The two-dimensional Stefan problem with slightly varying heat flux

Journal Article · Fri Sep 01 00:00:00 EDT 1995 · International Communications in Heat and Mass Transfer

DOI:https://doi.org/10.1016/0735-1933(95)00049-5· OSTI ID:128767

Gammon, J; Howarth, J A ^[1]

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1. Univ. of Hull (United Kingdom). Dept. of Applied Mathematics

The authors solve the two-dimensional stefan problem of solidification in a half-space, where the heat flux at the wall is a slightly varying function of positioning along the wall, by means of a large Stefan number approximation (which turns out to be equivalent to a small time solution), and then by means of the Heat Balance Integral Method, which is valid for all time, and which agrees with the large Stefan number solution for small times. A representative solution is given for a particular form of the heat flux perturbation.

• OSTI ID: 128767
• Journal Information: International Communications in Heat and Mass Transfer, Journal Name: International Communications in Heat and Mass Transfer Journal Issue: 5 Vol. 22; ISSN 0735-1933; ISSN IHMTDL
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
HEAT TRANSFER
SOLIDIFICATION
TRANSIENTS
VARIATIONS