Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary
John R. King, David S. Riley · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2000
In 1989, Huppert formulated mathematical models of the melting and/or freezing that occurs when a hot fluid begins to flow turbulently over a cold substrate. He solved the resulting Stefan problems numerically and presented certain asymptotic results. This note revisits one of his problems and adds to the mathematical analysis of its asymptotic structure. Generalizations and relationships with other results are also noted.