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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Numerical Solution For Frank-Kamenetskii And Activation Energy Parameters in Reactive-Diffusive Equation with Variable One-Exponential Factor

O. K. Koriko and A. J. Omowaye

Abstract

In this study, we considered a steady state, exothermic chemical reaction, taking the diffusion of the reactant into account and assuming an Arrhenius temperature dependence with variable pre-exponent factor. Numerical solution is constructed for the governing nonlinear boundary value problem using finite difference scheme .The effect of Frank-Kamenetskii, activation energy parameter and pre-exponent factor on the temperature were also examined, result were displayed in graphs.

Journal of Mathematics and Statistics
Volume 3 No. 4, 2007, 233-236

DOI: https://doi.org/10.3844/jmssp.2007.233.236

Submitted On: 2 July 2007 Published On: 31 December 2007

How to Cite: Koriko, O. K. & Omowaye, A. J. (2007). Numerical Solution For Frank-Kamenetskii And Activation Energy Parameters in Reactive-Diffusive Equation with Variable One-Exponential Factor. Journal of Mathematics and Statistics, 3(4), 233-236. https://doi.org/10.3844/jmssp.2007.233.236

Open AccessCopyright: © 2007 O. K. Koriko and A. J. Omowaye. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Numerical solution
  • arrhenius kinetics
  • pre-exponent factor
  • existence and uniqueness
  • exothermic