MATHEMATICAL MODEL OF A THERMOELECTRIC SEMICONDUCTOR SYSTEM FOR VISUALIZING THE TEMPERATURE FIELDS OF OBJECTS

Objective. The research objective is to develop a mathematical model of a thermoelectric semiconductor system to visualize the temperature fields of objects and study the thermophysical internal processes.

Methods. A thermoelectric semiconductor system was developed for visualizing the temperature fields of flat objects using a liquid crystal film. Its feature is to increase the accuracy of measurements due to a more accurate coupling of the object and the device. A mathematical simulation of  the system was performed based on the solution of a dynamic two- dimensional heat conduction problem with local heat sources and sinks over  the area of a liquid crystal film. 

Results. Dependency graphs were obtained for the dependency of two-dimensional temperature distribution over the surface of the liquid crystal film in the presence of heat sources and sinks, the change in the cooling capacity, the cooling ratio, the supply voltage of the thermoelectric module on the temperature difference between the junctions for different  values of the supply current. 

Conclusion. As a result of calculations, it was found that the color gamut of a liquid crystal film changed significantly in the presence of heat sources and sinks on its surface. During pre-calibration, the system allows visualization  of the object temperature field and determines the value of its temperature at each point. Following the calculated data, it is determined that to ensure  the entire operation of the thermoelectric semiconductor system, a standard thermoelectric module ICE-71 can be used with the following specifications: power range – 16 to 35 W with an average temperature difference between the junctions – 55 K, the supply current – 28 A with a power consumption of 40 to 90 W, the cooling ratio is from 0.38 to 0.43.

1. Atroshenko, YU.K. Teplotekhnicheskiye izmereniya i pribory / YU.K. Atroshenko, Ye.V. Ivanova. Tomsk: TPU, 2014. 151 s. [Atroshenko, Yu.K. Heat engineering measurements and devices / Yu.K. Atroshenko, E.V. Ivanova. Tomsk: TPU, 2014.151 p. (In Russ)]

2. Aleksandrov, A.A., Teplotekhnika / A.A. Aleksandrov, A.M. Arkharov, I.A. Arkharov, [i dr.]. M: MGTU im. N.E. Baumana, 2017. 880 s [Aleksandrov, A.A., Heat engineering / A.A. Alexandrov, A.M. Arkharov, I.A. Arkharov, [and others]. M: MGTU im. N.E. Bauman, 2017.880 p. (In Russ)]

3. Dul'nev, G.N. Teoriya teplo- i massoobmena / G.N. Dul'nev. SPb.: SPbNIUITMO, 2012. 195 s. [Dulnev, G.N. Theory of heat and mass transfer / G.N. Dulnev. SPb .: SPbNIUITMO, 2012.195 p. (In Russ)]

4. Korneev, A.V. First aid / A.V. Korneev. Donetsk: BAO, 2013.240 p.

5. Bergman, T.L. Fundamentals of heat and mass transfer / T.L. Bergman, A.S. Lavine, F.P. Incropera, D.P. Dewitt. New York: John Wiley Sons, 2011.1076 p.

6. Pasquali P. Cryosurgery: a practical manual / P. Pasquali. New York: Springer, 2015.441 p.

7. Yaromich, I.V. Ambulance and emergency medical care / I.V. Yaromich. Minsk: High school. 2010.289 s.

8. Ismailov, T.A. Eksperimental'nyy stend dlya izmereniya rabochikh kharakteristik termoelektricheskogo ustroystva dlya lokal'nogo zamorazhivaniya tkaney gortani / T.A. Ismailov, O.V. Yevdulov, T.A. Ragimova // Polzunovskiy vestnik. 2010. №2. S. 166-169. [Ismailov, T.A. Experimental stand for measuring the performance characteristics of a thermoelectric device for local freezing of laryngeal tissues / T.A. Ismailov, O. V. Evdulov, T.A. Ragimova // Polzunovsky Bulletin. 2010. No. 2. pp. 166-169. (In Russ)]

