Prediction of curved oil-water interface in horizontal pipes using modified model with dynamic contact angle

doi:10.1016/j.cjche.2019.08.008

中国化学工程学报 ›› 2020, Vol. 28 ›› Issue (3): 698-711.DOI: 10.1016/j.cjche.2019.08.008

• Fluid Dynamics and Transport Phenomena • 上一篇下一篇

Prediction of curved oil-water interface in horizontal pipes using modified model with dynamic contact angle

Hongxin Zhang, Lusheng Zhai, Ruoyu Liu, Cong Yan, Ningde Jin

School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China

收稿日期:2018-11-10 修回日期:2019-07-23 出版日期:2020-03-28 发布日期:2020-06-11
通讯作者: Lusheng Zhai
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 41974139, 41504104, 11572220, 51527805) and Natural Science Foundation of Tianjin, China (19JCYBJC18400).

Prediction of curved oil-water interface in horizontal pipes using modified model with dynamic contact angle

Hongxin Zhang, Lusheng Zhai, Ruoyu Liu, Cong Yan, Ningde Jin

School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China

Received:2018-11-10 Revised:2019-07-23 Online:2020-03-28 Published:2020-06-11
Contact: Lusheng Zhai
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 41974139, 41504104, 11572220, 51527805) and Natural Science Foundation of Tianjin, China (19JCYBJC18400).

摘要/Abstract

摘要： In this study, interface shapes of horizontal oil-water two-phase flow are predicted by using Young-Laplace equation model and minimum energy model. Meanwhile, the interface shapes of horizontal oil-water twophase flow in a 20 mm inner diameter pipe are measured by a novel conductance parallel-wire array probe (CPAP). It is found that, for flow conditions with low water holdup, there is a large deviation between the model-predicted interface shape and the experimentally measured one. Since the variation of pipe wetting characteristics in the process of fluid flow can lead to the changes of the contact angle between the fluid and the pipe wall, the models mentioned above are modified by considering dynamic contact angle. The results indicate that the interface shapes predicted by the modified models present a good consistence with the ones measured by CPAP.

关键词: Oil-water two-phase flow, Curved interface, Conductance parallel-wire array probes, Dynamic contact angle

Abstract: In this study, interface shapes of horizontal oil-water two-phase flow are predicted by using Young-Laplace equation model and minimum energy model. Meanwhile, the interface shapes of horizontal oil-water twophase flow in a 20 mm inner diameter pipe are measured by a novel conductance parallel-wire array probe (CPAP). It is found that, for flow conditions with low water holdup, there is a large deviation between the model-predicted interface shape and the experimentally measured one. Since the variation of pipe wetting characteristics in the process of fluid flow can lead to the changes of the contact angle between the fluid and the pipe wall, the models mentioned above are modified by considering dynamic contact angle. The results indicate that the interface shapes predicted by the modified models present a good consistence with the ones measured by CPAP.

Key words: Oil-water two-phase flow, Curved interface, Conductance parallel-wire array probes, Dynamic contact angle

Hongxin Zhang, Lusheng Zhai, Ruoyu Liu, Cong Yan, Ningde Jin. Prediction of curved oil-water interface in horizontal pipes using modified model with dynamic contact angle[J]. 中国化学工程学报, 2020, 28(3): 698-711.

