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International Journal of Physics and Mathematics

Vol. 2, Issue 1, Part A (2020)

Thermal radiation and chemical reaction effects on a porous media flow with heat generation

Author(s):

Chinedu Nwaigwe, Jonathan Oahimire

Abstract:
The present study investigates the effects of thermal radiation and chemical reaction on the unsteady free-convection flow over a vertical infinite porous plate under the action of a transverse magnetic field, suction velocity and heat sources. The incompressible Newtonian fluid model is considered and the convective, diffusive and reactive processes are incorporated to describe the time evolution of fluid temperature and mass concentration within the flow. These led to a coupled system of partial differential equations alongside the relevant conditions. A decoupled finite difference scheme is formulated for the dimensionless model, and the resulting linear system are solved, using the Gauss Seidel algorithm, for the field variables. The stability and convergence of the method are proved, and the results are numerically verified using the method of manufactured solutions. The numerical results are presented and the effects of the various flow parameters on the field variables are discussed. It is observed that an increase in the radiation parameter decreases the temperature, while an increase in the chemical reaction parameter leads to an increase in the concentration

Pages: 49-65  |  1294 Views  515 Downloads


International Journal of Physics and Mathematics
How to cite this article:
Chinedu Nwaigwe, Jonathan Oahimire. Thermal radiation and chemical reaction effects on a porous media flow with heat generation. Int. J. Phys. Math. 2020;2(1):49-65. DOI: 10.33545/26648636.2020.v2.i1a.18