Numerical investigations of solidification around a circular cylinder under forced convection
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We present numerical investigations of solidification around a cooled circular cylinder in the presence of forced convection. The numerical method is based on the front-tracking/finite difference and interpolation techniques. The solidification interface is represented by connected elements that move on a fixed, rectangular grid. The no-slip and Dirichlet temperature boundary conditions are imposed by the linear interpolation. The interpolation method was first validated through comparisons of the present results with some other numerical results for flow in an annulus, flow in an enclose with a conduction solid body and flow over a heated cylinder. We then used the method to investigate the solidification process around a cold cylinder by varying various parameters such as the Reynolds number Re, the Prandtl number Pr, the Stefan number, the thermal conductivity ratio k sl , the non-dimensional temperature of the introduced liquid θ 0, and the solid-to-liquid density ratio ρ sl . Numerical results indicate that an increase in any of Re, Pr and θ 0 results in a decrease in the area of the solidification region around the cylinder. In contrast, increasing k sl increases the region of the solid phase. Investigation on St and ρ sl reveals that the solidification rate increases with an increase in St or a decrease in ρ sl . However, St and ρ sl have a minor effect on the final product of the solidification process.
KeywordsCircular cylinder Forced convection Front-tracking Linear interpolation Solidification
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