The solution of Problems Involving the Melting and Freezing of Finite Slabs by a Method due to Portnov
- 1 December 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 14 (2) , 109-128
- https://doi.org/10.1017/s0013091500025852
Abstract
In a recent paper (1) Portnov used a form of Poisson integral to find the exact solution for the temperature distribution in a freezing semi-infinite slab occupying the region x > 0, and having an arbitrary time dependent temperature applied at the face x = 0. Previously, Boley (2) had used a method based on Duhamel's theorem to find solutions for problems involving melting, in both finite and semi-finite regions, caused by time dependent heat fluxes. Steady-state solutions have been investigated by Landau (3), Masters (4) and others (5).Keywords
This publication has 3 references indexed in Scilit:
- A Method of Heat Conduction Analysis of Melting and Solidification ProblemsJournal of Mathematics and Physics, 1961
- Problem of Intense Surface Heating of a Slab Accompanied by Change of PhaseJournal of Applied Physics, 1956
- Heat conduction in a melting solidQuarterly of Applied Mathematics, 1950