Solidification of a 2-D semitransparent medium using the lattice Boltzmann method and the finite volume method

Solving inverse problems of radiative heat transfer and phase change in semitransparent medium by using Improved Quantum Particle Swarm Optimization

“…(1) and assume that the thermophysical property of the particular region is constant and independent of time, Eq. (3) can be written as [28]:…”

Numerical analysis of solidification of a 3-D semitransparent medium in presence of volumetric radiation

“…Recently solidification problems have also been analyzed by the LBM [7][8][9]11,12,26]. Jiaung et al [26], Raj et al [7], Mishra et al [8] and Chatterjee and Chakraborty [9,11,12] have used the LBM to analyze phase change problems.…”

“…It has relevance in various engineering applications such as films used in solar energy, crystal growth, alloy processing, nuclear engineering and laser material processing [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Semitransparent materials such as oxides, fluorides and silicon find applications as single-and poly-crystals, glasses, ceramics, composites, etc.…”

“…In the presence of volumetric radiation, solidifications of 1-D planar and 2-D square geometries were analyzed by Raj et al [7] and Mishra et al [8]. In [7,8], the lattice Boltzmann method (LBM) * Corresponding author.…”

“…The discrete transfer method was applied to compute radiation information in case of a 1-D planar medium in [7]. In [8], in case of a 2-D square geometry, the finite volume method (FVM) was used to compute the radiative information.…”