Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature (Q1077188)

For two phase moving boundary problems for spheres, cylinders, and plane integral formulations are obtained generalizing known results for one phase Stefan problems. The authors consider: the inward thawing of an initially subcoated solid contained within the just named geometries, or within regions bounded by concentric spheres, cylinders, and planes; the outward thawing of an initially subcooled solid in the finite region surrounding a sphere, cylinder, or plate. Bound obtained for inward thawing are compared with exact numerical solutions given by the enthalpy method.