Numerical Heat Transfer · 1985 · 80 citations · 15 references
EngineeringMaterials EngineeringMaterials ScienceComputational Heat TransferHeat TransferSolidificationAlloy SolidificationFinite Difference MethodsHeat Transfer AnalysisHeat Transfer In SolidificationHeat Transfer ModelingPhase Transition AnalysisFinite Difference AnalysisHeat CapacityLatent HeatLatent Heat TransferLinear InterpolationMeltingNumerical Simulation Of SolidificationNumerical Simulation Of Solidification Heat Transfer
A simple algorithm incorporating the equivalent heat capacity model is described for the finite-difference heat transfer analysis involving melting and solidification. The latent heat of fusion is accounted for by using a linear interpolation of the nodal temperatures. Numerical solutions of both one- and two-dimensional phase change problems are presented. This scheme is insensitive to the magnitude of the temperature interval 2 AT assumed for phase transition to take place. Therefore, a very small (or zero) or large temperature interval 2AT can be used to properly simulate the fusion of a pure material or an alloy, respectively. The present algorithm can also be extended to the three-dimensional phase change problem
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Numerical solution of phase-change problems
C. Bonacina, G. Comini, Antonio Fasano et al. · International Journal of Heat and Mass Transfer · 1973 · 597 citations