Simulation of Crude Oil Transportation with Drag Reduction Agents Using k-ϵ and k-ω Models
Keywords:Crude oil, simulation, turbulence models, drag reduction, newtonian fluid
This work explores the possibility of using Newtonian turbulence k−ϵ and k−ω models for modelling crude oil flow in pipelines with drag reduction agents. These models have been applied to predict the friction factor, pressure drop and the drag reduction percentage. The simulation results of both models were compared with six published experimental data for crude oil flow in pipes with different types of drag reduction agents. The velocity near the wall was determined using the log law line of Newtonian fluid equation and by changing the parameter ΔB to achieve an excellent agreement with experimental data. Simulated data for k−ϵ model shows better agreement with most experimental data than the k−ω turbulence model.
Brostow, W. Drag Reduction in Flow: Review of applications, Mechanism, and Prediction Journal of Industrial and Engineering Chemistry, Volume 14, 2008, pp. 409–416.
M. H. Hasaean. Studying the Rheological Properties and the Influence of Drag Reduction on a Waxy Crude Oil in Pipeline Flow. Egyptian Journal of Petroleum, 2015, P. 6.
Vejahati, F., A Conceptual Framework for Predicting the Effectiveness of Drag Reducing Agent in Liquid Pipelines. Baltimore, Maryland, Pipeline Simulation Interest Group (PSIG), 2014.
Anees A. Khadom, Ali A. Abdul-Hadi. Performance of Polyacrylamide as Drag Reduction Polymer of crude Petroleum Flow. Ain Shams Engineering Journal, 2014, P. 5.
Al-Amri, N., Al-Khaldi, R., Al-Qahtani, H., Al-Amoudi, M., Multiphase drag reducing agents to increase GOSP production in offshore Saudi Aramco: field applications, Proceeding of The International Petroleum Technology Conference, Doha, 20-22 January, 2014, P. 1–6.
Al-Wahaibi, T., Abubakar, A., Al-Hashmi, A.R., Al-Wahaibi, Y., Al-Ajmi, A., Energy analysis of oil-water flow with drag-reducing polymer in different pipe inclinations and diameters. J. Pet. Sci. Eng. 2017, 149, 315–321.
Eshrati, M., Al-Hashmi, A.R., Al-Wahaibi, T., Al-Wahaibi, Y., Al-Ajmi, A., Abubakar, A.Drag reduction using high molecular weight polyacrylamides during multiphase flow of oil and water: a parametric study. J. Pet. Sci. Eng. 2015, 135, P. 403–409.
Faris, N.A. Samia, A. A. Abdulrazaka, J. S. Sangwaib. The Performance of Toluene and Naphtha as Viscosity and Drag Reducing Solvents for the Pipeline Transportation of heavy Crude Oil, Petroleum Science and Technology Journal, 33:952–960, 2015.
Leighton, R., Walker, D. and Stephens, T. Reynolds Stress Modeling for Drag Reducing Viscoelastic Flows. ASME/JSME 4th Joint Fluids Summer Engineering Conference. American, 2003, 735–744.
Rabie HL, Fouda SM, Awad MM. Turbulence modeling of drag reducing fluid flow using Modified k−ω
model. Fluid Mech Res Int J. 2018; 2(5):219–228.
Pinho, F. T., Li, C. F., Younis, B. A., and Sureshkumar, R. “A Low Reynolds Number Turbulence Closure for Viscoelastic Fluids,” J Non-Newton Fluid., 154(2), 2015, pp. 89–108.
Resende, P. R., Kim, K., Younis, B. A., Sureshkumar, R., and Pinho, F. T., “A FENE-P k−ε
Turbulence Model for Low and Intermediate Regimes of Polymer-Induced Drag Reduction,” J Non-Newton Fluid., 166(12), 2011, pp. 639–660.
Zheng, Z. Y., Li, F. C. and Li, Reynolds-Averaged Simulation on Turbulent Drag-Reducing Flows of Viscoelastic Fluid Based on User-Defined Function in FLUENT Package. 2014, 14th Joint Fluids Summer Engineering Conference. American.
Farhan Lafta Rashid1, Haider Nadhom, Shaheed Mahdi Talib. Experimental Investigation of Drag Reduction by a Polymeric Additive in Crude Oil Flow in Horizontal Pipe. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 60, Issue 1 (2019) 15–23.
Al-Kayiem, H., Khan, J. CFD simulation of drag reduction in pipe flow by turbulence Energy promoters. ARPN Journal of Engineering and Applied Sciences, 11, 2016, 14219–14224.
H.R. Karami, D. Mowla. Investigation of the effects of various parameters on pressure drop reduction in crude oil pipelines by drag reducing agents. Journal of Non-Newtonian Fluid Mechanics 177–178 (2012) 37–45.
