Abstract

The aim of the article is to develop a mathematical model and conduct a numerical experiment of a thermoelectric system (TPP) for the treatment of in^ammatory periodontal diseases by moderate cryotherapy. Materials and methods . A design, a physical and mathematical model of TES for the treatment of in^ammatory periodontal diseases by moderate cryotherapy, developed on the basis of solving the unsteady heatconduction problem fora multilayer system, has been developed. Results . /4s a result of a numerical experiment, data were obtained that describe the temperature distribution over the thickness of each of the layers in the system, taking into accountthe heatfluxes on the junctions of the thermoelectric battery (Š¢Š•Š‘), the parameters of the periodontal region, the temperature change atvarious points of the thermal power plant system - the periodontal region in time. It has been established that the necessary level of procedures associated with lowering the surface temperature of the periodontal zone to -40Ā°C can be realized with a cooling capacity of Š¢Š•Š‘ of 6000 W/m2, which corresponds to the power of modern standard produced thermoelectric modules. Conclusions. It was estabished that the selection of the geometrical parameters TEB and power supply should be guided by the restrictions on the operation of the device, as well as medical norms and standards in order to avoid frostbite of adjacent tissues. A method for increasing the efficiency of the system is proposed, according to which the preliminary cooling of thermal power plants by an external source of cold is used, as well as by the use of forced operating modes of thermal fuel cells TEB.

Highlights

  • Š”Š»Ń цŠøтŠøрŠ¾Š²Š°Š½Šøя: Š•Š²Š“уŠ»Š¾Š² Šž.Š’., ŠœŠ°Š³Š¾Š¼ŠµŠ“Š¾Š²Š° Š”.Š“., Š”Š¶Š°Š±Ń€Š°ŠøŠ»Š¾Š²Š° Š­.Š

  • It has been established that the necessary level of procedures associated with lowering the surface temperature of the periodontal zone to -40Ā°C can be realized with a cooling capacity of thermoelectric battery (TEB) of 6000 W / m2, which corresponds to the power of modern standard produced thermoelectric modules

  • It was established that the selection of the geometrical parameters TEB and its power supply should

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Summary

Introduction

Š”Š»Ń цŠøтŠøрŠ¾Š²Š°Š½Šøя: Š•Š²Š“уŠ»Š¾Š² Šž.Š’., ŠœŠ°Š³Š¾Š¼ŠµŠ“Š¾Š²Š° Š”.Š“., Š”Š¶Š°Š±Ń€Š°ŠøŠ»Š¾Š²Š° Š­.Š. ŠœŠ¾Š“ŠµŠ»ŠøрŠ¾Š²Š°Š½ŠøŠµ тŠµŠæŠ»Š¾Ń„ŠøŠ·ŠøчŠµŃŠŗŠøх ŠæрŠ¾Ń†ŠµŃŃŠ¾Š² ŠæрŠø уŠ¼ŠµŃ€ŠµŠ½Š½Š¾Š¼ ŠŗрŠøŠ¾Š²Š¾Š·Š“ŠµŠ¹ŃŃ‚Š²ŠøŠø Š½Š° Š·Š¾Š½Ńƒ ŠæŠ°Ń€Š¾Š“Š¾Š½Ń‚Š° с ŠøсŠæŠ¾Š»ŃŒŠ·Š¾Š²Š°Š½ŠøŠµŠ¼ тŠµŃ€Š¼Š¾ŃŠ»ŠµŠŗтрŠøчŠµŃŠŗŠ¾Š¹ Š¾Ń…Š»Š°Š¶Š“Š°ŃŽŃ‰ŠµŠ¹ сŠøстŠµŠ¼Ń‹. Ā«Daghestan State Technical UniversityĀ», Makhachkala, Russia Abstract The aim of the article is to develop a mathematical model and conduct a numerical experiment of a thermoelectric system (TPP) for the treatment of inflammatory periodontal diseases by moderate cryotherapy. Š¦Š•Š›Š¬ Š Š°Š·Ń€Š°Š±Š¾Ń‚ŠŗŠ° Š¼Š°Ń‚ŠµŠ¼Š°Ń‚ŠøчŠµŃŠŗŠ¾Š¹ Š¼Š¾Š“ŠµŠ»Šø Šø ŠæрŠ¾Š²ŠµŠ“ŠµŠ½ŠøŠµ чŠøсŠ»ŠµŠ½Š½Š¾Š³Š¾ эŠŗсŠæŠµŃ€ŠøŠ¼ŠµŠ½Ń‚Š° Š¢Š­Š” Š“Š»Ń Š»ŠµŃ‡ŠµŠ½Šøя Š²Š¾ŃŠæŠ°Š»ŠøтŠµŠ»ŃŒŠ½Ń‹Ń… Š·Š°Š±Š¾Š»ŠµŠ²Š°Š½ŠøŠ¹ ŠæŠ°Ń€Š¾Š“Š¾Š½Ń‚Š° Š¼ŠµŃ‚Š¾Š“Š¾Š¼ уŠ¼ŠµŃ€ŠµŠ½Š½Š¾Š³Š¾ ŠŗрŠøŠ¾Š²Š¾Š·Š“ŠµŠ¹ŃŃ‚Š²Šøя.

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