scholarly journals Unified gas kinetic schemes for the radiation transfer equations

2021 ◽  
Vol 51 (6) ◽  
pp. 799
Author(s):  
Jiang Song ◽  
Xu Kun ◽  
Sun Wenjun ◽  
Xu Xiaojing
2020 ◽  
Vol 53 (5) ◽  
pp. 1236-1242
Author(s):  
Stanislav Stoupin

The X-ray scattering power of a plane parallel homogeneous slab of material is derived using radiation intensity transfer equations. The scattering power scales with the ratio of the scattering coefficient of interest to the total attenuation coefficient. The results can be used to guide the choice of slab thickness, scattering geometry and photon energy to maximize the scattering power in both elastic and inelastic X-ray scattering experiments.


1976 ◽  
Vol 78 (1) ◽  
pp. 65-85 ◽  
Author(s):  
D. W. Larson ◽  
R. Viskanta

The mass, momentum and energy-transfer equations are solved to determine the response of a rectangular enclosure to a fire or other high-temperature heat source. The effects of non-participating radiation, wall heat conduction, and laminar natural convection are examined. The results indicate that radiation dominates the heat transfer in the enclosure and alters the convective flow patterns significantly. At a dimensionless time of 5·0 the surface of the wall opposite a vertical heated wall has achieved over 99% of the hot-wall temperature when radiation is included but has yet to change from the initial temperature for pure convection in the enclosure. At the same time the air at the centre of the enclosure achieves 33% and 13% of the hot-wall temperature with and without radiation, respectively. For a hot upper wall the convection velocities are not only opposite in direction but an order of magnitude larger when radiation transfer between the walls is included.


2021 ◽  
pp. 1-26
Author(s):  
Marat Shamilevich Potashov ◽  
Petr Valerievich Baklanov ◽  
Sergei Ivanovich Blinnikov

The observed supernova broadband light curves serve as an extensive source of information about the physics of presupernovae and about the processes taking place during supernova outbursts. Their modeling requires complex calculations using radiation-hydrodynamic codes. The paper proposes to modify the STELLA radiation-hydrodynamic code to take into account NLTE (local thermodynamic equilibrium) effects in the calculation of supernova light curves. The paper provides a theoretical justification for the need to take into account the effects of NLTE when calculating the level number densities of multicharged plasma in a supernova envelope. A modification of equations of time-dependent radiation transfer and the equation of gas energy to take into account the NLTE effects is described. Various methods of mean opacity coefficients in the expanding envelope of supernovae are analyzed.


Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 461 ◽  
Author(s):  
Shiquan Shan ◽  
Zhijun Zhou

This study combines the radiation transfer process with the thermodynamic second law to achieve more accurate results for the energy quality and its variability in the spectral radiation transfer process. First, the core ideas of the monochromatic photon exergy theory based on the equivalent temperature and the infinite-staged Carnot model are reviewed and discussed. Next, this theory is combined with the radiation transfer equation and thus the spectral radiative entropy and the radiative exergy transfer equations are established and verified based on the second law of thermodynamics. Finally, one-dimensional furnace case calculations are performed to determine the applicability to engineering applications. It is found that the distribution and variability of the spectral radiative exergy flux in the radiation transfer process can be obtained using numerical calculations and the scatter media could slightly improve the proportion of short-wavelength radiative exergy during the radiation transfer process. This has application value for research on flame energy spectrum-splitting conversion systems.


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