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Autoignition of hydrocarbons in a batch reactor: Analysis of a reduced model

Journal Article


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Abstract


  • n the late 1960s Gray and Yang developed the first reduced kinetic model for the oxidation of hydrocarbon fuels that qualitatively described many features observed experimentally. Since then a number of reduced kinetic models have been proposed in the literature. In this contribution we analyse the steady-state behaviour of one such scheme. The chemical component of the model contains four chemical species undergoing six reactions. By making a pool-chemical approximation this system is reduced to three coupled non-linear differential equations: a temperature equation and equations for two reactive chemical intermediates. It is shown that any steady-state solution of this model having a steady-state temperature greater than 420 (K) is non-physical as the steady-state concentration of the chemical species are negative. Hence this particular scheme does not simulate closed-vessel experiments and is defective as an extension of the Gray-Yang model.

Publication Date


  • 2008

Citation


  • Nelson, M. I. & Balakrishnan, E. (2008). Autoignition of hydrocarbons in a batch reactor: Analysis of a reduced model. Applied Mathematics Letters, 21 (8), 866-871.

Scopus Eid


  • 2-s2.0-44949165595

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2696&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1676

Number Of Pages


  • 5

Start Page


  • 866

End Page


  • 871

Volume


  • 21

Issue


  • 8

Place Of Publication


  • http://www.sciencedirect.com/science/journal/08939659

Abstract


  • n the late 1960s Gray and Yang developed the first reduced kinetic model for the oxidation of hydrocarbon fuels that qualitatively described many features observed experimentally. Since then a number of reduced kinetic models have been proposed in the literature. In this contribution we analyse the steady-state behaviour of one such scheme. The chemical component of the model contains four chemical species undergoing six reactions. By making a pool-chemical approximation this system is reduced to three coupled non-linear differential equations: a temperature equation and equations for two reactive chemical intermediates. It is shown that any steady-state solution of this model having a steady-state temperature greater than 420 (K) is non-physical as the steady-state concentration of the chemical species are negative. Hence this particular scheme does not simulate closed-vessel experiments and is defective as an extension of the Gray-Yang model.

Publication Date


  • 2008

Citation


  • Nelson, M. I. & Balakrishnan, E. (2008). Autoignition of hydrocarbons in a batch reactor: Analysis of a reduced model. Applied Mathematics Letters, 21 (8), 866-871.

Scopus Eid


  • 2-s2.0-44949165595

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2696&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1676

Number Of Pages


  • 5

Start Page


  • 866

End Page


  • 871

Volume


  • 21

Issue


  • 8

Place Of Publication


  • http://www.sciencedirect.com/science/journal/08939659