Simulation of Electrical Heating of Materials in Metallic Capacity of Cylindrical Form

Abstract:

Electrical and thermal processes, occurring while heating materials in metallic capacities of cylindrical form, are examined. The peculiarities of those processes are defined, and it is shown that their essence is in the way of distributing the sources of heat, while using different methods of electrical heating, in the change of properties of the heated material under varying temperature and in the course of the process in time. Mathematical model to calculate the thermal process, taking place in the heated material, taking into consideration the changes of its thermal parameters, as well as the character of the controlling electrical actions, is developed. On the basis of differential equation of the process of heating and boundary conditions, difference equations are formed, which allow to solve the task by numerical method. The solution is carried out by the method of passing. Analytical dependences to determine the coefficient of the method of passing, and temperature in the random point of the heated material are obtained. It is proposed to carry out the correction of the thermal parameters of the heated material while calculating the coefficients in the process f the “direct” course of the method of passing. The values of temperature of the material, obtained in the period of the preceding “reverse” course of passing, are taken into consideration with that. The opportunity to concentrate the sources of heat both in the internal and external covers of the installation is realized. The change of intensity of their action in time is possible, and that allows to reproduce a wide range of the controlling actions. Algorithm for task solution on the electronic computer is developed. The example for calculating the thermal process of concrete heating in winter time is considered.

• Periodical: Solid State Phenomena (Volume 291)
• Pages: 72-82
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.291.72
• Online since: May 2019
• Authors: Gennadiy Pivnyak, Natalia Dreshpak, Stanislav Vypanasenko*, Leonid Meshcheryakov, Liudmyla Zaika, Michał Potempa
• Keywords: Electrical Heating, Mathematical Model, Method of Passing, Thermal Process

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