Karami, H., Mowla, D. A general model for predicting drag reduction in crude oil pipelines, Journal of Petroleum Science and Engineering, 2013, 11, 78–86.
Ali A. Abdul-Hadi and Anees A. Khadom. Studying the Effect of Some Surfactants on Drag Reduction of Crude Oil Flow, Hindawi Publishing Corporation,Chinese Journal of Engineering, Volume 2013, Article ID 321908, 6 pages.
Cindy Dianita, Asep Handaya Saputra, Puteri Amelia Khairunnisa. Simulation of Drag Reducing Polymers for Single and Two Phase Flow in Horizontal Pipe. Journal Rekayasa Kimia dan Lingkungan, 2018, Vol. 13, No. 2, pp. 154–164.
Strelnikova, S., Michkova, D. Mathematical modeling of fluid motion in pipelines using drag reducing agents, Proceeding of PSIG Annual Meeting, Prague, 2013, 16–19 April, 1–12.
Zhang, X., Duan, X., Muzychka, Y. (2018). Analytical Upper Limit of Drag Reduction with Polymer Additives in Turbulent Pipe Flow. Journal of Fluids Engineering, 140(5).
Wilcox, D. C., 1998. Turbulence Modeling for CFD, 2nd edition. DCW Industries, Inc., La Canada, California.
Wilcox, D. C., 2006. Turbulence Modeling for CFD, 3nd edition. DCW Industries, Inc., La Canada, California.
Virk PS. Drag reduction fundamentals. AICHE J 1975; 21:625–656.
Schlichting, H., Gersten, K., (2000). Boundary-Layer Theory. Springer-Verlag, Berlin, Heidelberg, New York.
Benzi, R., Ching, E. S. C., Horesh, N. & Procaccia, I. 2004a Theory of concentration dependence in drag reduction by polymers and the maximum drag reduction asymptote. Phys. Rev. Lett. 92(7), 078302.
Yang, S. Q. & Dou, G. 2005 Drag reduction in flat-plate turbulent boundary layer flow by polymer additive. Phys. Fluids 17 (6), 065104
Yang, S. Q. & Dou, G. 2008 Modelling of viscoelastic turbulent flow in open channel and pipe Phys.Fluids 20 (6), 06510.
Yang, Shu-Qing & Dou, Guo-Ren. (2008). Modeling of viscoelastic turbulent flow in channel and pipe. Physics of Fluids - PHYS FLUIDS. 20. 10.1063/1.2920275.
Xin Zhang, Xili Duan, Yuri Muzychka, Zongming Wang. Experimental correlation for pipe flow drag reduction using relaxation time of linear flexible polymers in a dilute solution. The Canadian Journal of Chemical Engineering. Volume 98, Issue 3, March 2020, P. 792–803.
COMSOL Multiphysics. Chemical Engineering Module, User’s Guide. COMSOL AB, 2012.
Sellin et al. (2008). The effect of drag-reducing additives on fluid flows and their industrial applications part 1: basic aspects. Journal of Hydraulic Research 20, No 1.
H. Nourozieh, M. Kariznovi, J. Abedi, Viscosity measurement and modeling for mixtures of Athabasca bitumen/hexane. Journal of Petroleum Science and Engineering. 129 (2015) 159–167.
Lederer, E.L. (1933) Proc. World Pet. Cong. (Lond.) 2, 526–528.
Shu, W.R. (1984) A Viscosity Correlation for Mixtures of Heavy Oil, Bitumen and Petroleum Fractions. SPE 11280.
Saeed Mohammadi, Mohammad Amin Sobati, and Mohammad Taghi Sadeghi. Viscosity Reduction of Heavy Crude Oil by Dilution Methods: New Correlations for the Prediction of the Kinematic Viscosity of Blends. Iranian Journal of Oil & Gas Science and Technology, Vol. 8 (2019), No. 1, pp. 60–77.
Gyr, A., and Tsinober, A. (1997). On the rheological nature of drag reduction phenomena. J. Non-Newtonian Fluid Mechanics 73:153–162.
Metzner, A.B., Reed, J.C., 1955. Flow of non-Newtonian fluids-correlation of the laminar, transition and turbulent-flow regions. AIChEJ. 1, 434–440.
Kané, M., Djabourov, M. and Volle, J. L., (2004), Rheology and structure of paraffinic crude oils in quiescent and under shearing conditions. Fuel, 83(11,12): 1591–1605.
Munson, B. R., Young, D. F., & Okiishi, T. H., Fundamentals of Fluid Mechanics, 4th Ed., New York: John Wiley and Sons, Inc, 2002