Two-dimensional nonstationary causal stochastic model for turbulence/radiation interactions in flames

Conference · Sat Dec 31 04:00:00 EST 1994

OSTI ID:93262

Chan, S H; Pan, X C; Zhang, J ^[1]

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1. Univ. of Wisconsin, Milwaukee, WI (United States). Dept. of Mechanical Engineering

A new stochastic method is presented to treat turbulence/radiation interactions. In order to simulate the random field of instantaneous mixture fraction distributions along the radiation path, a two-dimensional (2D) nonstationary causal stochastic model is proposed. The model can account for not only the first-order correlations both in time space and geometric space but also the first-order cross correlation. Also presented is a general proof that in the simulation of the mixture fraction, the contributions from the first-order correlations in time and geometric spaces are important and so is the contribution from the first-order time-geometric space cross correlation. Furthermore, the second- and higher order correlation terms are proved to be negligibly small. They provide the foundation of the general development of the present two-dimensional and future three-dimensional stochastic models for turbulence-radiation interactions. Finally, application of the proposed two-dimensional causal model to simulate the radiation process in turbulent carbon monoxide/hydrogen/air flames is illustrated. The predicted mean and fluctuating radiation properties are found to be in good agreement with experimental data.

• OSTI ID: 93262
• Report Number(s): CONF-940711--
• Country of Publication: United States
• Language: English

Related Subjects

10 SYNTHETIC FUELS
40 CHEMISTRY
COMBUSTION KINETICS
EQUATIONS
FLAMES
MATHEMATICAL MODELS
RADIANT HEAT TRANSFER
SYNTHESIS GAS
TURBULENT FLOW
TWO-DIMENSIONAL CALCULATIONS