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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 55, 2008 - Issue 1
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Original Articles

Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method

Bittagopal Mondal Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India
&
Subhash C. Mishra Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, IndiaCorrespondence[email protected]
Pages 18-41 | Received 25 Apr 2008, Accepted 17 Oct 2008, Published online: 22 Dec 2008
 
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Abstract

This article deals with the application of the lattice Boltzmann method (LBM) to the analysis of natural convection in the presence of volumetric radiation in a square cavity containing an absorbing, emitting, and scattering medium. Separate particle distribution functions in the LBM are used to calculate the density and velocity fields and the thermal field. The radiative term of the energy equation is computed using the finite-volume method. Streamlines, isotherms, and Nusselt number are analyzed for the effects of different parameters such as Rayleigh number, convection-radiation parameter, extinction coefficient, and scattering albedo.

Acknowledgments

The lead author (BM) gratefully acknowledges useful discussions with H. N. Dixit.

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