539.3 Mathematical modelling of conjugate natural convection in vapor and liquid during ventless storage of cryogenic fuel components
Gordonov A. O. (АО ГНЦ "Центр Келдыша")
VENTLESS STORAGE, CRYOGENIC FUEL COMPONENT, NATURAL CONVECTION, BOUSSINESQ APPROACH, LOW MUCH NUMBER APPROACH, HOMOBARISITY APPROACH, NUMERICAL MODELLING
doi: 10.18698/2309-3684-2020-3-4767
Method for numerical modelling of natural convection heat and mass transfer in liquid and vapor phases during ventless storage of cryogenic fuel components in tanks is presented in this paper. The proposed mathematical model is based on low Much number approach for vapor phase and Boussinesq approach for liquid phase. Method for numerical modelling of inhomogeneous initial conditions in vapor phase is given. Presented model and method is validated using experimental data for ventless storage of liquid hydrogen and nitrogen.
[1] Landau L.D., Lifshic E.M. Teoreticheskaya fizika. Tom IV. Gidrodinamika [Theoretical Physics. Vol. IV. Hydrodynamics]. Moscow, Nauka Publ., 1986, 736 p.
[2] Polezhaev V.I., Cherkasov S.G. Nestacionarnaya teplovaya konvekciya v cilindricheskom sosude pri bokovom podvode tepla [Nonstationary thermal convection in a cylindrical vessel with a side heat supply]. Izvestiya Akademii nauk SSSR. Mekhanika zhidkosti i gaza [Proceedings of the USSR Academy of Sciences. Fluid and Gas Mechanics], 1983, no. 4, pp. 148–157.
[3] Moisseva L.A., Cherkasov S.G. Matematicheskoe modelirovanie estestven-noj konvekcii v vertikal'nom cilindricheskom bake pri znakoperemennom raspredelenii teplovogo potoka na stenke [Mathematical modeling of natural convection in a vertical cylindrical tank with alternating heat flow distribution on the wall]. Izvestiya Rossijskoj akademii nauk. Mekhanika zhidkosti i gaza [Proceedings of the Russian Academy of Sciences. Mechanics of Liquid and Gas], 1996, no. 2, pp. 66–72.
[4] Cherkasov S.G., Mironov V.V., Mironova N.A., Moiseeva L.A. Method of calculation of pressure velocity growth at non-drainage storage of liquid hydrogen in enclosures. Izvestiya Rossijskoj akademii nauk. Energetika [Proceedings of the Russian Academy of Sciences. Mechanics of Liquid and Gas], 2012, no. 4, pp. 151–159.
[5] Amirkhanyan N.V., Cherkasov S.G. Theoretical analysis and procedure for the calculation of thermophysical processes occurring in a cryogenic vessel under conditions of nonvented storage. High Temperature, 2001, vol. 39, no. 6, pp. 905–911.
[6] Ward W.D., et al. Evaluation of AS-203 Low-Gravity Orbital Experiment. NASA CR 94045. Chrysler Corp. Space Div. Technical Report BB-3.4.3-5-101, 1967.
[7] Gray D.G., Giorgini A. The validity of the boussinesq approximation for liquids and gases. International Journal of Heat and Mass Transfer, 1976, vol. 19, pp. 545–551.
[8] Paolucci S. Filtering of Sound from the Navier-Stokes Equations. Sandia National Laboratories, Livermore, 1982.
[9] Lapin Yu.V., Strelec M.H. Vnutrennie techeniya gazovyh smesej [Internal flows of gas mixtures]. Moscow, Nauka Publ., 1989, 368 p.
[10] Cherkasov S.G. Some special features of description of thermal and dynamic processes in gases in the approximation of homobaricity. High Temperature, 2010, vol. 48, no. 3, pp. 422–426.
[11] Cherkasov S.G., Laptev I.V., Ananyev A.V., Gorodnov A.O. Pressure rise during unsteady natural convection of hydrogen vapor in a vertical cylinder with isothermal bottom boundary. Teplovye processy v tekhnike [Thermal processes in engineering], 2019, vol. 11, no. 5, pp. 203–215.
