Numerical simulations of subcooled boiling flow in vertical pipe at high pressure. (English) Zbl 1441.76005
Summary: The results of numerical modeling of hydrodynamics and heat and mass transfer at boiling of subcooled liquids in conditions of forced flow in vertical heated pipes are presented. The mathematical model is based on the use of Euler’s description of mass, motion and energy conservation for liquid and gas phases, recorded within the framework of the theory of interacting continua. The turbulent characteristics of the fluid are calculated using a modified model of transfer of components of the Reynolds stress tensor, taking into account the presence of the gaseous phase in the medium. For an approximate calculation of the heat transfer coefficient for bubble boiling of a liquid near the heat-generating wall, generalized empirical dependences are used, taking into account the various mechanisms of heat transfer in a two-phase vapor-liquid medium. Comparison of the results of numerical modeling with experimental data has shown that the proposed approach allows to simulate bubble boiling modes in a wide range of pressure values, mass flow rates, heating modes of subcooled liquids during forced turbulent fluid flow in vertical pipes.
MSC:
| 76-10 | Mathematical modeling or simulation for problems pertaining to fluid mechanics |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 80A19 | Diffusive and convective heat and mass transfer, heat flow |
References:
| [1] | B. I. Brounshtein and V. V. Shchegolev, Hydrodynamics, Mass and Heat Transfer in Column Devices (Khimiya, Leningrad, 1988) [in Russian]. |
| [2] | H. A. Jakobsen, Chemical Reactor Modelling (Springer, Switzerland, 1982). |
| [3] | A. M. Kutepov, L. S. Sterman, and H. G. Stushin, Hydrodynamics and Heat Exchange during Vaporization (Vyssh. Shkola, Moscow, 1986) [in Russian]. |
| [4] | R. I. Nigmatulin, Foundations of Mechanics of Heterogeneous Media (Nauka, Moscow, 1978) [in Russian]. |
| [5] | S. A. Kovalev and A. I. Leont’ev, “Achievements of the Russian scientists in the studies of heat transfer (review),” High Temp. 37, 954-952 (1999). |
| [6] | N. V. Tarasova and A. I. LeontTev, “Hydraulic resistance in the flow of steam-water mixture in a heated vertical pipe,” High Temp. 3, 115-123 (1965). |
| [7] | N. V. Tarasova, B. I. Khlopushin, and L. B. Boronina, “Local drag in surface boiling water in pipes,” High Temp. 5, 130-136 (1967). |
| [8] | G. G. Bartolomej and V. M. Chanturiya, “Experimental study of true void fraction when boiling subcooled water in vertical tubes,” Therm. Eng. 14, 123-128 (1967). |
| [9] | A. E. Gorelikova, N. Kashinskii, M. A. Pakhomov, B. B. Randin, V. I. Terekhov, and A. B. Chinak, “Turbulent flow structure and heat transfer in an inclined bubbly flow. Experimental and numerical investigation,” Fluid Dyn. 52, 117-129 (2017). · Zbl 1364.76064 · doi:10.1134/S0015462817010112 |
| [10] | A. N. Pavlenko, A. S. Surtaev, V. P. Koverda, V. N. Skokov, A. V. Reshetnikov, and A. V. Vinogradov, “Dynamics of transition processes and structure formation in critical heat and mass transfer regimes during liquid boiling and cavitation,” J. Eng. Thermophys. 18, 1-16 (2009). · doi:10.1134/S1810232809010044 |
| [11] | B. G. Pokusaev, A. Nekrasov, and E. A. Tairov, “Modeling of boiling of subcooled water and ethanol under conditions of pulsed heat generation in a wall,” High Temp. 50,84-90 (2012). · doi:10.1134/S0018151X12010130 |
| [12] | M. A. Pakhomov and V. I. Terekhov, “Modeling of turbulent structure and heat transfer of an upward polydisperse gas-liquid flow,” Tech. Phys. 60, 1268-1274 (2015). · Zbl 1325.76188 · doi:10.1134/S1063784215090157 |
| [13] | L. Cheng and G. Xia, “Fundamental issues, mechanisms and models of flow boiling heat transfer in microscale channels,” Int. J. Heat Mass Transfer 108,97-127 (2017). · doi:10.1016/j.ijheatmasstransfer.2016.12.003 |
| [14] | C. R. Mali, V. A. Vinod, and A. W. Patwardhan, “Comparison of phase interaction models for high pressure subcooled boiling flow in long vertical tubes,” Nucl. Eng. Des. 324, 337-359 (2017). · doi:10.1016/j.nucengdes.2017.09.010 |
| [15] | G. H. Yeoh and J. Y. Tu, “Thermal-hydrodynamic modeling of bubbly flows with heat and mass transfer,” AIChE J. 51, 8-27 (2005). · doi:10.1002/aic.10297 |
| [16] | J. R. T. Lahey and D. A. Drew, “On the development of multidimensional two-fluid models for vapor/liquid two-phase flows,” Chem. Eng. Commun. 118, 124-142 (1992). · doi:10.1080/00986449208936090 |
| [17] | D. A. Drew, “Mathematical modeling of two-phase flow,” Ann. Rev. Fluid Mech. 15, 261-296 (1983). · Zbl 0569.76104 · doi:10.1146/annurev.fl.15.010183.001401 |
| [18] | D. A. Gubaidullin and B. A. Snigerev, “Numerical simulation of the turbulent upward flow of a gas-liquid bubble mixture in a vertical pipe. Comparison with experimental data,” High Temp. 56, 61-70 (2018). · doi:10.1134/S0018151X18010078 |
| [19] | M. Z. Podowski and R. M. Podowski, “Mechanistic multidimensional modeling of forced convection boiling heat transfer,” Sci. Tech. Nucl. Install., 387020 (2009). · Zbl 0343.34045 |
| [20] | H. Krepper, C. Lifante, and T. Frank, “Cfd for subcooled flow boiling: Coupling wall boiling and population balance models,” Nucl. Eng. Des. 255, 330-346 (2013). · doi:10.1016/j.nucengdes.2012.11.010 |
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