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Calculation of the cooling condition in the phase change problem

Słota D.

Journal of Achievements in Materials and Manufacturing Engineering

2009

Vol. 33, nr 1

70-77

Purpose: The purpose of the paper is to present the method of calculation of the cooling condition in the phase change problem. The considered problem consists of the reconstruction of a function describing the heat transfer coefficient, when the temperature values in selected points of the solid phase are known. Design/methodology/approach: In numerical calculations, the Tikhonov regularization, the genetic algorithm and the alternating phase truncation method were used. Findings: The featured examples of calculations show a very good approximation of the exact solution and stability of the procedure. Practical implications: The paper presents an example of selection of the heat transfer coefficient given in the form of a continuous function. This method can be easily adopted also for the determination of other parameters of the problem discussed here. Originality/value: The calculations made, only part of which has been presented in this paper, show stability of the method proposed, both in terms of the input data errors and the number of control points, thus corroborating usefulness of the presented approach.