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ISSN Online: 2377-424X

International Heat Transfer Conference 5
September, 3-7, 1974, Tokyo, Japan

A NONLINEAR SINGULAR PERTURBATION THEORY FOR NON-SIMILAR MELTING OR FREEZING PROBLEMS

Get access (open in a dialog) DOI: 10.1615/IHTC5.1450
pages 225-229

Abstrakt

This paper treats the problem of melting or freezing of a finite slab which is initially at a uniform temperature below the melting point. A rational solution procedure based on non-linear two-time scale singular perturbation theory is developed. The technique of matched asymptotic expansions is employed to determine the movement of the interface taking into account the departure from the quasi-steady equilibrium temperature distribution.