An investigation about the relations between the results of heat conduction problems with and without phase change

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · International Communications in Heat and Mass Transfer

DOI:https://doi.org/10.1016/0735-1933(96)00072-3· OSTI ID:372292

Ilken, Z ^[1]; Gunerhan, H ^[2]

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1. Dokuz Eylul Univ., Bornova (Turkey)
2. Ege Univ., Bornova (Turkey). Solar Energy Inst.

There are physical relations between the velocities of the isotherms for two heat conduction problems having the same initial and boundary conditions, but one of them has phase change while the other one has not. The main idea of this study is to find these relations mathematically, which stand on a physical base, depending on the physical properties of the phases and the common parameters of these two different problems. If such kind of relations are known, then it will be possible to find the position of solid-liquid interface by using the analytical solutions and the relation itself, not solving the phase change problem. This idea is applied to heat conduction problem in semi infinite media and one dimensional phase change problem is solved for three different kind of boundary conditions via the Enthalpy Method. The results are correlated with the analytical solutions of the problem having some geometry and conditions but without phase change and obtained some relations having correlation coefficients changing between 0.91 and 0.98. This result shows that the regression analysis made is statistically meaningful.

• OSTI ID: 372292
• Journal Information: International Communications in Heat and Mass Transfer, Journal Name: International Communications in Heat and Mass Transfer Journal Issue: 6 Vol. 23; ISSN 0735-1933; ISSN IHMTDL
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
INTERFACES
ISOTHERMS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
THERMAL CONDUCTION