth order nonlinear problem. A mathematical software MATLAB was used to solve the system of equations to obtain the unknown constants. The velocity profiles and temperature profile are studied for different physical parameters like Magnetohydrodynamic M, porous term P, Radiation F and thermal Grashof number Ga. The results obtained after computation taking into cognizance the parameters present shows that the Magnetic and Porous parameters increase with increasing velocity, while the trend reverses with Radiation and thermal Grashof number under optically thick approximation.

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Keywords

MHD, porous media, recurrence relation, vertical plate, radiation, flow rate

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