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Modélisation des transferts radiatifs dans les flammes turbulentes par une méthode de Monte Carlo

Abstract : A new numerical tool, designed to calculate radiative transfer in combustion chambers, has been developed. The radiative transfer equation is solved stochastically by three different approaches of the Monte Carlo method: a conventional forward formulation and two original approaches based on the reciprocity principle, considered from both points of view of the reverse path and the exchanged power. In order to reduce the variance of the results, absorption is calculated in a deterministic way. Gas radiative properties are treated in a correlated manner by a CK model. Validation calculations, in non-scattering or scattering media, have shown that the conventional approach is the most suitable for optically thin or semi-transparent media characterized by large differences in temperature whereas the two other methods are the most suitable for optically thick or nearly isothermal media. The results given by the three approaches are obtained simultaneously with only one calculation. In terms of computation time, it is not more expensive to obtain the results from the three methods than to obtain the results from only one given approach. The optimal solution consists in choosing the best of the three results for each mesh. Turbulence/radiation interaction modeling is based on the division of an optical path into a succession of independent coherent turbulent structures supposed to be homogeneous and isothermal. The structure size is equal to the turbulence integral length scale. This model has been applied to a sooty diffusion turbulent flame. The use of this model leads to a relative homogenization of the volumic radiative power field and to a 37% increase of the total radiative loss of the flame. The soot contribution to this loss is equal to 65%. The coherent turbulent structure size and the constant of the soot absorption coefficient have an important influence on this loss.
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Lionel Tessé. Modélisation des transferts radiatifs dans les flammes turbulentes par une méthode de Monte Carlo. Thermique [physics.class-ph]. Ecole Centrale Paris, 2001. Français. ⟨tel-02104983⟩

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