scholarly journals Benchmark Solutions of Three-Dimensional Radiative Transfer in Nongray Media Using Line-by-Line Integration

2020 ◽  
Vol 142 (3) ◽  
Author(s):  
Guilherme C. Fraga ◽  
Hadi Bordbar ◽  
Simo Hostikka ◽  
Francis H. R. França
Keyword(s):  
Radiative Transfer ◽  
Radiative Heat ◽  
Pure Water ◽  
Three Dimensional ◽  
Quality Analysis ◽  
Gas Radiation ◽  
Mesh Independence ◽  
Spectroscopic Database ◽  
Volume Method ◽  
Benchmark Solutions

Abstract Nongray gas radiation calculations are conducted for four three-dimensional benchmarks using line-by-line (LBL) integration with the up-to-date high-resolution spectroscopic database HITEMP 2010. The radiative transfer equation (RTE) is solved using the finite volume method (FVM) over each wavenumber interval of the spectrum. A detailed mesh quality analysis assured the mesh independence of the solution. Accurate results for distributions of volumetric radiative heat source term and wall radiative heat flux are provided for four cases: (i) an isothermal pure water vapor medium at 1000 K; (ii) an isothermal and nonhomogeneous H2O–N2 mixture at 1000 K; (iii) a nonisothermal and homogeneous CO2–H2O–N2 mixture; and (iv) a nonisothermal and nonhomogeneous CO2–H2O–N2 mixture. These data can be useful to assess the accuracy of gas radiative property models.

scholarly journals Numerical Solutions of Three-Dimensional Non-Grey Gas Radiative Transfer Using the Statistical Narrow-Band Model

1999 ◽  
Vol 121 (1) ◽  
pp. 200-203 ◽  
Author(s):  
F. Liu
Keyword(s):  
Radiative Transfer ◽  
Numerical Solutions ◽  
Radiative Transfer Equation ◽  
Narrow Band ◽  
Pure Water ◽  
Three Dimensional ◽  
Band Model ◽  
Real Gas ◽  
Gas Radiation ◽  
Narrow Band Model

Three-dimensional non-grey gas radiation analyses were conducted using the statistical narrow-band model along with up-dated band parameters. The exact narrow-band averaged radiative transfer equation was solved using a ray-tracing method. Accurate numerical results were presented for non-grey real gas radiative transfer in a three-dimensional rectangular enclosure containing (i) an isothermal pure water vapor at 1000 K and 1 atm, (ii) an isothermal and inhomogeneous H2O/N2 mixture at 1000 K and 1 atm, and (iii) a nonisothermal and homogeneous mixture of CO2/H2O/N2 at 1 atm.

Transient Radiative Transfer of Light Pulse Propagation in Three-Dimensional Scattering Media With Finite Volume Method and Integral Equation Model

2003 ◽  
Author(s):  
Xiaodong Lu ◽  
Pei-Feng Hsu ◽  
John C. Chai
Keyword(s):  
Integral Equation ◽  
Radiative Transfer ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Light Pulse ◽  
Three Dimensional ◽  
Equation Model ◽  
Isotropic Scattering ◽  
Scattering Media ◽  
Volume Method

The transient radiative transfer process is studied with a finite volume method (FVM) and an integral equation (IE) model. Propagation of a short light pulse in the three-dimensional absorbing and isotropic scattering media is considered. Collimated irradiation enters at one side of the rectangular medium. The other five boundaries are cold and black, nonparticipating surfaces. The spatial and temporal distributions of the integrated intensity and radiative flux are obtained.

Transient Radiation Element Method for Three-Dimensional Scattering, Absorbing, and Emitting Media

2001 ◽  
Author(s):  
Zhixiong Guo ◽  
Sunil Kumar ◽  
Shigenao Maruyama
Keyword(s):  
Radiative Transfer ◽  
Transient Analysis ◽  
Radiative Heat ◽  
Three Dimensional ◽  
The Media ◽  
Emitting Media ◽  
Inhomogeneous Properties ◽  
First Time ◽  
Good Agreement ◽  
Element Method

Abstract In this study transient radiative heat transfer is investigated in scattering, absorbing, and emitting media. The radiation element method is formulated for the first time to solve the transient radiative transfer equation in 3-D geometries. The sensitivity and accuracy of the method are examined. A good agreement of temporal transmittance predicted by the present method and Monte Carlo method is found. The characteristics of transient analysis are investigated via various problems of radiative transfer in inhomogeneous cubes. It is found that the transmitted signals are strongly affected by the inhomogeneous properties of the media through which the radiation has passed. In the position where the radiation travels a larger optical thickness, the broadening of the transmitted pulse width is more obvious and the magnitude of the transmittance is smaller.

A Methodology to Solve 2D and Axisymmetric Radiative Transfer Problems Using a General 3D Solver

2013 ◽  
Vol 135 (12) ◽  
Author(s):  
P. Kumar ◽  
V. Eswaran
Keyword(s):  
Radiative Transfer ◽  
Radiative Transfer Equation ◽  
Three Dimensional ◽  
Special Treatment ◽  
Dimensional Problem ◽  
Scattering Media ◽  
Special Cases ◽  
Axisymmetric Problems ◽  
Transfer Problems ◽  
Benchmark Solutions

A method to solve the radiative transfer equation (RTE) for absorbing-emitting and/or scattering media for 2-D and axisymmetric geometries using a general 3-D solver with a special treatment of the boundary condition in the third direction is presented. It allows a choice of first- or second- order schemes and can be used with non-orthogonal hexahedral grids for complex domains. Two-dimensional or axisymmetric problems are treated as different special cases of a three-dimensional problem. The method is tested on axisymmetric problems with absorbing-emitting and/or scattering media and on a 2D planar problem with a transparent medium and validated by comparisons with benchmark solutions.

scholarly journals Comparison of Two Models for Radiative Heat Transfer in High Temperature Thermal Plasmas

2011 ◽  
Vol 2011 ◽  
pp. 1-7 ◽  
Author(s):  
Matthieu Melot ◽  
Jean-Yves Trépanier ◽  
Ricardo Camarero ◽  
Eddy Petro
Keyword(s):  
High Temperature ◽  
Radiative Transfer ◽  
Radiative Heat ◽  
Critical Role ◽  
Critical Evaluation ◽  
Thermal Plasmas ◽  
Test Cases ◽  
Circuit Breakers ◽  
Cfd Simulations ◽  
Volume Method

Numerical simulation of the arc-flow interaction in high-voltage circuit breakers requires a radiation model capable of handling high-temperature participating thermal plasmas. The modeling of the radiative transfer plays a critical role in the overall accuracy of such CFD simulations. As a result of the increase of computational power, CPU intensive methods based on the radiative transfer equation, leading to more accurate results, are now becoming attractive alternatives to current approximate models. In this paper, the predictive capabilities of the finite volume method (RTE-FVM) and the P1 model are investigated. A systematic comparison between these two models and analytical solutions are presented for a variety of relevant test cases. Two implementations of each approach are compared, and a critical evaluation is presented.

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