Modeling the pressure drop of wet gas in horizontal pipe

doi:10.1016/j.cjche.2016.10.024

›› 2017, Vol. 25 ›› Issue (7): 829-837.DOI: 10.1016/j.cjche.2016.10.024

• Fluid Dynamics and Transport Phenomena • Next Articles

Modeling the pressure drop of wet gas in horizontal pipe

Peining Yu¹, Yi Li¹, Jing Wei², Ying Xu³, Tao Zhang³

1 Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China;
2 CFHI Tianjin C-E Electrical Automation Co. Ltd, Tianjin 300457, China;
3 School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

Received:2016-07-06 Revised:2016-10-11 Online:2017-08-17 Published:2017-07-28
Supported by:
Supported by the National Nature Science Foundation of China (61603207 and 61571252) and Tsinghua University Shenzhen Graduate School Grant (050100001).

Modeling the pressure drop of wet gas in horizontal pipe

Peining Yu¹, Yi Li¹, Jing Wei², Ying Xu³, Tao Zhang³

1 Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China;
2 CFHI Tianjin C-E Electrical Automation Co. Ltd, Tianjin 300457, China;
3 School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

通讯作者: Yi Li,E-mail address:liyi@sz.tsinghua.edu.cn
基金资助:
Supported by the National Nature Science Foundation of China (61603207 and 61571252) and Tsinghua University Shenzhen Graduate School Grant (050100001).

Abstract

Abstract: A model for gas-liquid annular and stratified flow through a horizontal pipe is investigated, using the two-phase hydrokinetics theory. Taking into consideration the flow factors including the void fraction, the friction between the two phases and the entrainment in the gas core, the one-dimensional momentum equation for gas has been solved. The differential pressure of the wet gas between the two tapings in the straight pipe has been modeled in the pressure range of 0.1-0.8 MPa. In addition a more objective iteration approach to determine the local void fraction is proposed. Compared with the experimental data, more than 83% deviation of the test data distributed evenly within the band of ±10%. Since the model is less dependent on the specific empirical apparatus and data, it forms the foundation for further establishing a flow measurement model of wet gas which will produce fewer biases in results when it is extrapolated.

Key words: Gas-liquid flow, Pressure drop, Hydrodynamics, Model

摘要： A model for gas-liquid annular and stratified flow through a horizontal pipe is investigated, using the two-phase hydrokinetics theory. Taking into consideration the flow factors including the void fraction, the friction between the two phases and the entrainment in the gas core, the one-dimensional momentum equation for gas has been solved. The differential pressure of the wet gas between the two tapings in the straight pipe has been modeled in the pressure range of 0.1-0.8 MPa. In addition a more objective iteration approach to determine the local void fraction is proposed. Compared with the experimental data, more than 83% deviation of the test data distributed evenly within the band of ±10%. Since the model is less dependent on the specific empirical apparatus and data, it forms the foundation for further establishing a flow measurement model of wet gas which will produce fewer biases in results when it is extrapolated.

关键词: Gas-liquid flow, Pressure drop, Hydrodynamics, Model

Peining Yu, Yi Li, Jing Wei, Ying Xu, Tao Zhang. Modeling the pressure drop of wet gas in horizontal pipe[J]. , 2017, 25(7): 829-837.

