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Nonlinear L¥ Identifications for CH4-Air Combustion

Chuanyu Tan, Albert Y. Zomaya

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Abstract

A numerical scheme is proposed to predict complex chemical reactions aiming to obtain the moles of chemical products, reaction temperature and mixture density as a result of complex chemical reaction. First, by treating the calculation of complex chemical reaction as a typical identification problem, a nonlinear L, minimization technique can be used to predict the moles of dominant species in the chemical reaction by taking into account the conservation of energy, atoms, and ions in the reaction. Lastly, the predicted results are treated as the accurate set of initial guess for a numerical gradient method to extract the exact thermodynamic states or the state relationships of chemical reaction. The calculated state relationships are then employed to analyse the structure of turbulent diffusion flame by injecting methane gas at 300 OK into open air at 700 OK.

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What this paper is about

A numerical scheme is proposed to predict complex chemical reactions aiming to obtain the moles of chemical products, reaction temperature and mixture density as a result of complex chemical reaction. First, by treating the calculation of complex chemical reaction as a typical identification problem, a nonlinear L, minimization technique can be used to predict the moles of dominant species in the chemical reaction by taking into account the conservation of energy, atoms, and ions in the reaction. Lastly, the predicted results are treated as the accurate set of initial guess for a numerical gradient method to extract the exact thermodynamic states or the state relationships of chemical reaction. The calculated state relationships are then employed to analyse the structure of turbulent diffusion flame by injecting methane gas at 300 OK into open air at 700 OK.

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Available abstract

A numerical scheme is proposed to predict complex chemical reactions aiming to obtain the moles of chemical products, reaction temperature and mixture density as a result of complex chemical reaction. First, by treating the calculation of complex chemical reaction as a typical identification problem, a nonlinear L, minimization technique can be used to predict the moles of dominant species in the chemical reaction by taking into account the conservation of energy, atoms, and ions in the reaction. Lastly, the predicted results are treated as the accurate set of initial guess for a numerical gradient method to extract the exact thermodynamic states or the state relationships of chemical reaction. The calculated state relationships are then employed to analyse the structure of turbulent diffusion flame by injecting methane gas at 300 OK into open air at 700 OK.

Key concepts: Chemical reaction, Nonlinear system, Chemical species, Combustion, Thermodynamics, Chemistry, Chemical equation, Physical chemistry

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