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Within the evaluation of the heat transfer downstream a quench front during the reflood phase of a Loss of Coolant Accident (LOCA) in a nuclear power plant, a numerical study has been conducted on radiative transfer through a vapor–droplet medium. The non-grey behavior of the medium is obvious since it can be optically thin or thick depending on the wavelength. A six wide bands model has been tested,...
In this study, we present a Monte Carlo inversion procedure dedicated to the determination of particle size and density from extinction measurements. In order to check the validity of the method, a ray tracing code able to calculate the exact extinction coefficient for a given particle size distribution was developed. The inversion method was then applied to this numerically obtained results in order...
Databases of the absorption line blackbody distribution function (ALBDF) of CO 2 and H 2 O were generated over a wide range of gas and blackbody temperatures and the full range of gas concentration from line-by-line (LBL) calculations using the latest version of HITEMP. Proper orthogonal decomposition (POD) and the hyperbolic correlations (HC) were then used for rapid calculation the...
The cumulative wavenumber method for solution of the spectral radiative transfer problems in high temperature gases is extended to account for non-gray walls. The proposed efficient CW-1 method with optimized step-wise constant representation of the wall spectral properties is an attempt to minimize the number of equations requiring solution while preserving reasonable accuracy. The influence of spectral...
Based on the superposition principle, we propose in this study a Monte Carlo (MC) formulation for radiative transfer in quasi-isothermal media which consists in directly computing the difference between the actual radiative field and the equilibrium radiative field at the minimum temperature in the medium. This shift formulation is implemented for the prediction of radiative fluxes and volumetric...
The absorption line blackbody distribution function (ALBDF) was developed for use in global methods such as the SLW and FSK models that integrate the radiative transfer equation over the absorption coefficient rather than wavenumber. A widely used method of representing the ALBDF efficiently is a correlation in the form of a hyperbolic tangent function originally proposed by Denison and Webb. This...
The present text illustrates the practice of integral formulation, zero-variance approaches and sensitivity evaluations in the field of radiative transfer Monte Carlo simulation, as well as the practical implementation of the corresponding algorithms, for such realistic systems as photobioreactors involving spectral integration, multiple scattering and complex geometries. We try to argue that even...
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