Calculation of the Refueling Dose of a Temperature Control System with the Two-Phase Circuit

Authors: Borshchev N.O. Published: 10.01.2024
Published in issue: #4(147)/2023  

DOI: 10.18698/0236-3941-2023-4-4-15

Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Strength and Thermal Modes  
Keywords: loop heat pipe, thermal balance, thermal control system, spacecraft


The paper proposes a method for evaluating the required amount of coolant filled up into a loop heat pipe and this filling dose effect on its thermal state. The Runge --- Kutta method of the 4th order of accuracy was introduced to solve a system of thermohydraulic equations describing thermal state of the structure with the thermal load on the evaporative heat exchanger specified in the stepwise manner. Based on this model, the amount of coolant required for filling was to be selected, so that when the loop heat pipe was in a vertical position, the condenser and steam channel were flooded. It is shown that liquid underfilling or overfilling in the loop heat pipe has insignificant effect on its performance, except for the extreme cases. If the working fluid amount in the compensation cavity is small, this could cause insufficient supply of fluid to the wick and disruption of the loop heat pipe normal operation. In case when the working fluid filling dose is significant, the compensation cavity is completely filled with liquid. As the thermal load and operating temperature increase, the liquid volumetric expansion liquid leads to its flow from the compensation cavity into the condenser

Please cite this article in English as:

Borshchev N.O. Calculation of the refueling dose of a temperature control system with the two-phase circuit. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2023, no. 4 (147), pp. 4--15 (in Russ.). DOI: https://doi.org/10.18698/0236-3941-2023-4-4-15


[1] Vershinin S.V., Maydanik Yu.F. Flexible miniature loop heat pipes. Teplovye protsessy v tekhnike [Thermal Processes in Engineering], 2012, vol. 4, no. 12, pp. 559--565 (in Russ.).

[2] Borshchev N.O., Antonov V.A. Thermal-hydraulic model of a two-phase circuit with a compensation cavity. Teplovye protsessy v tekhnike [Thermal Processes in Engineering], 2022, vol. 14, no. 4, pp. 167--177 (in Russ.). DOI: https://doi.org/10.34759/tpt-2022-14-4-167-177

[3] Zalmanovich S., Goncharov K. Radiators with LHP. Int. Conf. Heat Pipes for Space Application. Moscow, 2009, pp. 17--21 (in Russ.).

[4] Reid R.C., Prausnitz J.M., Poling B.E. The properties of gases and liquids. New York, McGraw-Hill, 1977.

[5] Kopyatkevich R.M., Gulya V.M., Tulin D.V., et al. Thermal designing and fragment-by-fragment ground development verification of thermal mode support system of non-pressurized spacecraft based on honeycomb panels with heat pipes. Kosmonavtika i raketostroenie [Cosmonautics and Rocket Engineering], 2010, no. 3, pp. 33--41 (in Russ.).

[6] Panin Yu.V., Antonov V.A., Balykin M.A. About design and operation of heat pipes as part of the thermal control systems of the landing module of interplanetary stations for the study of the solar system bodies. Vestnik NPO im. S.A. Lavochkina, 2021, no. 4, pp. 31--38 (in Russ.). DOI: https://doi.org/10.26162/LS.2021.54.4.005

[7] Gakal P.G., Ruzaykin V.I., Turna R.Yu., et al. Experimental facility for thermal hydraulic processes investigation in telecommunication satellites thermal control system. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya, 2011, no. 5, pp. 21--30 (in Russ.).

[8] Idelchik I.E. Spravochnik po gidravlicheskim soprotivleniyam [Handbook of hydraulic resistances]. Moscow, Mashinostroenie Publ., 1992.

