This paper studies two-step exothermic reactions with and without reactants consumption subject to Arrhenius
kinetics model. The resulting system of equations modelling the physical problem is coupled non-linear ordinary
differential equations. Analytical investigations are possible based on some classical Frank-Kamenetskii criteria.
Exact analytical expressions are derived for temperatures and ignition times based on the assumption of without
reactants consumption. Thereafter, the entire system of equations is solved numerically to account for effect of
various dimensionless parameters with reactants consumption. The numerical solutions, graphs and the statistical
measures of skewness and kurtosis for dimensionless concentrations? and ? , and temperature ? profiles are
presented in this work.
Keywords: Two-step Arrhenius kinetics, reactant consumption, analytical expressions, skewness and
kurtosis measures.
PAPER TITLE :MATHEMATICAL MODELLING OF TWO-STEP EXOTHERMIC REACTIONS WITH AND WITHOUT REACTANTS CONSUMPTION
FUTA JOURNAL OF RESEARCH IN SCIENCE | VOLUME 9 NUMBER 1 2013
Paper Details
- Author(s) : 1O.S. Makinde, K.S. Adegbie and O. A. Fasoranbaku
- Abstract:
