Theoretical Estimate of Cooling Time of a Liquid Hydrogen Tank during Structural Tests
Authors: Borschev N.O., Yuranev O.A. | Published: 15.11.2021 |
Published in issue: #12(741)/2021 | |
Category: Aviation, Rocket and Technology | Chapter: Aircraft Strength and Thermal Modes | |
Keywords: radiant-convective heat exchange, gaseous helium, aluminum tank, convective heat transfer, hydrogen tank, thermal conductivity equation |
Russian enterprises continue developing rocket and space vehicles based on cryogenic propellants, i.e. liquid hydrogen, oxygen, and methane. Hence, the issues of fuel tanks’ thermal strength are increasingly important. During structural tests, the operating temperatures of the test object should be simulated, since the temperature condition affects the strength and rigidity of the structure. Consequently, during ground-based experimental tests, hydrogen tanks must be cooled down to 20 K, the boiling point of hydrogen. JSC TsNIIMash is developing a helium system capable of cooling large-sized structures to a temperature of 20 K. Helium can be used in a gaseous state to cool down the structure, since the boiling point of helium, 4 K, is lower than the boiling point of hydrogen. Until now, the tanks were cooled only by filling with liquid nitrogen, therefore the temperature state of the tanks during the tests was simulated only for this case. In order to determine the applicability of the method developed, the cooling time of large-sized containers was estimated by cooling a hydrogen tank, which by its dimensions is typical for an advanced medium-class second stage launcher, to 20 K by gaseous helium.
References
[1] Panichkin N.G., ed. TsNIImash. Tsentr issledovaniy prochnosti. Istoriya razvitiya [TsNIImash. Center of strength studies. History of development]. Korolev, TsNIImash Publ., 2001. 342 p. (In Russ.).
[2] Vasyukova D.A., Kolozeznyy A.E., Yuranev O.A. Using cryogenic helium system for exploitation temperatures imitation in strength tests of liquid hydrogen tanks of advanced launch vehicles. Kosmonavtika i raketostroenie [Cosmonautics and Rocket Engineering], 2012, no. 2, pp. 179–186. (In Russ.).
[3] Vasyukova D.A., Kolozeznyy A.E., Yuranev O.A. Effective approach to control strength test works for cryogenic tanks of advanced launch vehicles. Aviakosmicheskaya tekhnika i tekhnologiya [Aerospace technology], 2013, no. 1, pp. 23–25. (In Russ.).
[4] Vasyukova D.A., Kolozeznyy A.E., Yuranev O.A. Qualification of method for prediction of gas free convection cooling of the full-scaledtest article of a launcher cryogenic tank. Polet [Flight], 2015, no. 7, pp. 18–24. (In Russ.).
[5] Yuranev O.A. Investigating various ways of cooling cryogenic fuel tanks of aerospace equipment. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Mashinostr. [Herald of the Bauman Moscow State Tech. Univ., Mechan. Eng.], 2018, no. 3, pp. 50–57, doi: http://dx.doi.org/10.18698/0236-3941-2018-3-50-57 (in Russ.).
[6] Gorbachev S.P., Popov V.P., Slavin M.V. Determination of cooling time for cryogenic tank. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2006, no. 5, pp. 43–53. (In Russ.).
[7] Aleksandrov A.A., Barmin I.V., Denisova K.I., et al. Innovative model of liquid nitrogen application for cooling rocket fuel tanks filling the ground-based systems. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2017, no. 3, pp. 4–17, doi: http://dx.doi.org/10.18698/0236-3941-2017-3-4-17 (in Russ.).
[8] Denisov O.E., Zolin A.V., Chugunkov V.V. Simulation methods of rocket fuel refrigerating with liquid nitrogen and intermediate heat carrier. Nauka i obrazovanie: nauchnoe izdanie [Science and Education: Scientific Publication], 2014, no. 3, URL: http://engineering-science.ru/doc/699941.html (in Russ.).
[9] Gorbachev S.P., Kirienko K.I. Simulation of the filling modes of cryogenic capacitive equipment. Vesti gazovoy nauki, 2015, no. 1, pp. 124–132. (In Russ.).
[10] Aleksandrov A.A., Barmin I.V., Kunis I.D., et al. Characteristic features of creating and developing cryogenic systems of space-rocket launch complex "Soyuz". Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Mashinostr. [Herald of the Bauman Moscow State Tech. Univ., Mechan. Eng.], 2016, no. 2, pp. 7–27, doi: http://dx.doi.org/10.18698/0236-3941-2016-2-7-27 (in Russ.).
[11] Safonov V.S. Substantiation of operating conditions for industrial pipe-lines of liquefied natural gas complexes with provision for safety requirements. Vesti gazovoy nauki, 2017, no. 1, pp. 83–99. (In Russ.).
[12] Bermant A.F. Kratkiy kurs matematicheskogo analiza [Short course of mathematical analysis]. Moscow, Nauka Publ., 1965. 664 p. (In Russ.).
[13] Martynenko O.G., Sokovishin Yu.A. Svobodno-konvektivnyy teploobmen [Free convective heat transfer]. Minsk, Nauka i tekhnika Publ., 1982. 399 p. (In Russ.).
[14] Dekker K., Verwer J.G. Stability of Runge-Kutta methods for stiff nonlinear differential equations. Elsevier Science, 1984. 307 p. (Russ. ed.: Ustoychivost’ metodov Runge-Kutty dlya zhestkikh nelineynykh differentsial’nykh uravneniy. Moscow, Mir Publ., 1988. 332 p.).
[15] Sychev V.V., Vasserman A.A., Kozlov A.D., et al. Termodinamicheskie svoystva geliya [Thermodynamics properties of helium]. Moscow, Izd-vo standartov Publ., 1984. 320 p. (In Russ.).