[9] Belov A.E., Velikanov A.A., Ilmov D.N., et al. Numerical and experimental study of loop heat pipe steady-state performance. Therm. Eng., 2022, vol. 69, no. 3, pp. 190--201. DOI: https://doi.org/10.1134/S0040601522030028

[10] Afanasyev V.N., Nedayvozov A.V. Experimentally investigated thermo-hydraulic characteristics of the loop heat pipe with an open compensation chamber. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana [Science and Education: Scientific Publication], 2016, no. 11, pp. 38 --54 (in Russ.). Available at: http://engineering-science.ru/doc/849572.html

[11] Maydanik Yu.F., Pastukhov V.G., Ivanov A.V. Investigating a loop heat pipe operation with several heat sources of different power. Reshetnevskie chteniya [Reshetnev Readings], 2017, vol. 1, pp. 145--146 (in Russ.).

[12] Maydanik Yu.F., Vershinin S.V., Pastukhov V.G. A cooling panel with loop heat pipes for nonuniformly distributed heat sources. Reshetnevskie chteniya [Reshetnev Readings], 2015, vol. 1, pp. 206--208 (in Russ.).

[13] Maydanik Yu.F., Pastukhov V.G., Vershinin S.V. Development and application of miniature loop heat pipes. Reshetnevskie chteniya [Reshetnev Readings], 2014, vol. 1, pp. 90--91 (in Russ.).

[14] Van Yuy, Denisov O.V., Denisova L.V. Simulation of cooling of a processor in nanosatellite using the loop heat pipes. Vestnik Rossiyskogo universiteta druzhby narodov. Ser. Inzhenernye issledovaniya [RUDN Journal of Engineering Research], 2019, vol. 20, no. 3, pp. 211--219 (in Russ.). DOI: https://doi.org/10.22363/2312-8143-2019-20-3-211-219

[15] Maidanik Yu.F., Fershtater Yu.G. Theoretical basis and classification of loop heat pipes and circuits with capillary pumping. 10th Int. Conf. on Heat Pipes. Stuttgart, Germany, 1997.

[16] Kotlyarov E.Y., Serov G.P. Methods for improving the reliability of evaporators for contour heat pipes and circuits with capillary pumping. 24th Int. Conf. on Environmental Systems, Society of Automotive Engineers, 1994, report 941578.

[17] Borshchev N.O., Sorokin A.E., Belyavskiy A.E. Development of a thermal mathematical model of a contour heat pipe with a thermal accumulator. STIN, 2019, no. 9, pp. 37--40 (in Russ.).

[18] Minakov A.V., Guzey D.V., Zhigarev V.A. Turbulent forced convection of nanofluids in a circular channel. Uchenye zapiski Kazanskogo universiteta. Ser. Fiziko-matematicheskie nauki [Proceedings of Kazan University], 2015, vol. 157, no. 3, pp. 85--96 (in Russ.).

[19] Borshchev N.O., Yuranev O.A. Theoretical estimate of cooling time of a liquid hydrogen tank during structural tests. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2021, no. 12, pp. 83--89 (in Russ.). DOI: http://dx.doi.org/10.18698/0536-1044-2021-12-83-89

[20] Aminov D.M., Khafizov F.M. Experimental evaluation of the heat transfer of an infrared heating element. Innovatsionnaya nauka, 2016, no. 8-2, pp. 16--18 (in Russ.).

[21] Alifanov O.M., Ivanov N.A., Kolesnikov V.A. Methodology and algorithm determining the temperature dependence of thermal and physical characteristics for anisotropic materials basing on an inverse problem solution. Vestnik MAI [MAI Aerospace Journal], 2012, vol. 19, no. 5, pp. 14--20 (in Russ.). Available at: https://vestnikmai.ru/publications.php?ID=35690

[22] Knyazev V.A., Nikulin K.S. Effective heat-transfer coefficient in a flat parallel-plates duct with inhomogeneous heating. Voprosy atomnoy nauki i tekhniki. Ser. Fizika yadernykh reaktorov [Problems of Atomic Science and Engineering. Series: Physics of Nuclear Reactors], 2016, no. 1, pp. 56--64 (in Russ.).