Abstract
CT The influence of variable pre-exponential factor on the ignition time of a system of homogeneous three step reaction mechanism is investigated. Based on simple numerical analysis, it is shown that for the ignition time over a broad range of realistic constant, the variation of pre-exponential factor leads to significant departure from the Arrhenius case. Also the effect of different values for some fixed exponents are depicted graphically. In addition, we consider the ignition time for a two reactions steps in the limit of large activation energy and we obtain the solution in series form. This result is compared with the numerical solution and results are in good agreement with existing result.
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