Abstract
In this work, natural convection melting in a cubic cavity with an internal cylindrical heat source is studied numerically by employing the two-relaxation-time lattice Boltzmann (LB) method. In numerical simulations, natural convective melting of pure Gallium in a three-dimensional enclosure is first considered to validate the present LB model. Then, effects of some key parameters, including the thermal boundary conditions at the walls of the outer enclosure, the location and the placement direction of the inner cylinder are numerically studied and analyzed. It is found that the full melting time obtained for the case of the constant temperature boundary condition is larger than that obtained for the case of the adiabatic boundary condition. In addition, the variation of the location of the inner cylinder plays an essential role in full melting time, and when the inner cylinder is located at the center of the cavity, the full melting time obtained in such a case is always smaller than the other cases. Further, the streamlines as well as the distributions of the temperature obtained for different conditions are also presented and discussed.
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