### Abstract

In 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 concentrations 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.

Original language | English |
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Pages (from-to) | 866-871 |

Number of pages | 6 |

Journal | Applied Mathematics Letters |

Volume | 21 |

Issue number | 8 |

DOIs | |

Publication status | Published - Aug 2008 |

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### Keywords

- Autoignition
- Batch reactor
- Reduced kinetic model

### ASJC Scopus subject areas

- Computational Mechanics
- Control and Systems Engineering
- Applied Mathematics
- Numerical Analysis

### Cite this

*Applied Mathematics Letters*,

*21*(8), 866-871. https://doi.org/10.1016/j.aml.2007.08.014