Analysis of hyperbolic heat conduction in 1-D planar,cylindrical, and spherical geometry using the lattice Boltzmann method |
| |
| Affiliation: | 1. Group of Experimental and Computational Mechanics, University of Brasilia, Gama, 72.405-610, Brazil;2. College of Engineering, Design and Physical Science, Brunel University London, Uxbridge, UB8 3PH, UK;1. Department of Mechanical Engineering, National Chiao Tung University, Hsinchu 30010, Taiwan, ROC;2. Complex Phenomena Unified Simulation Research Team, Advanced Institute for Computation Science, RIKEN, Kobe 650-0047, Japan |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