References

[1] I. ISO, TR 11583, Measurement of Wet Gas Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits, ISO, Switzerland, 2012.
[2] R. Lockhart, R. Martinelli, Proposed correlation of data for isothermal two-phase, two-component flow in pipes, Chem. Eng. Prog. 45(1949) 39-48.
[3] G.F. Hewitt, Measurement of Two Phase Flow Parameters, Nasa Sti/Recon Technical Report a, 79, 197847262.
[4] G.B. Wallis, One-dimensional Two-phase Flow, McGraw-Hill Companies, 1969.
[5] D. Chisholm, A theoretical basis for the Lockhart-Martinelli correlation for twophase flow, Int. J. Heat Mass Transf. 10(1967) 1767-1778.
[6] J. Hart, P. Hamersma, J. Fortuin, Correlations predicting frictional pressure drop and liquid holdup during horizontal gas-liquid pipe flow with a small liquid holdup, Int. J. Multiphase Flow 15(1989) 947-964.
[7] E. Grolman, J.M. Fortuin, Gas-liquid flow in slightly inclined pipes, Chem. Eng. Sci. 52(1997) 4461-4471.
[8] P. Yu, Y. Xu, T. Zhang, Z. Zhu, X. Ba, J. Li, Z. Qin, A study on the modeling of static pressure distribution of wet gas in Venturi, AIChE J 61(2015) 699-708.
[9] J. Murdock, Two-phase flow measurement with orifices, J. Basic Eng. 84(1962) 419-432.
[10] D. Chisholm, Flow of incompressible two-phase mixtures through sharp-edged orifices, J. Mech. Eng. Sci. 9(1967) 72-78.
[11] R. De Leeuw, Liquid correction of Venturi meter readings in wet gas flow, North Sea Flow Measurement Workshop, 1997.
[12] R.N. Steven, Wet gas metering with a horizontally mounted Venturi meter, Flow Meas. Instrum. 12(2002) 361-372.
[13] J.T. Fanning, A Practical Treatise on Hydraulic and Water-supply Engineering, Ripol Classic, New York, 1892.
[14] J.B. Franzini, E.J. Finnemore, R.L. Daugherty, Fluid Mechanics with Engineering Applications, McGraw-Hill College, 1997.
[15] H. Blasius, Communication on Research in the Field of Engineering, Springer, Berlin, 1913.
[16] C.F. Colebrook, T. Blench, H. Chatley, E. Essex, J. Finniecome, G. Lacey, J. Williamson, G. Macdonald, Correspondence. Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws. (Includes plates), J Ins Civ. Eng. 12(1939) 393-422.
[17] W. Shi, W. Huang, Y. Zhou, H. Chen, D. Pan, Hydrodynamics and pressure loss of concurrent gas-liquid downward flow through sieve plate packing, Chem. Eng. Sci. 143(2016) 206-215.
[18] C.A. Konishi, W. Qu, Toward a generalized correlation for liquid-vapor two-phase frictional pressure drop across staggered micro-pin-fin arrays, Int. Commun. Heat Mass 75(2016) 253-261.
[19] M. Abdel-Aziz, M. El-Abd, M. Bassyouni, Heat and mass transfer in three phase fluidized bed containing high density particles at high gas velocities, Int. J. Therm. Sci. 102(2016) 145-153.
[20] J. Nikuradse, Laws of flow in rough pipes, National Advisory Committee for Aeronautics, Washington, 1950.
[21] D. Schubring, T. Shedd, A model for pressure loss, film thickness, and entrained fraction for gas-liquid annular flow, Int. J. Heat Fluid Flow 32(2011) 730-739.
[22] M. Van Werven, H. Van Maanen, G. Ooms, B. Azzopardi, Modeling wet-gas annular/dispersed flow through a venturi, AIChE J 49(2003) 1383-1391.
[23] S.E. Haaland, Simple and explicit formulas for the friction factor in turbulent pipe flow, J. Fluids Eng. 105(1983) 89-90.
[24] B. Azzopardi, A. Govan, The modelling of Venturi scrubbers, In:Filtech Conference 1983, pp. 274-285.
[25] L. Pan, T.J. Hanratty, Correlation of entrainment for annular flow in horizontal pipes, Int. J. Multiphase Flow 28(2002) 385-408.
[26] A. Al-sarkhi, C. Sarica, Modeling of the droplet entrainment fraction in adiabatic gas-liquid annular flow, Multiph. Sci. Technol. 25(2013) 1-23.
[27] M.A. Woldesemayat, A.J. Ghajar, Comparison of void fraction correlations for different flow patterns in horizontal and upward inclined pipes, Int. J. Multiphase Flow 33(2007) 347-370.
[28] J. Mandhane, G. Gregory, K. Aziz, A flow pattern map for gas-liquid flow in horizontal pipes, Int. J. Multiphase Flow 1(1974) 537-553.
[29] A. Al-sarkhi, C. Sarica, Power-law correlation for two-phase pressure drop of gas/liquid flows in horizontal pipelines, Soc. Petrol. Eng. 5(2010) 176-182.

Modeling the pressure drop of wet gas in horizontal pipe

Modeling the pressure drop of wet gas in horizontal pipe

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