Radiation Element Method Coupled with the Lattice Boltzmann Method Applied to the Analysis of Transient Conduction and Radiation Heat Transfer Problem with Heat Generation in a Participating Medium

This article deals with the implementation of the radiation element method (REM) with the lattice Boltzmann method (LBM) to solve a combined mode transient conduction-radiation problem. Radiative information computed using the REM is provided to the LBM solver. The planar conducting-radiating partic...

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Veröffentlicht in:Numerical heat transfer. Part A, Applications Jg. 57; H. 5; S. 346 - 368
Hauptverfasser: Sakurai, Atsushi, Mishra, Subhash C., Maruyama, Shigenao
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Philadelphia Taylor & Francis Group 09.03.2010
Taylor & Francis Ltd
Schlagworte:
Accuracy
Albedo
Boundaries
Conduction heating
Finite volume method
Heat conductivity
Heat generation
Heat transfer
Lattices
Mathematical analysis
Mathematical models
Radiation
Temperature
ISSN:1040-7782, 1521-0634
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Zusammenfassung:This article deals with the implementation of the radiation element method (REM) with the lattice Boltzmann method (LBM) to solve a combined mode transient conduction-radiation problem. Radiative information computed using the REM is provided to the LBM solver. The planar conducting-radiating participating medium is contained between diffuse gray boundaries, and the system may contain a volumetric heat generation source. Temperature and heat flux distributions in the medium are studied for different values of parameters such as the extinction coefficient, the scattering albedo, the conduction-radiation parameter, the emissivity of the boundaries, and the heat generation rate. To check the accuracy of the results, the problem is also solved using the finite-volume method (FVM) in conjunction with the LBM. In this case, the data for radiation field are calculated using the FVM. The REM has been found to be compatible with the LBM, and in all the cases, results of the LBM-REM and the LBM-FVM have been found to provide an excellent comparison.
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ISSN:1040-7782
1521-0634
DOI:10.1080/10407780903583008