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Research Papers

Turbulence–Radiation Interaction: From Theory to Application in Numerical Simulations

[+] Author and Article Information
Pedro J. Coelho

Mechanical Engineering Department, IDMEC, Instituto Superior Técnico,  Technical University of Lisbon, 1049-001 Lisboa, Portugalpedro.coelho@ist.utl.pt

J. Heat Transfer 134(3), 031001 (Jan 09, 2012) (13 pages) doi:10.1115/1.4005130 History: Received July 09, 2010; Revised August 12, 2010; Published January 09, 2012; Online January 09, 2012

Theoretical analysis and experimental investigations have shown that the mean heat fluxes in turbulent gaseous flows are influenced not only by the mean scalar fields (temperature and molar fraction of the species) but also by the scalar fluctuations. It is widely recognized that the increase of radiative fluxes in comparison with laminar flows may exceed 100%. This interaction between turbulence and radiation is mainly due to the nonlinearity between radiative emission and temperature. It is particularly important in reactive flows, since temperature fluctuations are typically higher in these flows than in nonreactive ones. In this paper, a survey of the theory concerning turbulence–radiation interaction (TRI) is presented, along with applications in numerical simulations. We first present experimental and theoretical fundamentals on TRI. Then, direct numerical simulation and stochastic methods are addressed. Although they provide reliable information on TRI, they are too computationally demanding for practical applications. We will then focus on methods based on the solution of the time-averaged form of the conservation equations. Although many different approaches are available, we will concentrate on two methods. One is based on the solution of the time-averaged form of the radiative transfer equation using the optically thin fluctuation approximation and a combustion model based on a prescribed probability density function (pdf) approach. The second one is based on the photon Monte Carlo method for radiative transfer calculations in media represented by discrete particle fields and a combustion model based on the Monte Carlo solution of the transport equation for the joint pdf of scalars. Finally, the role of TRI in large eddy simulation is discussed, and the main consequences of TRI in combustion systems are summarized.

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Copyright © 2012 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Influence of turbulent scalar fluctuations on the absorption coefficient, blackbody radiation intensity, absorption coefficient-blackbody radiation intensity correlation, and radiative emission as a function of mixture fraction. The dashed line indicates a change in scale.

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