A Lattice Boltzmann Formulation to the Analysis of Radiative Heat Transfer in a Participating Medium

A Lattice Boltzmann Formulation to the Analysis of Radiative Heat Transfer in a Participating Medium

Pietro Asinari^1,a, Subhash C. Mishra² and Romano Borchiellini^1,b

¹Department of Energetics, Politecnico di Torino, Turin 10129, Italy.

^apietro.asinari@polito.it ^bromano.borchiellini@polito.it

²Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India.

scm_iitg@yahoo.com

ABSTRACT

Usage of the lattice Boltzmann method (LBM) has been extended to analyze radiative transport problems in an absorbing, emitting and scattering participating medium. The present approach of the LBM for radiative heat transfer is similar to those being used in the fluid dynamics and heat transfer for the analyses of conduction and convection heat transfer problems. The LBM formulation has been tested by solving benchmark radiative transfer problems in 1-D and 2-D Cartesian geometry. Temperature and heat flux distributions have been obtained for a wide range of the values of the extinction coefficient. The LBM results have been compared against the results obtained from the finite volume method (FVM). A good comparison has been obtained.

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A Lattice Boltzmann Formulation to the Analysis of Radiative Heat Transfer in a Participating Medium

Pietro Asinari1,a, Subhash C. Mishra2 and Romano Borchiellini1,b

1Department of Energetics, Politecnico di Torino, Turin 10129, Italy.

2Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India.

ABSTRACT

Pietro Asinari^1,a, Subhash C. Mishra² and Romano Borchiellini^1,b

¹Department of Energetics, Politecnico di Torino, Turin 10129, Italy.

²Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India.