Improved Drift Flux Void Fraction Model for Horizontal Gas-liquid Intermittent Flow

Document Type : Regular Article

Authors

1 Faculty of Mechanical and Process Engineering, University of Sciences and Technology Houari Boumediene, BP 32 El Alia, Bab Ezzouar, Algiers 16111, Algeria 2/ Polytechnic National School, BP 182, El Harrach, Algiers 16200, Algeria.

2 Polytechnic National School, BP 182, El Harrach, Algiers 16200, Algeria

3 Department of Mechanical Engineering, Center for Integrated Petroleum Research, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Abstract

Drift Flux model is widely used in literature to predict void fraction in two-phase gas-liquid flow. Drift flux model has been used for all flow regimes. The distribution parameter implemented in the model is very crucial for the accuracy of the model. A new distribution parameter was developed in this paper as a function of two dimensionless parameters and flow regime (slug or plug). The new model showed a superior predicted void fraction accuracy over all available models in literature. In this paper, the influence of the flow regimes was implemented in the formulation of the drift flux model distribution parameter for the first time in literature. The drift velocity was found to be negligible in the horizontal configuration. The proposed model was validated using unbiased data from literature from different sources and for a wide range of liquid viscosity from water up to high viscosity oil (600 cP) and pipe diameter from 19 mm up to 152 mm. The mean relative absolute error of the proposed model using all data bank is around 16% while the least error model available in literature is around 19%. Moreover, the most recent models of Rassame and Hibiki (2018) and Kong et al. (2018b) give 33% and 50%, respectively.

