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

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Keywords

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