Abstract
This paper presents a proposal to apply one of the swarm intelligence algorithms, the artificial bee colony (ABC) algorithm, to solve the inverse problem of steel ingot continuous casting. The discussed task consists of retrieving the cooling conditions of the process on the basis of temperature measurements and by taking into account the macrosegregation phenomenon. The examined process was modeled by using the mathematical model of solidification within the temperature interval. The solution method was based on the implicit scheme of the finite difference method supplemented by the procedure of correcting the field of temperature in the vicinity of liquidus and solidus curves, which was then used for solving the appropriate direct problem. The computational example, illustrating the stability and accuracy of the proposed method, is also presented in the paper.
Highlights
The possibility of controlling thermal processes is an essential requirement in many industrial applications
In order to create these kind of computer programs, it is necessary to provide efficient modeling of these processes as well as solving the direct and inverse solidification problems
Vasko et al [24] investigated the inverse solidification problems of pure metals (e.g., Hetmaniok et al [25]) and of alloys (e.g., Hetmaniok [26]), as well as of continuous casting (e.g., Slota [17] and Hetmaniok et al [27]) and in order to improve the procedure of the solution and speed up the process of calculations they used optimization algorithms used in artificial intelligence
Summary
The possibility of controlling thermal processes is an essential requirement in many industrial applications. The two-dimensional unsteady heat conduction problem with the substitute thermal capacity is examined in this paper This is done by assuming the linear solid state fraction and the effective value of thermal conductivity in the liquid phase. In this paper the two-dimensional unsteady heat conduction problem with the substitute thermal capacity is investigated and the implicit scheme of the finite difference method is applied for calculations. Vasko et al [24] investigated the inverse solidification problems of pure metals (e.g., Hetmaniok et al [25]) and of alloys (e.g., Hetmaniok [26]), as well as of continuous casting (e.g., Slota [17] and Hetmaniok et al [27]) and in order to improve the procedure of the solution and speed up the process of calculations they used optimization algorithms used in artificial intelligence. The computational example illustrating the correctness and stability of the proposed approach is presented in this study
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