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Home  >  Volume 21 (2012)

On Similarity Solution of the Temperature Field of a Reacting Porous Medium with a Variable Thermal Conductivity by A. J. Omowaye Volume 21 (July, 2012), pp 105 – 110
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Abstract

The temperature field of a reacting porous medium with a variable thermal conductivity is investigated. The resulting partial differential equation obtained was reduced to ordinary differential equation with help of similarity variable. Further more, the non-linear ordinary differential equation obtained was solved numerically using shooting technique. Numerical results are introduced in graphical form for different values of the parameters involved in the problem. Finally, the existence and uniqueness of solution of the mode was checked and it was found that the model has a  unique solution.

Keywords: Similarity solution, porous media, thermal conductivity, reacting flow, numerical solution.

      AMS Classification:  76805,78M10   

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