Analysis of hyperbolic heat conduction in 1-D planar, cylindrical, and spherical geometry using the lattice Boltzmann method. (May 2016)

• Record Type: Journal Article
• Authors: Mishra, Subhash C.; Gullipalli, N.; Jain, A.; Barurah, A.; Mukherjee, A.
• Is Part Of: International communications in heat and mass transfer. Volume 74(2016:May)
• Page Start: 48
• Page End: 54
• Publication Date: 2016-05
• Subjects: Hyperbolic heat conduction -- Lattice Boltzmann method -- Constant heat flux -- Constant temperature and flux boundary conditions; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Heat -- Transmission; Mass transfer; Periodicals; 621.4022
• DOI: 10.1016/j.icheatmasstransfer.2016.02.015
• Languages: English
• ISSNs: 0735-1933

Abstract

Abstract: Analyses of hyperbolic heat conduction in an 1-D planar, cylindrical, and spherical geometry are analyzed using the lattice Boltzamnn method (LBM). Finite time lag between the imposition of temperature gradient and manifestation of heat flow causes the governing energy equation to be hyperbolic one. Temporal temperature distributions are analyzed for thermal perturbation of a boundary by suddenly raising its temperature and also by imposing a constant heat flux to it. Wave-like temperature distributions in the medium are obtained when constant temperature boundary condition is used. However, when constant heat flux boundary condition is used, temperature distribution fluctuates before it becomes stable. To check the accuracy of the LBM results, the problems are also solved using the finite difference method (FDM). LBM and FDM results compare exceedingly well. LBM has computational advantage over the FDM.