TY  - JOUR
T1  - A Note on a Two-Step Reactive-Diffusive Equation with Variable Pre-Exponential Factor
AU - , Olanrewaju Philip Oladapo 
JO  - Research Journal of Applied Sciences
VL  - 2
IS  - 6
SP  - 733
EP  - 736
PY  - 2007
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2007.733.736
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2007.733.736
KW  - Exothermic chemical reaction
KW  -variable pre-exponential factor
KW  -two-step
KW  -arrhenius reactions
AB  - To study the steady-state solutions for the exothermic chemical reactions (two-step Arrhenius reactions), taking the diffusion of the reactions in a slab into account and assuming an Arrhenius dependence with variable pre-exponential factor to determine the effects of Frank-Kamenetskii parameter and some thermo physical properties on temperature of a giving system. Steady state energy equation was transformed to non-dimensional form. Numerical solutions of the resulting equation  were done by the use of shooting method. We discovered that there are certain values for n, m, r and   can accommodation for solution to be stable. Similarly, Frank-Kamenetskii parameter  <SUB>1</SUB>,  <SUB>2</SUB> must not exceed some values for the solution to exist and at the same time stable. Finally, the Frank-Kamenetskii parameter must not exceed the critical value for the solution to have physical implication or application and r must not be large for convergence of the solution (i.e., r< 1). The results of this study will serve as baseline information to combustion engineering in designing combustion equipments or manufacturing of chemical to aid complete combustion reactions and to burn fuel more efficiently to avoid knocking of engines.
ER  -