Math. Model. Nat. Phenom.
Volume 13, Number 6, 2018
Mathematical modelling in combustion sciences
|Number of page(s)||10|
|Published online||12 October 2018|
Determination of global kinetic parameters by optimization procedure using burning velocity measurements ★
School of Natural Sciences, Far Eastern Federal University,
2 Institute for Applied Mathematics FEB RAS, Vladivostok 690041, Russia
3 Engineering School, Far Eastern Federal University, Vladivostok 690950, Russia
4 KTC Consulting, Gaithersburg, MD 20878, USA
* Corresponding author: firstname.lastname@example.org
Accepted: 26 June 2018
The optimization procedure was developed to derive the global kinetic parameters using experimental dependence of burning velocity on the equivalence ratio. The simple model of laminar premixed flame propagation with assumed constant parameters was used to demonstrate the features of the suggested procedure. The suggested method allows finding optimal parameters for the defined functional dependence of the reaction rate on the temperature and reactant concentrations. The dependence of combustion adiabatic temperature on equivalence ratio is assumed to be known from the flame equilibrium calculations. The global kinetic parameters of combustion reaction were determined for methane, ethylene and propane mixtures with air on the basis of experimental data on burning velocity as function of the equivalence ratio. The calculated overall kinetic parameters are compared with parameters obtained by other methods within similar global model.
Mathematics Subject Classification: 80A25 / 80A23
Key words: Global kinetic parameters / Global kinetic model / Optimization method / Burning velocity / Dependence on the equivalence ratio / Combustion reaction / Overall kinetic parameters
© 2018, EDP Sciences
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