Correlations of two-phase frictional pressure drop and void fraction in mini-channel. (English) Zbl 1180.80049
Summary: Alternative correlations of two-phase friction pressure drop and void fraction are explored for mini-channels based on the separated flow model and drift-flux model. By applying the artificial neural network, dominant parameters to correlate the two-phase friction multiplier and void fraction are picked out. It is found that in mini-channels the non-dimensional Laplace constant is a main parameter to correlate the Chisholm parameter as well as the distribution parameter. Both previous correlations and the newly developed correlations are extensively evaluated with a variety of data sets collected from the literature.
MSC:
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 80M25 | Other numerical methods (thermodynamics) (MSC2010) |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
Keywords:
frictional pressure drop; two phase; void fraction; flow boiling; mini-channel; small diameterReferences:
| [1] | Mishima, K.; Hibiki, T.; Nishihara, H.: Some characteristics of gas – liquid flow in narrow rectangular ducts, Int. J. Multiphase flow 19, 115-124 (1993) · Zbl 1144.76423 · doi:10.1016/0301-9322(93)90027-R |
| [2] | Mishima, K.; Hibiki, T.: Some characteristics of air – water two-phase flows in small diameter tubes, Int. J. Multiphase flow 22, 703-712 (1996) · Zbl 1135.76498 · doi:10.1016/0301-9322(96)00010-9 |
| [3] | Chisholm, D.: A theoretical basis for the lockhart – Martinelli correlation for two-phase flow, Int. J. Heat mass transfer 10, 1767-1778 (1967) |
| [4] | Triplett, K. A.; Ghiaasiaan, S. M.; Abdel-Khalik, S. I.; Lemouel, A.; Mccord, B. N.: Gas – liquid two-phase flow in microchannels. Part II: Void fraction and pressure drop, Int. J. Multiphase flow 25, 395-410 (1999) · Zbl 1137.76762 |
| [5] | L. Friedel, Improved friction pressure drop correlations for horizontal and vertical two-phase pipe flow, in: Proceedings of the European Two-Phase Flow Group Meeting, Ispra, Italy, 1979. |
| [6] | T.N. Tran, Pressure drop and heat transfer study of two-phase flow in small channels, Ph.D. Dissertation, Texas Tech University, Lubbock, TX, 1998. |
| [7] | Kawahara, A.; Chung, P. M. -Y.; Kawaji, M.: Investigation of two-phase flow pattern, void fraction and pressure drop in a microchannel, Int. J. Multiphase flow 28, 1411-1435 (2002) · Zbl 1137.76630 · doi:10.1016/S0301-9322(02)00037-X |
| [8] | Kariyasaki, A.; Fukano, T.; Ousaka, A.; Kagawa, M.: Isothermal air – water two-phase up- and downward flows in a vertical capillary tube (first report, flow pattern and void fraction), Trans. JSME (Ser. B) 58, 2684-2690 (1992) |
| [9] | Moriyama, K.; Inoue, A.; Ohira, H.: The thermohydraulic characteristics of two-phase flow in extremely narrow channels (the frictional pressure drop and void fraction of adiabatic two-component two-phase flow), Trans. JSME (Ser. B) 58, 401-407 (1992) |
| [10] | Bao, Z. Y.; Bosnick, M. G.; Haynes, B. S.: Estimation of void fraction and pressure drop for two-phase flow in fine passages, Trans. inst. Chem. eng. 72, 625-632 (1994) |
