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Heat-balance integral method in solidification problems involving small spatial perturbations

Pauk V.

Journal of Technical Physics

2000

Vol. 41, no 1

65-74

The heat-balance integral method is applied to solve the solidification problem involving a small spatial periodic fluctuations in the mold temperature. These initial irregularities lead to perturbations in the temperature field and the planar solidification line. The problem is reduced to linear differential equations for amplitudes of the interface perturbations and solutions are presented in closed forms. The numerical analysis is performed for a sinusoidal perturbation. Presented results show the oscillations in the solidification front as a function of time and parameters of the problem. The stability of an interface between solid and liquid phases is investigated.