[12] Kartuzova O., Kassemi M., Agui J., Moder J. Self-pressurization and spray cooling simulations of the multipurpose hydrogen test bed (MHTB) ground-based experiment. 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference 2014, 2014. DOI:10.2514/6.2014-3578
[13] Panzarella C.H., Kassemi M. Self-pressurization of large cryogenic tank in space. Journal of Spacecraft and Rockets, 2005, vol. 42, no. 2, pp. 299–308.
[14] Grayson G., Lopez A., Chandler F., Hastings L., Hedayat A., Brethour J. CFD modeling of helium pressurant effects on cryogenic tank pressure rise rates in normal gravity. Collection of Technical Papers — 43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference, 2007, vol. 5, pp. 4956–4965.
[15] Ferziger J.H., Peric M. Computational methods for fluid dynamics. New York, Springer, 2002, 423 p.
[16] Lykov A.V. Teoriya teploprovodnosti [Theory of thermal conductivity]. Moscow, Vysshaya shkola Publ., 1967, 600 p.
[17] Valtsiferov Yu.V., Dronov V.P. Chislennoe modelirovanie konvektivnogo teploobmena v tonkostennom cilindricheskom sosude s polusfericheskimi dnishchami, polnost'yu zapolnennom zhidkost'yu [Numerical simulation of convective heat transfer in a thin-walled cylindrical vessel with hemispherical bottoms completely filled with liquid]. Izvestiya Akademii nauk SSSR. Mekhanika zhidkosti i gaza [Proceedings of the USSR Academy of Sciences. Fluid and Gas Mechanics], 1984, no. 5, pp.204 –207.
[18] Verkin B. I., Kirichenko Yu. A., Rusanov K. V. Teploobmen pri kipenii krio-gennyh zhidkostej [Heat transfer during the boiling of cryogenic liquids]. Kiev, Nauk. Dumka Publ., 1987, 264 p.
[19] Patankar S. Numerical heat transfer and fluid flow. Washington, DC, Hemisphere Publishing Corporation, 1980, 210 p.
[20] Quazzani J., Garrabos Y. A new numerical algorithm for low Mach number supercritical fluid. Preprint Elsevier, 2007, 10 p.
[21] Samarskij A.A. Teoriya raznostnyh skhem [Theory of difference schemes]. Moscow, Nauka Publ., 1989, 616 p.
[22] Chung T.J. Computational fluid dynamics. Cambridge, Cambridge university press, 2010, 1012 p.
[23] Seo M., Jeong S. Analysis of self-pressurization phenomenon of cryogenic fluid storage tank with thermal diffusion model. Cryogenics, 2010, vol. 50, no. 9, pp. 549–555.
[24] Belyayev A.Yu., Ivanov A.V., Egorov S.D., Voyteshonok V.S., Mironov V.M. Pathways to solve the problem of cryogenic rocket propellant long storage in space. Proceedings of the International Aerospace Congress, Moscow, Russia, 1994, vol. 1, pp. 558–562.
[25] Grigoriev I.S., Meilikhov E.Z. Fizicheskie velichiny [Physical quantities]. Moscow, Energoatomizdat Publ., 1991, 1232 p.
[26] Solntsev Yu.P., Ermakov B.S., Sleptsov O.I. Materialy dlya nizkih i kriogennyh temperatur: enciklopedicheskij spravochnik [Materials for low and cryogenic temperatures: an encyclopedic reference]. Saint-Petersburg, Himizdat Publ., 2008, 768 p.
[27] Vargaftik N.B. Spravochnik po teplofizicheskim svojstvam gazov i zhidkostej [Handbook of thermophysical properties of gases and liquids]. Moscow, Nauka Publ., 1972, 720 p.
Городнов А.О. Математическое моделирование сопряженной естественной конвекции в паре и жидкости при бездренажном хранении криогенных компонентов топлива. Математическое моделирование и численные методы, 2020, № 3, с. 47–67.
Download article
Количество скачиваний: 665