Numerical Study of Non-Fourier Conduction with Variable Thermal Conductivity Using Lattice Boltzmann Method

چکیده مقاله

In the present work, implementation of the lattice Boltzmann method (LBM) is considered for the analysis of non-Fourier heat conduction in 2-D geometry with temperature-dependent thermal conductivity. Evolution of the wave like temperature distributions in the medium is obtained. Also temperature distribution along some parts in the plate, for both having heat generation and having constant thermal conductivity, is obtained and compared with each other. The LBM results are validated against those available in the literature. Results of the LBM are in excellent agreement with those reported in the literature. In addition, the temperature contours at four different times from the first to achieve steady state condition have been analyzed. Results show that, duo to increase thermal conductivity with rising of temperature and so high ability of material for transferring of heat energy, temperature gradient decreases compared with the state that plate has constant thermal conductivity.