The starting solution for two-dimensional heat conduction problems with change of phase
Open Access
- 1 January 1969
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 27 (2) , 223-246
- https://doi.org/10.1090/qam/99828
Abstract
A short-time solution for two-dimensional change-of-phase problems for a half space is developed. The problems are such that melting starts at a point of the surface and spreads both along the surface and towards the interior of the body. Heating is applied by an analytic but otherwise general heat input.Keywords
This publication has 10 references indexed in Scilit:
- A general starting solution for melting and solidifying slabsInternational Journal of Engineering Science, 1968
- Bounds in Melting Problems with Arbitrary Rates of Liquid RemovalSIAM Journal on Applied Mathematics, 1966
- Estimate of errors in approximate temperature and thermal stress calculationsPublished by Springer Nature ,1966
- Special Functions and Their ApplicationsPhysics Today, 1965
- The solution of a class of two-dimensional melting and solidification problemsInternational Journal of Solids and Structures, 1965
- THE ANALYSIS OF PROBLEMS OF HEAT CONDUCTION AND MELTINGPublished by Elsevier ,1964
- UPPER AND LOWER BOUNDS IN PROBLEMS OF MELTING OR SOLIDIFYING SLABSThe Quarterly Journal of Mechanics and Applied Mathematics, 1964
- Dendritic and spheroidal growthActa Metallurgica, 1961
- A Method of Heat Conduction Analysis of Melting and Solidification ProblemsJournal of Mathematics and Physics, 1961
- ON THE CONDUCTION OF HEAT IN A MELTING SLABPublished by Defense Technical Information Center (DTIC) ,1961