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|Title:||Wavespeed analysis: approximating Arrhenius kinetics with step-function kinetics|
|Citation:||Combustion Theory and Modelling, 2008; 12(4):643-670|
|Publisher:||IOP Publishing Ltd|
|Sanjeeva Balasuriya and Vladimir A. Volpert|
|Abstract:||The accuracy of using step-function approximations to the Arrhenius exponential in computing the wavespeed in combustion wave propagation is investigated. Gaseous and gasless combustion, and first- and second-order reactions are included in the study. The theoretical analysis is based on Melnikov theory from dynamical systems. The error is shown to be small in most instances. The analytical results are supported with numerical simulations.|
|Keywords:||Arrhenius; combustion waves; Melnikov theory; step-function approximation; wavespeed|
|Rights:||© 2008 Taylor & Francis|
|Appears in Collections:||Mathematical Sciences publications|
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