Mathematical model for temperature estimation forecasting of electrically conductive plate elements under action of pulsed electromagnetic radiation of radio-frequency range

2021;
: pp. 35–42
https://doi.org/10.23939/mmc2021.01.035
Received: October 13, 2020
Revised: December 07, 2020
Accepted: December 08, 2020

Mathematical Modeling and Computing, Vol. 8, No. 1, pp. 35–42 (2021)

1
Lviv Polytechnic National University
2
Lviv Polytechnic National University

A mathematical model for determining the temperature of an electrically conductive plate element under the action of pulsed electromagnetic radiation of the radio-frequency range is proposed.  This model allows us to take into account the influence of the process of thermoelastic energy dissipation on the forecasting of the value of temperature in addition to the joule heat.  This process is determined by thermal expansion and the action of poendromotive forces arising in the element.  This approach allows us to predict a decrease in the error of temperature determination.  On this basis, the distributions of temperature in an electrically conductive plate element under the action of an amplitude-modulated radio pulse have been investigated numerically.  Thermoelastic energy dissipation is taken into account when using the frequencies of the carrying electromagnetic oscillations beyond the resonant frequencies and of the first resonant frequency of the electromagnetic field for this element.  An estimate of the influence of the process of taking into account mechanisms of energy dissipation on the total value of temperature in the element at the specified action and used frequencies is obtained.  This has allowed us to increase the accuracy of temperature measurements in this element.

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