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Main Subjects


Abdulkadir, M., V. Hernandez-Perez, C. A. Kwatia, and B. J. Azzopardi (2018). Interrogating flow development and phase distribution in vertical and horizontal pipes using advanced instrumentation. Chemical Engineering Science 186, 152-167.##
Abdulkadir, M., V. Hernandez-Perez, I. S. Lowndes, B. J. Azzopardi and E. Sam-Mbomah (2016). Experimental study of the hydrodynamic behaviour of slug flow in a horizontal pipe. Chemical Engineering Science 156, 147-161.##
Andritsos, N., L. Williams and T. J. Hanratty (1989). Effect of liquid viscosity on the stratified-slug transition in horizontal pipe flow. International Journal of Multiphase Flow 15, 877-892.##
Arabi, A., A. Azzi, R. Kadi, A. Al-Sarkhi and B. Hewakandamby (2021). Empirical modelization of intermittent gas/liquid flow hydrodynamic parameters: the importance of distinguishing between plug and slug flows. SPE Production & Operations 36, 703-720.##
Arabi, A., Y. Salhi, Y. Zenati, E. K. Si-Ahmed and J. Legrand (2020a). On gas-liquid intermittent flow in a horizontal pipe: Influence of sub-regime on slug frequency. Chemical Engineering Science 211.##
Arabi, A., K. Ragui, Y. Salhi and A. Filali (2020b). Slug frequency for a gas-liquid plug flow: Review and development of a new correlation. International Communications in Heat and Mass Transfer 118.##
Beattie, D. R. H. and S. Sugawara (1986). Steam-water void fraction for vertical upflow in a 73.9 mm pipe. International Journal of Multiphase Flow 12, 641-653.##
Chexal, B., G. Lellouche, J. Horowitz and J. Healzer (1992). A void fraction correlation for generalized applications. Progress in Nuclear Energy 27, 255-295.##
Choi, J., E. Pereyra, C. Sarica, C. Park and J. M. Kang (2012). An efficient drift-flux closure relationship to estimate liquid holdups of gas-liquid two-phase flow in pipes. Energies 5, 5294-5306.##
Clark, N. and R. Flemmer (1986). The effect of varying gas voidage distributions on average holdup in vertical bubble flow. International Journal of Multiphase Flow 12, 299-302.##
Da Silva, M. J., U. H. De Helmholtz, Z. Dresden-Rossendorf, C. E. F. Do Amaral and R. E. M. Morales (2011). Experimental investigation of horizontal gas-liquid slug flow by means of wire-mesh sensor. Journal of the Brazilian Society of Mechanical Sciences and Engineering 33, 234-242.##
Dang, Z., Z. Yang, X. Yang and M. Ishii (2018). Experimental study of vertical and horizontal two-phase pipe flow through double 90 degree elbows. International Journal of Heat and Mass Transfer 120, 861-869.##
Dong, C., S. Rassame, L. Zhang and T. Hibiki (2020). Drift-flux correlation for upward two-phase flow in inclined pipes. Chemical Engineering Science 213.##
Fabre, J. and A. Liné 1992. Modeling of Two-Phase Slug Flow. Annual Review of Fluid Mechanics 24, 21-46.##
França, F. and R. T. Lahey (1992). The use of drift-flux techniques for the analysis of horizontal two-phase flows. International Journal of Multiphase Flow 18, 787-801.##
Ghajar, A. J. (2020). Two-Phase Gas-Liquid Flow in Pipes With Different Orientations, 1st ed. ed. Springer, Switzerland.##
Gokcal, B., Q. Wang, H. Q. Zhang and C. Sarica (2008). Effects of high oil viscosity on oil/gas flow behavior in horizontal pipes. SPE Projects, Facilities & Construction 3, 1-11.##
Gomez, L. E., O. Shoham, Z. Schmidt, R. N. Chokshi and T. Northug (2000). Unified mechanistic model for steady-state two-phase flow: horizontal to vertical upward flow. SPE Journal 5, 339-350.##
Greskovich, E. J. and W. T. Cooper (1975). Correlation and prediction of gas-liquid holdups in inclined upflows. AIChE Journal 21, 1189-1192.##
Hibiki, T. (2019). One-dimensional drift-flux correlations for two-phase flow in medium-size channels. Experimental and Computational Multiphase Flow 1, 85-100.##
Hibiki, T. and M. Ishii (2001). Distribution parameter and drift velocity of drift-flux model in bubbly flow. International Journal of Heat and Mass Transfer 45, 707-721.##
Hibiki, T. and M. Ishii (2003a). One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. International Journal of Heat and Mass Transfer 46, 4935-4948.##
Hibiki, T. and M. Ishii (2003b). One-dimensional drift–flux model for two-phase flow in a large diameter pipe. International Journal of Heat and Mass Transfer 46, 1773-1790.##
Ishii, M. (1977). One-Dimensional Drift-Flux Model and Constitutive Equations for Relative Motion Between Phases in Various Two-Phase Flow Regimes. Argonne Natl. Lab., IL, USA.##
Kataoka, I. and M. Ishii (1987). Drift flux model for large diameter pipe and new correlation for pool void fraction. International Journal of Heat and Mass Transfer 30, 1927-1939.##
Kokal, S. L. and J. F. Stanislav (1989). An experimental study of two-phase flow in slightly inclined pipes—I. Flow patterns. Chemical Engineering Science 44, 665-679.##
Kong, R. (2018). Characterization of Horizontal Air-Water Two-Phase Flow in Different Pipe Sizes. Open Access Diss. Purdue University, West Lafayette, Indiana.##
Kong, R., A. Rau, S. Kim, S. Bajorek, K. Tien and C. Hoxie (2018a). Experimental study of horizontal air-water plug-to-slug transition flow in different pipe sizes. International Journal of Heat and Mass Transfer 123, 1005-1020.##
Kong, R., Q. Zhu, S. Kim, M. Ishii, S. Bajorek, K. Tien and C. Hoxie (2018b). Void fraction prediction and one-dimensional drift-flux analysis for horizontal two-phase flow in different pipe sizes. Experimental Thermal and Fluid Science 99, 433-445.##
Lamari, M. L. (2001). An Experimental Investigation of Two-Phase (Air-Water) Flow Regimes in a Horizontal Tube at Near Atmospheric Conditions. The Ottawa-Carleton Institute for Mechanical and Aerospace Engineering, Ottawa, Ontario.##
Lu, C., R. Kong, S. Qiao, J. Larimer, S. Kim, S. Bajorek, K. Tien and C. Hoxie (2018). Frictional pressure drop analysis for horizontal and vertical air-water two-phase flows in different pipe sizes. Nuclear Engineering and Design 332, 147-161.##
Mandhane, J. M., G. A. Gregory and K. Aziz (1974). A flow pattern map for gas—liquid flow in horizontal pipes. International Journal of Multiphase Flow 1, 537-553.##
Mattar, L. and G. A Gregory, (1974). Air-Oil Slug Flow in An Upward-Inclined Pipe - 1: Slug Velocity, Holdup and Pressure Gradient. Journal of Canadian Petroleum Technology 13, 69-76.##
Mishima, K. and T. Hibiki (1996). Some characteristics of air-water two-phase flow in small diameter vertical tubes. International Journal of Multiphase Flow 22, 703-712.##
Mohmmed, A. O., H. H. Al-Kayiem and A. B. Osman (2021). Investigations on the slug two-phase flow in horizontal pipes: Past, presents, and future directives. Chemical Engineering Science 238, 116611.##
Rassame, S. and T. Hibiki (2018). Drift-flux correlation for gas-liquid two-phase flow in a horizontal pipe. International Journal of Heat and Mass Transfer 69, 33-42.##
Rouhani, S. Z. and E. Axelsson (1970). Calculation of void volume fraction in the subcooled and quality boiling regions. International Journal of Heat and Mass Transfer 13, 383-393.##
Sassi, P., G. Fernández, Y. Stiriba and J. Pallarès (2022). Effect of solid particles on the slug frequency, bubble velocity and bubble length of intermittent gas–liquid two-phase flows in horizontal pipelines. International Journal of Multiphase Flow 149, 103985.##
Shi, H., J. A. Holmes, L. J. Durlofsky, K. Aziz, L. R. Diaz Teran Ortegon, B. Alkaya  and G. Oddie (2005). Drift-flux modeling of two-phase flow in wellbores. SPE Journal 10, 24-33.##
Thaker, J. and J. Banerjee (2015). Characterization of two-phase slug flow sub-regimes using flow visualization. Journal of Petroleum Science and Engineering 135, 561-576.##
Thaker, J. and J. Banerjee (2017). Transition of plug to slug flow and associated fluid dynamics. International Journal of Multiphase Flow 91, 63-75.##
Woldesemayat, M. A. and A. J. Ghajar (2007). Comparison of void fraction correlations for different flow patterns in horizontal and upward inclined pipes. International Journal of Multiphase Flow 4, 347-370.##
Zeghloul, A., A. Messilem, N. Ghendour, A. Al-sarkhi, A. Azzi and A. Hasan (2020). Theoretical study and experimental measurement of the gas liquid two-phase flow through a vertical Venturi meter. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 0, 1-18.##
Zuber, N. and J. A. Findlay (1965). Average volumetric concentration in two-phase flow systems. ASME Journal of Heat and Mass Transfer 87, 453-468.##