9. Zharkova, G.M. Opticheskiye metody formirovaniya vysokostrukturirovannykh polimerno-zhidkokristallicheskikh kompozitov / G.M. Zharkova, O.YU. Pod"yacheva, S.A. Strel'tsov // Zhidkiye kristally i ikh prakticheskoye primeneniye. 2015. № 3. S. 91-102. 1 [Zharkova, G.M. Optical methods for the formation of highly structured polymer- liquid crystal composites / G.M. Zharkova, O. Yu. Podyacheva, S.A. Streltsov // Liquid crystals and their practical application. 2015. No. 3. pp. 91-102. (In Russ)]

10. Zharkova, G. M., Petrov A. P., Strel'tsov S. A., Khachaturyan V. M. Vliyaniye temperatury na svoystva polyarizatsionnykh golograficheskikh reshotok, sformirovannykh v zhidkokristallicheskikh kompozitakh / G.M. Zharkova, A.P. Petrov, S.A. Strel'tsov, V.M. Khachaturyan // Avtometriya. 2012. № 4. S. 55-59. [ Zharkova, GM, Petrov AP, Streltsov SA, Khachaturyan VM Influence of temperature on the properties of polarization holographic gratings formed in liquid crystal composites. Zharkov, A.P. Petrov, S.A. Streltsov, V.M. Khachaturian // Autometry. 2012. No. 4. pp. 55-59. (In Russ)]

11. Mikhaylin, YU.A. Zhidkokristallicheskiye polimery / YU.A. Mikhaylin // Polimernyye materialy. 2006. №2. S. 24-30. [Mikhailin, Yu.A. Liquid crystal polymers / Yu.A. Mikhailin // Polymer materials. 2006. No. 2. pp. 24-30. (In Russ)]

12. Yevdulov, O.V., Magomedova K.A., Mispakhov I.SH. Ustroystvo dlya opredeleniya i vizualizatsii temperaturnykh poley ploskikh ob"yektov / O.V. Yevdulov, K.A. Magomedova, I.SH. Mispakhov // Materialy Vserossiyskoy molodezhnoy NPK "Programmno-tekhnicheskoye obespecheniye avtomatizirovannykh sistem". Barnaul: AGTU. 2018.

13. S.115-117. [Evdulov, O.V., Magomedova K.A., Mispakhov I.Sh. Device for determination and visualization of temperature fields of flat objects / O.V. Evdulov, K.A. Magomedova, I. Sh. Mispakhov // Materials of the All-Russian Youth Research and Production Complex "Software and hardware support of automated systems". Barnaul: AGTU. 2018. pp.115-117. (In Russ)]

14. Anatychuk, L.I. Thermoelectricity. Thermoelectric energy converters / L.I. Anatychuk. Kiev, Chernivtsi: Institute of Thermoelectricity, 2003.376 p.

15. Ismailov, T.A. Okhlazhdayushchiye sistemy na baze sil'notochnykh termoelektricheskikh poluprovodnikovykh preobrazovateley / T.A. Ismailov, O.V. Yevdulov, R.A.-M. Magomadov. SPb.: Politekhnika, 2020. 285 s. [Ismailov, T.A. Cooling systems based on high-current thermoelectric semiconductor converters / T.A. Ismailov, O. V. Evdulov, R.A.-M. Magomadov. Saint Petersburg: Polytechnic, 2020.285 p. (In Russ)]

16. Nagase, K. Development of durability testing for thermoelectric power generation module / K. Nagase, A. Yamamoto // Journal of Kinzoku materials science and technology. 2016. No. 3. pp. 1347-1364.

17. Rowe, D.M. Thermoelectrics and its energy harvesting, materials, preparation and characterization / D.M. Rowe. BocaRaton: CRC Press. 2012.567 p.

18. Goldsmid, H.J. Introduction to thermoelectricity / H.J. Goldsmid. New York: Springer, 2010.121 p.

19. Goldsmid, H.J. Thermoelectric refrigeration / H.J. Goldsmid. New York: Springer, 2013.240 p.

20. http: //www.kryotherm.spb.ru (accessed 01/18/2021).

21. https: //www.yalosindicator.com (accessed 01/18/2021).