| [11] | T. Hazuku, N. Tamura, N. Fukamachi, T. Takamasa, T. Hibiki, M. Ishii, Axial development of vertical upward bubbly flow in a mini-pipe, in: Proceedings of the 2005 ASME Summer Heat Transfer Conference, San Francisco, California, USA, 2005. |
| [12] | Zhang, W.; Hibiki, T.; Mishima, K.: Correlation for flow boiling heat transfer in mini-channels, Int. J. Heat mass transfer 47, 5749-5763 (2004) |
| [13] | Zhang, W.; Hibiki, T.; Mishima, K.; Mi, Y.: Correlation of critical heat flux for flow boiling of water in mini-channels, Int. J. Heat mass transfer 49, 1058-1072 (2006) |
| [14] | Pao, Y. H.: Adaptive pattern recognition and neural networks, (1989) · Zbl 0748.68061 |
| [15] | Wasserman, P. D.: Neural computing: theory and practice, (1989) |
| [16] | Su, G. H.; Fukuda, K.; Jia, D.; Morita, K.: Application of an artificial neural network in reactor thermo-hydraulic problem: prediction of critical heat flux, J. nucl. Sci. technol. 39, 564-571 (2002) |
| [17] | Mi, Y.; Ishii, M.; Tsoukalas, L. H.: Flow regime identification methodology with neural networks and two-phase flow models, Nucl. eng. Des. 204, 87-100 (2001) |
| [18] | Lockhart, R. W.; Martinelli, R. C.: Proposed correlation of data for isothermal two-phase two-component flow in pipes, Chem. eng. Prog. 45, 39-48 (1949) |
| [19] | Zhang, M.; Webb, R. L.: Correlation of two-phase friction for refrigerants in small-diameter tubes, Exp. therm. Fluid sci. 25, 131-139 (2001) |
| [20] | Hewitt, G. F.; Hall-Taylor, N.: Annular two-phase flow, (1970) |
| [21] | Chisholm, D.; Laird, A. D. K.: Two-phase flow in rough tubes, Trans. ASME 80, 276-286 (1958) |
| [22] | Zhao, T. S.; Bi, Q. C.: Pressure drop characteristics of gas – liquid two-phase flow in vertical miniature triangular channels, Int. J. Heat mass transfer 44, 2523-2534 (2001) |
| [23] | Lee, H. J.; Lee, S. Y.: Pressure drop correlations for two-phase flow within horizontal rectangular channels with small heights, Int. J. Multiphase flow 27, 783-796 (2001) · Zbl 1137.76651 · doi:10.1016/S0301-9322(00)00050-1 |
| [24] | Chung, P. M. -Y.; Kawaji, M.: The effect of channel diameter on adiabatic two-phase flow characteristics in microchannels, Int. J. Multiphase flow 30, 735-761 (2004) · Zbl 1136.76486 · doi:10.1016/j.ijmultiphaseflow.2004.05.002 |
| [25] | Sadatomi, Y.; Sato, T.; Saruwatari, S.: Two-phase flow in vertical noncircular channels, Int. J. Multiphase flow 8, 641-655 (1982) |
| [26] | M. Ishii, One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. ANL Report ANL-77-47, 1977. |
| [27] | T. Takamasa, T. Hazuku, N. Fukamachi, N. Tamura, T. Hibiki, M. Ishii, Experimental study on interfacial area transport of bubbly flow in mini-channels, in: Proceedings of the Fifth International Conference on Multiphase Flow, Yokohama, Japan, Paper No. 490, 2004. |
| [28] | T. Hibiki, M. Ishii, One-dimensional drift-flux model for various flow conditions, in: Proceedings of the NURETH-11, Avignon, France, 2005, Paper No. 014. · Zbl 1189.76629 |
| [29] | Triplett, K. A.; Ghiaasiaan, S. M.; Abdel-Khalik, S. I.; Lemouel, A.; Mccord, B. N.: Gas – liquid two-phase flow in microchannels. Part I: Two-phase flow patterns, Int. J. Multiphase flow 25, 377-394 (1999) · Zbl 1137.76763 · doi:10.1016/S0301-9322(98)00054-8 |
