MODELING OF THE TEMPERATURE FIELD ON THE WORKING SURFACE OF AN ULTRASONIC EMITTER
DOI:
https://doi.org/10.20535/kpi-sn.2019.2.167537Keywords:
Ultrasound, Ultrasound therapy, Mathematical model, Temperature, Ultrasound probeAbstract
Background. An important place among the methods of treatment in physiotherapy is the treatment of ultrasound. The process of ultrasound therapy consists of contacting the interaction of ultrasound from an ultrasonic emitter with superficial skin layers. Therefore, patient safety in this procedure is a dominant factor. During ultrasonic action on the biological tissue, the ultrasound emitter is heated. The range of heating of the ultrasonic emitter is determined by measuring and controlling the temperature values. When performing the procedure of ultrasound therapy, it is problematic to measure the temperature of the probe directly before the piezoelectric element on the external contact surface, which, in turn, has the highest temperature values across the entire working surface.
Objective. Development of a mathematical model that allows for the temperature values from the peripheral parts of the working surface of the ultrasonic probe to get the temperature value of the central part of its working surface.
Methods. In the study used, the method of randomization of the experiment, the theory of processing of experimental data, the regression analysis, which allowed to develop a mathematical model and evaluate its adequacy and accuracy, was applied. In the course of the study, the main values of temperature at the points on the working surface of the ultrasonic probe were determined, which were applied in the analysis of experimental data and determination of regression coefficients of the mathematical model.
Results. An analysis of experimental data and a regression analysis of the received values of the temperature of the working surface of the ultrasound probe showed that there is a significant mathematical dependence between the temperature in the central part of the probe and its peripheral parts, and this mathematical dependence has been determined, among other basic dependencies, and its verification has been made and errors have been calculated.
Conclusions. The mathematical model and estimated values of temperature on the working surface of an ultrasonic emitter are developed, which makes it possible to successfully use them in the development of new ultrasonic treatment heads for ultrasound therapy.
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