Similarity solutions describing the melting of a mushy layer

Feltham, D.L. ORCID: https://orcid.org/0000-0003-2289-014X and Worster, M.G. (2000) Similarity solutions describing the melting of a mushy layer. Journal of Crystal Growth, 208 (1-4). pp. 746-756. ISSN 0022-0248 doi: 10.1016/S0022-0248(99)00456-X

Abstract/Summary

A model of the melting of a mushy region in the absence of fluid flow is presented. Similarity solutions are obtained which are used to describe melting from a hot plate with and without the generation of a completely molten region. These solutions are extended to describe the melting of a mushy region in contact with a hot liquid. A significant feature of melting mushy regions is that the phase change occurs internally by dissolution. Our solutions for melting of a mushy region are used to investigate this internal phase change and are compared with the classical Neumann solutions for melting of a pure substance.