参考文献

[1] Y. Taitel, A.E. Dukler, A model for predicting flow regime transitions in horizontal and near horizontal gas-liquid flow, AIChE J. 22(1976) 47-55.
[2] A. Sharma, A. Al-Sarkhi, C. Sarica, H.-Q. Zhang, Modeling of oil-water flow using energy minimization concept, Int. J. Multiphase Flow 37(2011) 326-335.
[3] T. Al-Wahaibi, Y. Al-Wahaibi, A. Al-Ajmi, R. Al-Hajri, N. Yusuf, A.S. Olawale, I.A. Mohammed, Experimental investigation on flow patterns and pressure gradient through two pipe diameters in horizontal oil-water flows, J. Pet. Sci. Eng. 122(2014) 266-273.
[4] T.S. Ng, C.J. Lawrence, G.F. Hewitt, Laminar stratified pipe flow, Int. J. Multiphase Flow 28(2002) 963-996.
[5] N. Brauner, D. Moalem Maron, J. Rovinsky, A two-fluid model for stratified flows with curved interfaces, Int. J. Multiphase Flow 24(1998) 975-1004.
[6] A. Ullmann, N. Brauner, Closure relations for two-fluid models for two-phase stratified smooth and stratified wavy flows, Int. J. Multiphase Flow 32(2006) 82-105.
[7] L.C. Edomwonyi-Otu, P. Angeli, Pressure drop and holdup predictions in horizontal oil-water flows for curved and wavy interfaces, Chem. Eng. Res. Des. 93(2015) 55-65.
[8] O.M.H. Rodriguez, M.S. Castro, Interfacial-tension-force model for the wavystratified liquid-liquid flow pattern transition, Int. J. Multiphase Flow 58(2014) 114-126.
[9] N. Brauner, J. Rovinsky, D. Moalem Maron, Determination of the interface curvature in stratified two-phase systems by energy considerations, Int. J. Multiphase Flow 22(1996) 1167-1185.
[10] D. Gorelik, N. Brauner, The interface configuration in two-phase stratified pipe flows, Int. J. Multiphase Flow 25(1999) 977-1007.
[11] T.S. Ng, C.J. Lawrence, G.F. Hewitt, Interface shapes for two-phase laminar stratified flow in a circular pipe, Int. J. Multiphase Flow 27(2001) 1301-1311.
[12] O.M.H. Rodriguez, L.S. Baldani, Prediction of pressure gradient and holdup in wavy stratified liquid-liquid inclined pipe flow, J. Pet. Sci. Eng. 96-97(2012) 140-151.
[13] M.J. Da Silva, E.N. dos Santos, U. Hampel, I.H. Rodriguez, O.M.H. Rodriguez, Phase fraction distribution measurement of oil-water flow using a capacitance wiremesh sensor, Meas. Sci. Technol. 22(2011), 104020.
[14] I.H. Rodriguez, H.F. Velasco Peña, A. Bonilla Riaño, R.A.W.M. Henkes, O.M.H. Rodriguez, Experiments with a wire-mesh sensor for stratified and dispersed oilbrine pipe flow, Int. J. Multiphase Flow 70(2015) 113-125.
[15] L.-S. Zhai, N.-D. Jin, Y.-B. Zong, Q.-Y. Hao, Z.-K. Gao, Experimental flow pattern map, slippage and time-frequency representation of oil-water two-phase flow in horizontal small diameter pipes, Int. J. Multiphase Flow 76(2015) 168-186.
[16] L. Zhai, H. Zhang, C. Yan, N. Jin, Measurement of oil-water interface characteristics in horizontal pipe using a conductance parallel-wire array probe, IEEE Trans. Instrum. Meas. 68(2019) 3232-3243.
[17] T. Al-Wahaibi, P. Angeli, Experimental study on interfacial waves in stratified horizontal oil-water flow, Int. J. Multiphase Flow 37(2011) 930-940.
[18] H. Zhang, L. Zhai, C. Yan, H. Wang, N. Jin, Capacitive phase shift detection for measuring water holdup in horizontal oil-water two-phase flow, Sensors 18(2018) 2234.
[19] L.-S. Zhai, R.-Y. Liu, H.-X. Zhang, N.-D. Jin, Instability of horizontal oil-water flows based on the signal-dependent complex admittance representations, Exp. Thermal Fluid Sci. 103(2019) 337-346.
[20] A. Piroozian, M. Hemmati, I. Ismail, M.A. Manan, M.M. Rashidi, R. Mohsin, An experimental study of flow patterns pertinent to waxy crude oil-water two-phase flows, Chem. Eng. Sci. 164(2017) 313-332.
[21] A. Ashish Saha, S.K. Mitra, Effect of dynamic contact angle in a volume of fluid (VOF) model for a microfluidic capillary flow, J. Colloid Interface Sci. 339(2009) 461-480.
[22] T.D. Blake, The physics of moving wetting lines, J. Colloid Interface Sci. 299(2006) 1-13.
[23] E. Rillaerts, P. Joos, The dynamic contact angle, Chem. Eng. Sci. 35(1980) 883-887.
[24] R.L. Hoffman, A study of the advancing interface. I. Interface shape in liquid-gas systems, J. Colloid Interface Sci. 50(1975) 228-241.
[25] T. Al-Wahaibi, P. Angeli, Transition between stratified and non-stratified horizontal oil-water flows. Part I:Stability analysis, Chem. Eng. Sci. 62(2007) 2915-2928.
[26] A.H. Barral, P. Angeli, Interfacial characteristics of stratified liquid-liquid flows using a conductance probe, Exp. Fluids 54(2013) 1604.
[27] M.S.d. Castro, O.M.H. Rodriguez, Interfacial waves in stratified viscous oil-water flow, Exp. Thermal Fluid Sci. 62(2015) 85-98.
[28] M. Bracke, E.D. Voeght, P. Joos, The kinetics of wetting the dynamic contact angle, Progr. Colloid Polym. Sci. 79(1989) 142-149.
[29] T.D. Blake, M. Bracke, Y.D. Shikhmurzaev, Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle, Phys. Fluids 11(1999) 1995-2007.
[30] Š. Šikalo, H.D. Wilhelm, I.V. Roisman, S. Jakirlić, C. Tropea, Dynamic contact angle of spreading droplets:experiments and simulations, Phys. Fluids 17(2005), 062103.
[31] L.H. Tanner, The spreading of silicone oil drops on horizontal surfaces, J. Phys. D. Appl. Phys. 12(1979) 1473-1484.
[32] S. Kalliadasis, H.C. Chang, Apparent dynamic contact angle of an advancing gas-liquid meniscus, Phys. Fluids 6(1994) 12-23.
[33] S. Chakraborty, Dynamics of capillary flow of blood into a microfluidic channel, Lab Chip 5(2005) 421-430.
[34] G. Sotgia, P. Tartarini, E. Stalio, Experimental analysis of flow regimes and pressure drop reduction in oil-water mixtures, Int. J. Multiphase Flow 34(2008) 1161-1174.

Prediction of curved oil-water interface in horizontal pipes using modified model with dynamic contact angle

Prediction of curved oil-water interface in horizontal pipes using modified model with dynamic contact angle

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

编辑推荐

Metrics

本文评价

[1]	Ali Piroozian, Muhammad A. Manan, Issham Ismail, Rahmat Mohsin, Ali Esfandyari Bayat, Mac Darlington Uche Onuoha, Mahmoud Hemmati. Mixture temperature prediction of waxy oil-water two-phase system flowing near wax appearance temperature[J]. Chinese Journal of Chemical Engineering, 2016, 24(6): 795-802.
[2]	Lusheng Zhai, Ningde Jin, Zhongke Gao, Zhenya Wang. Liquid holdup measurement with double helix capacitance sensor in horizontal oil-water two-phase flow pipes[J]. Chinese Journal of Chemical Engineering, 2015, 23(1): 268-275.
[3]	王晓东, 彭晓峰, 段远源, 王补宣. 液体在固体表面上的铺展动力学[J]. , 2007, 15(5): 730-737.
[4]	刘文红, 郭烈锦, 吴铁军, 张西民. 水平长直管内油水两相流流动特性实验研究[J]. , 2003, 11(5): 491-496.