The solution of Problems Involving the Melting and Freezing of Finite Slabs by a Method due to Portnov

Author:

Jackson F.

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).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Heat conduction in a melting solid

2. A Method of Heat Conduction Analysis of Melting and Solidification Problems

3. Exact solution of freezing problem with arbitrary temperature variation on fixed boundary;Portnov;Soviet Physics,1962

4. Problem of Intense Surface Heating of a Slab Accompanied by Change of Phase

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