An efficient algorithm for finite difference analyses of heat transfer with melting and solidification
Abstract
A simple algorithm incorporating with the equivalent heatcapacity model is described for the finitedifference heattransfer analysis with phase change. The specific heats associated to those nodes adjacent to the fusion front are determined using a linear interpolation of nodal temperatures to properly account for the latent heat effect. Numerical results for both onedimensional and twodimensional problems are in good agreement with those existing in the literature. This scheme is proven to be insensitive to the selection of temperature interval 2 delta T assumed for phase change to take place. Therefore, very small or large temperature interval 2 delta T can be used to properly simulate the fusion of pure metal or alloy, respectively. The present algorithm also could be extended to a threedimensional phase change problem and other nonlinear heatconduction analyses.
 Publication:

American Society of Mechanical Engineers
 Pub Date:
 December 1984
 Bibcode:
 1984asme.meetS....H
 Keywords:

 Conductive Heat Transfer;
 Finite Difference Theory;
 Phase Transformations;
 Algorithms;
 Latent Heat;
 Melting;
 Solidification;
 Specific Heat;
 Fluid Mechanics and Heat Transfer