Lattice Boltzmann Method and Modified Discrete Ordinate Method Applied to Radiative Transport in a Spherical Medium with and without Conduction
- 29 November 2010
- journal article
- research article
- Published by Informa UK Limited in Numerical Heat Transfer, Part A: Applications
- Vol. 58 (11), 852-881
- https://doi.org/10.1080/10407782.2010.529028
Abstract
This article deals with the application of the modified discrete ordinate method (MDOM) to calculate volumetric radiative information with and without conduction in a concentric spherical enclosure containing a participating medium. With radiative information known from the MDOM, the energy equation of the combined mode transient conduction and radiation heat transfer is formulated and solved using the lattice Boltzmann method (LBM). Without conduction, for pure radiation case, two benchmark problems, representing nonradiative and radiative equilibrium situations are taken up. In the case of non-radiative equilibrium, an isothermal medium is bounded by cold walls and medium is the source of radiation, while in the case of radiative equilibrium, nonisothermal medium is confined between a hot and a cold wall, and the hot (inner sphere) wall is the radiation source. Depending upon the problem, heat flux, energy flow rate, emissive power, and temperature distributions in the medium are calculated for different values of parameters such as the extinction coefficient, the scattering albedo, the conduction-radiation parameter, the boundary emissivity, and the radius ratio. To validate the MDOM and the LBM-MDOM formulations, problems are also solved using the finite volume method (FVM) and the finite-difference method (FDM)–FVM approach, in which the FVM is used to calculate the volumetric radiation and the energy equation is also solved using the FDM. Results of the MDOM, LBM–MDOM, FVM and FDM–FVM are also benchmarked against those available in the literature. MDOM and LBM–MDOM have been found to provide accurate results.Keywords
This publication has 33 references indexed in Scilit:
- Prediction of radiative heat transfer between two concentric spherical enclosures with the finite volume methodInternational Journal of Heat and Mass Transfer, 2008
- Development and comparison of the DTM, the DOM and the FVM formulations for the short-pulse laser transport through a participating mediumInternational Journal of Heat and Mass Transfer, 2006
- Analysis of conduction–radiation problem in absorbing, emitting and anisotropically scattering media using the collapsed dimension methodInternational Journal of Heat and Mass Transfer, 2002
- MODIFICATION OF THE DISCRETE-ORDINATES METHOD IN AN AXISYMMETRIC CYLINDRICAL GEOMETRYNumerical Heat Transfer, Part B: Fundamentals, 1997
- AN INVERSE SOURCE PROBLEM IN RADIATIVE TRANSFER FOR SPHERICAL MEDIANumerical Heat Transfer, Part B: Fundamentals, 1997
- NONAXISYMMETRIC RADIATIVE TRANSFER IN CYLINDRICAL ENCLOSURESNumerical Heat Transfer, Part B: Fundamentals, 1996
- Improvements to the discrete transfer method of calculating radiative heat transferInternational Journal of Heat and Mass Transfer, 1995
- On coupled conductive-radiative heat-transfer problems in a sphereJournal of Quantitative Spectroscopy and Radiative Transfer, 1991
- A unified matrix formulation for the zone method: a stochastic approachInternational Journal of Heat and Mass Transfer, 1985
- Combined Conductive and Radiative Heat Transfer in an Absorbing, Emitting, and Scattering Cylindrical MediumJournal of Heat Transfer, 1982