Abstract

Existing means of thermal field modeling for the construction of the real time spatial distribution of the field were analyzed. The expediency of using the method of integral transformations for solving heat conduction problems was shown. Based on the comparison of methods of thermal fields construction method of integral transformations in the basis of the Green's functions was chosen. Construction of Green's functions for the use in the experimental facility is performed by the method of Laplace integral transforms. Software, generated based on the use of Matlab environment, allows to adjust the visualized field pattern by actual measured temperature values. Temperature point values of the experimental facility field were measured by NAT thermocouples, that are connected to a PC through OWEN 150UM controller interface, which makes it possible not only to form an array of measured values of the temperature, but also to adjust the time-varying boundary conditions of the calculated heat equation. The main purpose of the research is to assess the performance of the developed algorithms to reduce the field frame modeling time, which would allow to use the resulting pattern of the thermal field distribution in the industrial thermal facilities control process. The advantage of the thermal field constructing algorithm in the basis of the Green's function is the ability of the independent calculation of all points of the investigated area, allowing in the future to speed up the computation by applying high-performance computing.

Highlights

  • Electric heating is widely used in various industries: heat furnaces of different scales, autoclaves

  • Regardless of the application of electric heating the technological problem of formation of the corresponding thermal field in a space where the product is handled arises. This problem is related to the monitoring of the corresponding thermal field on the surface of the heat objects (HO) working space

  • To properly manage the process of heating in HO, in addition to the problem of tracking the distribution of the HO temperature field, it is necessary to take into account the behavior of the workpiece temperature [1]

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Summary

Introduction

Electric heating is widely used in various industries: heat furnaces of different scales, autoclaves. Regardless of the application of electric heating the technological problem of formation of the corresponding thermal field in a space where the product is handled arises. This problem is related to the monitoring of the corresponding thermal field on the surface of the HO working space. The difference between the nature of the thermal field of the workpiece and the HO leads to different requirements for elements of thermal processes monitoring Solution of this contradiction is achieved by complicating technical equipment of monitoring and reducing the efficiency of fields changes. To bring the results of theoretical research to implementation at an industrial facility, it is necessary to evaluate the possibility of functioning of the developed algorithms in real time on the basis of the available microprocessor

Literature review and problem statement
The purpose and objectives of the research
Getting the Green’s function basis
Conclusions c
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