 
  
Аuthors
Akatev I. D.1*, 
Yashin M. S.2, 
Onufriev V. V.1
1. Bauman Moscow State Technical University, Moscow, Russian Federation
2. LUCH JSC, Podolsk, Russian Federation
 *e-mail: akatevid@student.bmstu.ru
Abstract
 
	The article is devoted to the study of the thermal state of electrodes of a thermionic emission convert-er (TEС) with radiant heating by incandescent products of natural fuel combustion. The authors con-ducted a study of the thermal state of electrodes using the COMSOL Multiphysics finite element (FE) analysis software package, which allows solving multiphysical problems represented by a system of partial differential equations. A simplified three-dimensional geometry consisting of flat cylindrical electrodes, a metal-ceramic assembly, and an internal interelectrode gap filled with cesium is consi-dered. The modules «Heat Transfer in Solids and Fluids» and «Surface-to-Surface Radiation» were used under the specified boundary conditions corresponding to the operation of the TEC in idle mode – in the absence of electronic cooling of the emitter. The calculated method has obtained the tempera-ture field in the electrodes and insulator of the TEC, which allows us to judge the effect of the thermal conditions of the structural elements on their temperatures. It is established that one of the main fac-tors influencing the efficiency of a TEC with a plane-parallel geometry of electrodes is the thermal re-sistance of the structural elements. The heat fluxes in the geometry under consideration are estimated using the heat balance equations for the elements of the TEC structure. It is determined that the main part of the heat flow from the emitter to the collector in the geometry under study is transmitted through an insulator. It is necessary to increase the thermal resistance of the structural elements be-tween the electrodes to ensure the required temperatures of the TEC electrodes. However, additional research is required depending on the chosen method of increasing the thermal resistance of structural elements – the use of materials with very low thermal conductivity or the use of geometric profiling of structural elements. It is advisable to take into account additional heat flows in the proposed model for a multiparametric study and optimization of the thermal condition of the TEC structure for various modes of its operation. A parameterized model of the three-dimensional geometry of TEC with vari-ous designs of insulator structures and the materials used can be a development of the presented model.
Keywords:
 thermionic emission converter, flat electrodes, thermal state, finite element model, heating, cooling
References
 
