Turbulence radiation interaction modeling in hydrocarbon pool fire simulations

Statistical modeling of thermal radiation transfer in buoyant turbulent diffusion flames

“…Numerical estimates of turbulent length scales given in [32] and its comparison with radiation mean path length support such an assumption. Alternatively, in the time averaged radiation emission, κI b , which is proportional to κT 4 , instant values of κ and T correlate in a turbulent flow.…”

“…Decomposition of the variables into the mean and fluctuating components followed by time averaging reveals several terms which require modeling [32]: temperature self correlation I b (T )/I b (T ), absorptiontemperature correlation κ I b /κ(T )I b (T ), and absorption-intensity correlation κ I . Similar to [8] (see also [32]) we assume that radiation is transmitted through turbulent eddies with a little change and that it is weakly affected by the local fluctuations of κ.…”

“…Similar to [8] (see also [32]) we assume that radiation is transmitted through turbulent eddies with a little change and that it is weakly affected by the local fluctuations of κ.…”

“…This might be particularly important in buoyant flames with high magnitude of turbulent fluctuations, such as those measured by Cox and Chitty [33] and by Gengembre et al [16], who found root mean square of the velocity and temperature fluctuations to be up to 50% of its average values. A number of works considered this problem, e.g., [8,32]. In this work we have applied a simplified approach, extending that used in [34], to account for the effect of temperature fluctuations on the radiation emission.…”

Importance of Turbulence-Radiation Interactions in Turbulent Diffusion Jet Flames

“…By employing the same method, this paper aims to check the importance of turbulence-radiation interactions, and the relative importance of the different contributions to TRI. Since the Planck function is the most nonlinear function in the radiation calculation, it has been hypothesized that consideration of the temperature self correlation alone can capture most of the TRI [14]. If this were the case, one could treat TRI with the traditional Reynolds average approach, constructing the first few higher moments of temperature.…”