Analysis of Transient Conduction and Radiation Heat Transfer with Heat Generation Using the Lattice Boltzmann Method and the Radiation Element Method
Atsushi Sakurai1, Subhash C. Mishra2 and Shigenao Maruyama3
1Department of Mechanical and Production Engineering, Niigata University, 8050, Ikarashi 2-no-cho, Niigata-city 950-2181, Japan.
2Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India,
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3Institute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan.
ABSTRACT
This article deals with the implementation of the radiation element method (REM) with the lattice Boltzmann method (LBM) to solve a combined mode transient conductionradiation problem. Radiative information computed using the REM is provided to the LBM solver. The planar conductingradiating participating medium is contained between diffuse gray boundaries, and a uniform volumetric heat generation source may remain present in the system. Temperature and heat flux distributions in the medium are studied for different values of the parameters such as the extinction coefficient, the scattering albedo, the conduction-radiation parameter, the emissivity of the boundaries and 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. In all the cases, results of the LBM-REM and LBM-FVM have been found to provide excellent comparison.
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