	- Khalid KAA, Leong TJ, Mohamed K. Review on Thermionic Energy Converters. IEEE Transactions on Electron Devices. 2016;63(6):2231–2241. DOI: 10.1109/TE D.2016.2556751
- 
	Campbell MF, Celenza TJ, Schmitt F et al. Progress Toward High Power Output in Thermionic Energy Converters. Ad-vanced Science. 2021;8(9). DOI: 10.1002/advs. 202003812
- 
	Go DB, Haase JR, George J et al. Thermionic Energy Con-version in the Twenty-first Century: Advances and Op-portunities for Space and Terrestrial Applications. Fron-tiers in Mechanical Engineering. 2017;3. DOI: 10.33 89/fmech.2017.00013
- 
	Leont'ev AI, Onishchenko DO, Pankratov SA et al. Appli-cation of a thermoelectric generator to ensure the ope-ration of a diesel turbine with partial combustion cham-ber insulation. Thermal processes in engineering. 2016;8(5): 227–232. (In Russ.).
- 
	Kolychev AV, Kernozhitskiy VA, Levikhin AA. Thermal pro-tection system for ceramic thermally stressed elements of landers and return stages of launch vehicles. Thermal processes in engineering. 2018;10(7–8):325–333. (In Russ.).
- 
	Zimin VP, Efimov KN, Ovchinnikov VA et al. Mathematical modeling of active thermoemissive thermal protection during high-enthalpy flow around a shell Inzhenerno-fizicheskij zhurnal, 2020;93(3):517–528. (In Russ.).
- 
	Polous MA, Yarygin VI. Methodology for three-dimen-sional calculation of the output characteristics of an ex-perimental thermionic converter. Nauchno-tekhnicheskij vestnik Povolzh'ya. 2012;(6):36–41. (In Russ.).
- 
	Polous MA. Improvement of the method for calculating the output characteristics of a multi-element thermionic power generation channel of a reactor-converter. Izvestiya vysshikh uchebnykh zavedeniy. Yadernayaenergetika. 2010; (1):164–172. (In Russ.).
- 
	Davydov AA, Gontar AS, Sotnikov VN. Comprehensive computer modeling of the output parameters and re-source behavior of a multi-element Uranium Dioxide-based EGC. Voprosy atomnoy nauki i tekhniki. Fizika radi-atsionnogo vozdeystviya na radioelektronnuyu appa-raturu. 2014;(1):18–25. (In Russ.).
- 
	Babushkin YuV, Zimin VP. Mathematical software for modeling thermionic emission systems. Izvestiya TPU. 2006;309(1):51–55. (In Russ.).
- 
	Ushakov BA, Niktin VD, Emel'yanov IYa. Fundamentals of Thermionic Energy Conversion. Moscow: Atoizdat; 1974. 288 p. (In Russ.).
- 
	Akatyev ID, Yashin MS, Onufriyev VV. Energy model of a flat thermionic converter with gas-flame heating of the emitter. Budushcheye mashinostroyeniya Rossii: XVI vse-rossiyskaya konferentsiya molodykh uchenykh i spetsialistov: sbornik dokladov. 2024. p. 391–399. (In Russ.).
- 
	Toropov EV. Adaptation of the blackness degree of com-bustion products to the temperature range 1000...2000 K. Vestnik Yuzhno-Ural'skogo gosudarstvennogo universi-teta. Seriya: Energetika, 2018;18(3):22–29. (In Russ.). DOI: 10.14529/power180303
- 
	Abdullin AM. Spectral characteristics of radiation heat transfer in flammable furnaces of the petrochemical in-dustry Vestnik Tekhnologicheskogo universiteta. 2016; 19(4):40–42. (In Russ.).
- 
	Yudin RA, Shestakov NI, Yudin IR et al. Features of calcula-tion and regulation of two-stage natural gas combustion processes. Vestnik Cherepoveckogo gosudarstvennogo universiteta. 2014;(4(57)):26–30. (In Russ.).
- 
	Yudin RA, Shestakov NI, Yudin IR et al. Features of calcu-lating incomplete combustion of fuel with an arbitrary chemical composition. Cherepoveckie nauchnye chteniya – 2012: Materialy Vserossijskoj nauchno-prak-ticheskoj konferencii. 2013. p. 271–272. (In Russ.).
- 
	Yarygin VI. Electrode materials for thermionic converters in power plants for various purposes. Electrode materials for thermionic converters for different types of power systems. PhD the-sis. Obninsk: IPPE JSC; 1999. 65 p. (In Russ.).
- 
	Gribkov AS, Popov AN, Sinyavskiy VV. A two-mode space nuclear power plant based on a thermionic converter re-actor and a thermoelectrochemical generator. Kosmich-eskaya tekhnika i tekhnologii. 2017;(3(18)):42–52. (In Russ.).
- 
	Ponomarev-Stepnoy NN (eds.). Space nuclear power (nu-clear reactors with thermoelectric and thermionic conver-sion – «Romashka» and «Enisey»). Moscow: IzdAT; 2012. 227 p. (In Russ.).
- 
	Chirkin VS. Thermal and Physical Properties of Nuclear En-gineering Materials Handbook. Moscow: Atomizdat; 1968. 484 p. (In Russ.).
- 
	Suleymanov SKh, Dyskin VG, Dzhanklich MU et al. Deter-mination of the blackness degree of the ceramic compo-site material VMK-5 Computational nanotechnology. 2021;8(2):24–28. (In Russ.). DOI: 10.33693/231 3-223X-2021-8-2-24-28
- 
	Blokh AG, Zhuravlev YuA, Ryzhkov LN. Heat exchange by radiation. Moscow: Energoatomizdat; 1991. 431 p. (In Russ.).
- 
	COMSOL – Software for Multiphysics Simulation. 2025.
- 
	Vargaftik NB. Handbook of Thermophysical Properties of Gases and Liquids. Moscow; Fizmatgiz. 1972. 720 p. (In Russ.).