Construction and verification of a mathematical model of the spatial distribution of radiant fluxes generated by the infrared irradiator IET-29 of the VK600/300 thermal vacuum chamber based on the results of thermal vacuum tests

Аuthors

Ulyanov V. A.^*, Savchuk P. N., Polyakhov A. D.^**

Federal State Enterprise "Research and Testing Center for the Rocket and Space Industry", Peresvet, Russian Federation

*e-mail: osduka@rambler.ru
**e-mail: alekdmitrpol@gmail.com

Abstract

As part of the modernization of the infrared radiation simulator of the VK600/300 thermal vacuum chamber of the Federal State Enterprise “Research Center of the Russian Communist Party” in order to clarify its operating characteristics, full-fledged thermal and vacuum tests of the simulator were carried out. 
In the course of these tests, experimental studies of the energy and radiative characteristics of single and group radiation sources consisting of IET-29 irradiators were carried out. 
Based on the results of these studies, a method was developed for determining the energy and radia-tive characteristics of infrared radiation sources in conditions of limited capabilities of measuring instruments during thermal vacuum tests, such as the heat flux generated by the irradiator, the solid angle in which the radiation propagates and the specific radiation strength in the direction of the optical axis of the irradiator.
A complex mathematical model of the irradiator has been constructed, including thermal, radiation, energy models, as well as a mathematical model of the spatial distribution of radiation generated by the irradiator.
A light model of the irradiator has been developed in the representation of the radiator emitting element in the form of an emitting tape located in the irradiator shear plane with polynomial models of radiation propagation in the main longitudinal and transverse planes, the coefficients of which are determined in the process of processing the test results.
On the basis of this model, an analytical dependence was obtained for calculating irradiation at any given design point.
The analytical dependence of the heat flux generated by the irradiator on the electric power supplied to it is obtained, and the value of the solid angle in which its radiation propagates is determined. 
An analytical dependence of the specific radiation intensity of the irradiator and its LP on the electric power supplied to it is obtained.
Analytical dependencies of the angular distribution of radiation in the main, transverse and longitudinal planes are constructed - radiation indications;
A methodological and algorithmic apparatus has been developed that provides the solution of any methodological problems when using IET-29 infrared radiation sources in the process of thermal vacuum testing of objects of any complexity.

Keywords:

infrared radiation simulator, infrared irradiator, mathematical model, spatial distribution of radiant fluxes, electric power, heat flux, radiation strength, solid angle, axial irradiation

References

1. Ulyanov VA, Solovyov MV. Optimization of Thermal Vacu-um Tests of Space Complexes at the VK 600/300 Facility. Polet. 2009:82–93. (In Russ.).
2. Ulyanov VA, Sizyakov NP, Polyakhov AD. Finite element thermal model of the IET-29 infrared emitter and its veri-fication based on the results of thermal vacuum tests. Polet. 2022;(4):3–21. (In Russ.).
3. Ulyanov VA, Sizyakov NP, Polyakhov AD et al. Con-struction and study of the radiative model of the IET-29 infrared emitter in the conditions of thermal vacuum tes-ting of space technology products. Polet. 2023;(1–2): 81–94. (In Russ.).
4. Ulyanov VA, Polyakhov AD, Savchuk PN. Experimental studies and verification of the radiative model of the IET-29 infrared irradiator based on the results of its thermal vacuum tests. Thermal Processes in Engineer-ing. 2024;16:(12):568–595. (In Russ.).
5. Ulyanov VA, Polyakhov AD, Savchuk NP. Verification Methodology of the Radiative Model of the Infrared Ir-radiator IET–29 Based on the Results of Its Thermal Vacuum Tests. Thermal Processes in Engineering. 2025; 17(4):179–187. (In Russ.).
6. Meshkov VV, Epaneshnikov MM. Lighting installations. Energiya. 1979;152–153. (In Russ.).
7. Methodical manual «Design of artificial lighting of pub-lic and residential buildings», Ministry of Construction and Housing and Communal Services of the Russian Federation, Federal Autonomous Institution «Federal Center for Norming, Standardization and Conformity As-sessment in Construction». Moscow. 2016. section 1.6.1. pp. 29–30. (In Russ.).
8. Laboratory Workshop "Calculation of Illumination from Sources of Various Types», Ministry of Education of the Republic of Belarus, Belarusian National Technical University, Department of Laser Engineering and Tech-nology. Minsk. BNTU. 2020. section 3.1.1. pp. 28–29. (In Russ.). 
9. Low-pressure ultraviolet bactericidal lamps. Methods for measuring the energy characteristics of ultraviolet radiation and electrical parameters. State Standart R 70380-2022. Moscow. Russian Institute of Standardization. 2022. sec-tion 6.3. pp. 8–9. appendix G. pp. 17–19. (In Russ.).
10. Shabarchin AF, Zaitsev AN, Ushakova AA. Product E2. Program and Methodology of Calibration Tests of IKI VK 600/300 Modules. Peresvet. FKP «NITs rkp». Inven-tory Number E2-2400-0 PM-7. 2014 (In Russ.).
11. Paleshkin AV, Mamedova KI. Modeling of calculated external thermal loads to the surface of the spacecraft using infrared heaters. Trudy MAI. 2016;(85). (In Russ.).
12. Dobrynina DB, Ushakova AA, Shabarchin AF et al. Modeling of external thermal effects from infrared radia-tion sources during testing of rocket and space technolo-gy in VK-600/300. Vestnik Samarskogo universiteta. Aerospace Engineering, Technology and Mechanical Engineering. 2017;16(3):27–38. (In Russ.).