Modelling of the optimum cooling condition in two-dimensional solidification processes

Purpose: This paper presents the method of the calculation of the cooling condition in the two-dimensional solidification processes.Design/methodology/approach: The considered problem consists in the reconstruction of the function that describes the heat transfer coefficient on the boundary, when the temperature measurements in selected points of the solid phase are well-known. In calculations the alternating phase truncation method, the genetic algorithm and the Tikhonov regularization were used.Findings: The calculations show a very good approximation of the exact solution and the stability of the procedure.Research limitations/implications: On the bases of the results that every start-up of the genetic algorithm leads to similar results, which are reflected by very low values of the standard deviation.Originality/value: The calculations point to the stability of the proposed method in view of the input data errors, number of control points, substantiating the usability of such approach.