Models for description of subsonic flows with premixed turbulent combustion in channels

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Abstract

The review of works on numerical modeling of turbulent combustion is presented. The article presents the discussion about three classes of models, which are necessary for closure of mathematical model of flow (turbulence model, model of chemical kinetics, model of turbulence combustion interaction). The description of mathematical approach for modeling of subsonic flows with premixed turbulent combustion in channels within Reynolds equations with closure based on k–ω turbulence models is provided. Various models of turbulent combustion interaction based on PaSR (Partially Stirred Reactor) – quasi-steady models PaSR and PFR, and also model with memory effects EPaSR. The new model for influence of combustion on turbulent heat and mass transfer intensity – variable turbulent Prandtl and Schmidt model, compatible with turbulence models and PaSR based turbulence combustion interaction models. The appendix includes the description of differential model for turbulent scalar flux, which was a priori calibrated against DNS database of turbulent Rayleigh–Taylor flow.

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About the authors

V. V. Vlasenko

TsAGI; MIPT

Author for correspondence.
Email: vlasenko.vv@yandex.ru
Russian Federation, Zhukovsky; Dolgoprudny

R. A. Balabanov

TsAGI; MIPT

Email: vlasenko.vv@yandex.ru
Russian Federation, Zhukovsky; Dolgoprudny

Wencha Liu

MIPT

Email: vlasenko.vv@yandex.ru
Russian Federation, Dolgoprudny

S. S. Molev

TsAGI

Email: vlasenko.vv@yandex.ru
Russian Federation, Zhukovsky

V. A. Sabelnikov

TsAGI

Email: vlasenko.vv@yandex.ru
Russian Federation, Zhukovsky

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