Method for Determining the Design Parameters of a Thermal Vacuum Chamber for Recreating Orbital Boundary Conditions on Spacecraft Surfaces
https://doi.org/10.56304/S2304487X22030026
Abstract
A method for determining the supplied thermal capacities to solar simulators of a thermal vacuum chamber for recreating the thermal regime of a spacecraft in the orbital flight section using the example of an infrared Fourier spectrometer is proposed. This problem is solved as a problem of minimizing the standard deviation between the incident heat flow obtained under the conditions of thermal vacuum tests and the flow simulating the conditions of orbital flight. To do this, two “direct” heat exchange problems are first solved to determine the incident heat fluxes, taking into account the diffuse re-emission between the elements. As an optimization method, the method of conjugate directions is proposed as the most accurate first-order convergence method. For it, it is necessary to determine the step of descent and the components of the gradient of the root-mean-square error. The descent step is sought from the conditions of the minimum of the target functional at each iteration, thereby regularizing our discrepancy between heat flows. The minimization problem is solved by the conjugate gradient method, which allows achieving the required convergence in the minimum number of iterations. The results show that the temperature regime of the considered spectrometer nodes correlates with the calculation in the orbital flight section.
About the Author
N. O. Borshchev
Astrospace Center, Lebedev Physical Institute, Russian Academy of Sciences
Russian Federation
Russian Federation
Moscow
119991
References
1. Zaletaev V.M., Kapinos Yu.V., Surguchev O.V. Raschet teploobmena kosmicheskogo apparata. [Calculation of spacecraft heat transfer]. Moscow, Mashinostroenie Publ., 1979.
2. Krein S.G., Prozorovskaya O.I. Analytical semigroups and ill-posed problems for evolutionary equations. Reports of the Academy of Sciences of the USSR. 1960, vol. 133, no. 2, pp. 277–280. (in Russian)
3. Bassistov Yu.A., Yanovsky Yu.G. Incorrect problems in mechanics (rheology) of viscoelastic media and their regularization. Mechanics of composite materials and structures. 2010, vol. 16, no. 1, pp. 117–143. (in Russian)
4. Bakushinsky A.B., Kokurin M.Yu., Kokurin M.M. Direct and inverse theorems for iterative methods for solving irregular operator equations and difference methods for solving ill-posed Cauchy problems. Journal of Computational Mathematics and Mathematical Physics. 2020, vol. 60, no. 6, pp. 939–962. (in Russian)
5. Fanov V.V., Martynov M.B., Karchaev H.Zh. Letatel’nye apparaty NPO im. S.A. Lavochkina (k 80-letiyu predpriyatiya) [Aircraft of S.A. Lavochkin NPO (to the 80th anniversary of the enterprise)]. Bulletin of NPO named after S.A. Lavochkin, 2017, no. 2/36, pp. 5–16. (in Russian)
6. Bloch A.G., Zhuravlev Yu.A., Ryzhkov L.N. Teploobmen izlucheniem [Heat exchange by radiation]. Moscow, Energoatomizdat Publ., 1991.
7. Tulin D.V., Finchenko V.S. Teoretiko-eksperimental’nye metody proektirovaniya sistem obespecheniya teplovogo rezhima kosmicheskih apparatov. [Theoretical and experimental methods of designing systems for ensuring the thermal regime of spacecraft]. Moscow, MAI-PRINT Publ., 2014, vol. 3, pp. 1320–1437.
8. Tsaplin S.V., Bolychev S.A., Romanov A.E. Teploobmen v kosmose [Heat exchange in space]. Samara University Publ., 2013, 53 p.
9. Alifanov O.M., Artyukhin E.A., Rumyantsev S.V. Ekstremal’nye metody resheniya nekorrektnyh zadach [Extreme methods of solving incorrect problems]. Moscow, Nauka. Gl. ed. phys.-mat. lit. Publ., 1988, 288 s.
10. Alifanov O.M. Obratnye zadachi teploobmena [Inverse problems of heat transfer]. Moscow, Mechanical Engineering Publ., 1988, 280 р.
11. Formalev V.F. Teploperenos v anizotropnyh tverdyh telah [Heat transfer in anisotropic solids]. Moscow, Fizmatlit Publ., 2015, 238 p.
12. Vasin V.V. Modificirovannyj metod naiskorejshego spuska dlya nelinejnyh regulyarnyh operatornyh uravnenij [Modified steepest descent method for nonlinear regular operator equations]. Reports of the Academy of Sciences, 2015, vol. 462, no. 3, p. 264. (in Russian)
13. Golichev I.I. Modificirovannyj gradientnyj metod naiskorejshego spuska resheniya neleniarizovannoj zadachi dlya nestacionarnyh uravnenij Nav’e–Stoksa [Modified gradient method of the steepest descent of the solution of the non-leniarized problem for non-stationary Navier–Stokes equations]. Ufa Mathematical Journal, 2013, vol. 5, no. 4, pp. 60–76. (in Russian)
14. Formalev V.F., Reviznikov D.L. Chislennye metody [Numerical methods]. Moscow, Fizmatlit Publ., 2004, 400 p.
15. Formalev V.F. Analiz dvumernyh temperaturnyh polej v anizotropnyh telah s uchetom podvizhnyh granic i bol'shoj stepeni anizotropii [Analysis of two-dimensional temperature fields in anisotropic bodies taking into account moving boundaries and a large degree of anisotropy]. Thermophysics of high temperatures, 1990, vol. 28, no. 4. pp. 715–721. (in Russian)
16. Formalev V.F. Identifikaciya dvumernyh teplovyh potokov v anizotropnyh telah slozhnoj formy [Identification of two-dimensional heat flows in anisotropic bodies of complex shape]. Engineering and Physics journal, 1989, vol. 56, no. 3, pp. 382–386. (in Russian)
17. Formalev V.F., Kolesnik S.A. Analiticheskoe reshenie vtoroj nachal’no-kraevoj zadachi anizotropnoj teploprovodnosti [Analytical solution of the second initial boundary value problem of anisotropic thermal conductivity]. Mathematical modeling, 2003, vol. 15, no. 6, pp. 107–110. (in Russian)
Review
For citations:
Borshchev N.O. Method for Determining the Design Parameters of a Thermal Vacuum Chamber for Recreating Orbital Boundary Conditions on Spacecraft Surfaces. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2022;11(3):197–208. (In Russ.) https://doi.org/10.56304/S2304487X22030026
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