Prandtl number effect on melting dominated by natural convection
In a recent paper, D. Gobin and C. Benard considered the task of correlating the heat transfer data for melting in the presence of natural convection when the Prandtl (Pr) number value of the liquid phase is considerably smaller than one. These authors conclude that: 1) The relevance of the group (RaPr) is not verified by their numerical results for convection-dominated meltin, and 2) Further work is required to determine the scaling laws that govern the transition from the initial (conduction) regime to the final (convection) regime of the process of melting by side heating. These two conclusions defined the work presented in this paper. In it the authors report the correct scales of natural convection melting when the Prandtl number is small. The authors then construct a scaling-correct heat transfer correlation that spans the entire range of Prandtl numbers.