Numerical solution of melting/solidification problems in cylindrical geometry Available to Purchase

In this report, we study the numerical solution of melting/solidification problems in cylindrical geometry by the heat balance integral method. The heat balance method can be applied to a range of problems, particularly to problems with symmetric geometries(cylindrical and spherical), and the accuracy obtained is usually sufficient for most practical situations. Good accuracy can be obtained by using a linear temperature profile with spatial sub‐divisions. We also discuss ways of improving the accuracy of the solutions and efficiency of the computations. The heat balance method also can be used when there is a singularity in the problem to provide small time approximation solutions.