| [30] | Hibiki, T.; Ishii, M.: Distribution parameter and drift velocity of drift-flux model in bubbly flow, Int. J. Heat mass transfer 45, 707-721 (2002) · Zbl 0991.76570 · doi:10.1016/S0017-9310(01)00195-8 |
| [31] | E.K. Ungar, J.D. Cornwell, Two-phase pressure drop of ammonia in small diameter horizontal tubes, in: Proceedings of the AIAA 17th Aerospace Ground Testing Conference, Nashville, TN, 1992. |
| [32] | Cavallini, A.; Col, D. D.; Doretti, L.; Matkovic, M.; Rossetto, L.; Zilio, C.: Two-phase frictional pressure gradient of r236ea, r134a and R410A inside multi-port mini-channels, Exp. therm. Fluid sci. 29, 861-870 (2005) |
| [33] | Yu, W.; France, D. M.; Wambsganss, M. W.; Hull, J. R.: Two-phase pressure drop, boiling heat transfer, and critical heat flux to water in a small-diameter horizontal tube, Int. J. Multiphase flow 28, 927-941 (2002) · Zbl 1136.76691 · doi:10.1016/S0301-9322(02)00019-8 |
| [34] | Kandlikar, S. G.: Fundamental issues related to flow boiling in minichannels and microchannels, Exp. therm. Fluid sci. 26, 389-407 (2002) |
| [35] | Liu, H.; Vandu, C. O.; Krishna, R.: Hydrodynamics of Taylor flow in vertical capillaries: flow regimes, bubble rise velocity, liquid slug length, and pressure drop, Ind. eng. Chem. res. 44, 4884-4897 (2005) |
| [36] | Dukler, A. E.; Iii, M. Wicks; Cleveland, R. G.: Pressure drop and hold-up in two-phase flow, Aiche J. 10, 38-51 (1964) |
| [37] | Beattie, D. R. H.; Whalley, P. B.: A simple two-phase flow frictional pressure drop calculation method, Int. J. Multiphase flow 8, 83-87 (1982) |
| [38] | Akers, W. W.; Deans, H. A.; Crosser, O. K.: Condensation heat transfer within horizontal tubes, Chem. eng. Prog. symp. Ser. 55, 171-176 (1959) |
| [39] | Qu, W.; Mudawar, I.: Measurement and prediction of pressure drop in two-phase micro-channel heat sinks, Int. J. Heat mass transfer 46, 2737-2753 (2003) |
| [40] | Lee, J.; Mudawar, I.: Two-phase flow in high-heat-flux micro-channel heat sink for refrigeration cooling applications. Part I: Pressure drop characteristics, Int. J. Heat mass transfer 48, 928-940 (2005) |
| [41] | Collier, J. G.; Thome, J. R.: Convective boiling and condensation, (1994) |
| [42] | Serizawa, A.; Feng, Z.; Kawara, Z.: Two-phase flow in microchannels, Exp. therm. Fluid sci. 26, 703-714 (2002) |
| [43] | Armand, A. A.: The resistance during the movement of a two-phase system in horizontal pipes, Izv. vses. Teplotekh. inst. 1, 16-23 (1946) |
| [44] | Kawahara, A.; Sadatomi, M.; Okayama, K.; Kawaji, M.; Chung, P. M. -Y.: Effects of channel diameter and liquid properties on void fraction in adiabatic two-phase flow through microchannels, Heat transfer eng. 26, 13-19 (2005) |
| [45] | Mcadams, W. H.: Heat transmission, (1942) |
| [46] | Cicchitti, A.; Lombardi, C.; Silvestri, M.; Solddaini, G.; Zavalluilli, R.: Two-phase cooling experiments – pressure drop, heat transfer and burnout measurement, Energ. nucl. 7, 407-425 (1960) |
| [47] | Lin, S.; Kwok, C. C. K.; Li, R. Y.; Chen, Z. H.; Chen, Z. Y.: Local frictional pressure drop during vaporization for R-12 through capillary tubes, Int. J. Multiphase flow 17, 95-102 (1991) · Zbl 1134.76596 · doi:10.1016/0301-9322(91)90072-B |
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