Validation of CFD model of multiphase flow through pipeline and annular geometries

References

• Alder, B. J., and T. E. Wainwright. 1960. Studies in molecular dynamics. II. Behavior of a small number of elastic spheres. The Journal of Chemical Physics 33 (5):1439–51. doi:10.1063/1.1731425.
   Web of Science ®Google Scholar
• Anderson, T. B., and R. Jackson. 1967. Fluid mechanical description of fluidized beds. Equations of motion. Industrial & Engineering Chemistry Fundamentals 6 (4):527–39.
   Web of Science ®Google Scholar
• Aude, T. C., T. L. Thompson, and E. J. Wasp. 1974. Economics of slurry pipeline systems, vol. 15. Cross (Richard B) Company. Transportation in Focus, Proceedings of the Fifteenth Annual Meeting of the Transportation Research Forum, San Francisco, California, 10–12 October 1974. https://trid.trb.org/view/27069.
   Google Scholar
• Aude, T. C., T. L. Thompson, and E. J. Wasp. 1975. Slurry-pipeline systems for coal; other solids come of age. Oil Gas Journal (United States) 73:29.
   Google Scholar
• Baltussen, M. W., L. J. H. Seelen, J. A. M. Kuipers, and N. G. Deen. 2013. Direct numerical simulations of gas–liquid–solid three phase flows. Chemical Engineering Science 100:293–99. doi:10.1016/j.ces.2013.02.052.
   Web of Science ®Google Scholar
• Bello, O. O., K. M. Reinicke, and C. Teodoriu. 2005. Particle holdup profiles in horizontal gas‐liquid‐solid multiphase flow pipeline. Chemical Engineering & Technology 28 (12):1546–53. doi:10.1002/ceat.200500195.
   Web of Science ®Google Scholar
• Bowen, R. M. 1976. Theory of Mixtures in Continuum Physics, ed. A. C. Eringen, vol. III. New York: Academy Press.
   Google Scholar
• Camçi, G. 2003. Application of isokinetic sampling technique for local solid densities in upward liquid-solid flows through an annulus. PhD diss., METU.
   Google Scholar
• Camçi, G., and T. A. Özbelge. 2006. Determination of dilute slurry densities in a vertical annulus using isokinetic sampling. Chemical Engineering Communications 193 (11):1482–501.
   Web of Science ®Google Scholar
• Chapman, S., and T. G. Cowling. 1970. The mathematical theory of non-uniform gases: An account of the kinetic theory of viscosity, thermal conduction and diffusion in gases. New York: Cambridge University Press.
   Google Scholar
• Chen, L., Y. Duan, W. Pu, and C. Zhao. 2009. CFD simulation of coal-water slurry flowing in horizontal pipelines. Korean Journal of Chemical Engineering 26 (4):1144–54. doi:10.1007/s11814-009-0190-y.
   Web of Science ®Google Scholar
• Cornelissen, J. T., F. Taghipour, R. Escudié, N. Ellis, and J. R. Grace. 2007. CFD modelling of a liquid–solid fluidized bed. Chemical Engineering Science 62 (22):6334–48. doi:10.1016/j.ces.2007.07.014.
   Web of Science ®Google Scholar
• Dewangan, S. K., and S. L. Sinha. 2016. Exploring the hole cleaning parameters of horizontal wellbore using two-phase Eulerian CFD approach. The Journal of Computational Multiphase Flows 8 (1):15–39. doi:10.1177/1757482x16634218.
   Google Scholar
• Durand, R. 1951. Transport hydraulique de graviers et galets en conduite. La Houille Blanche 1951:609–19.
   Google Scholar
• Durand, R. and E. Condolios. 1952. The hydraulic transportation of coal and solid material in pipes. In Processing of colloquium on transport of coal, vol. 5. National Coal Board, November 5, London, UK.
   Google Scholar
• Eraslan, A. N., and T. A. Özbelge. 2003. Assessment of flow and heat transfer characteristics for proposed solid density distributions in dilute laminar slurry upflows through a concentric annulus. Chemical Engineering Science 58 (17):4055–69. doi:10.1016/s0009-2509(03)00284-7.
   Web of Science ®Google Scholar
• Escudier, M. P. P. J., P. J. Oliveira, F. Pinho, and S. Smith. 2002. Fully developed laminar flow of non-Newtonian liquids through annuli: comparison of numerical calculations with experiments. Experiments in Fluids 33 (1):101–11. doi:10.1007/s00348-002-0429-4.
   Web of Science ®Google Scholar
• Fluent, A. N. S. Y. S. 2009. 12.0/12.1 Documentation. Users Guide Manual, Ansys Inc.
   Google Scholar
• Fu, S., B. E. Launder, and M. A. Leschziner. 1987. Modelling strongly swirling recirculating jet flow with Reynolds-stress transport closures. In 6th Symposium on turbulent shear flows, France, Toulouse, 17–6.
   Google Scholar
• Fukuda, T., and Y. Shoji. 1986. Pressure drop and heat transfer for tree phase flow: 1st Report, flow in horizontal pipes. Bulletin of JSME 29 (256):3421–426. doi:10.1299/jsme1958.29.3421.
   Google Scholar
• Gibson, M. M., and B. E. Launder. 1978. Ground effects on pressure fluctuations in the atmospheric boundary layer. Journal of Fluid Mechanics 86 (3):491–11. doi:10.1017/s0022112078001251.
   Web of Science ®Google Scholar
• Gillies, R. G., and C. A. Shook. 1994. Concentration distributions of sand slurries in horizontal pipe flow. Particulate Science and Technology 12 (1):45–69. doi:10.1080/02726359408906641.
   Web of Science ®Google Scholar
• Gillies, R. G., M. J. McKibben, and C. A. Shook. 1997. Pipeline flow of gas, liquid and sand mixtures at low velocities. Journal of Canadian Petroleum Technology 36:09.
   Google Scholar
• Gopaliya, M. K., and D. R. Kaushal. 2015. Analysis of effect of grain size on various parameters of slurry flow through pipeline using CFD. Particulate Science and Technology 33 (4):369–84. doi:10.1080/02726351.2014.971988.
   Web of Science ®Google Scholar
• Govier, G. W., and K. Aziz. 1972. The flow of complex mixtures in pipes, vol. 469. New York: Van Nostrand Reinhold.
   Google Scholar
• Haaland, S. E. 1983. Simple and explicit formulas for the friction factor in turbulent pipe flow. Journal of Fluids Engineering 105 (1):89–90. doi:10.1115/1.3240948.
   Web of Science ®Google Scholar
• Hatate, Y., H. Nomura, T. Fujita, S. Tajiri, and A. Ikari. 1986. Gas holdup and pressure drop in three-phase horizontal flows of gas-liquid-fine solid particles system. Journal of Chemical Engineering of Japan 19 (4):330–35. doi:10.1252/jcej.19.330.
   Web of Science ®Google Scholar
• Hernández, F. H., A. J. Blanco, and L. Rojas-Solórzano. 2008. CFD modeling of slurry flows in horizontal pipes. In ASME 2008 fluids engineering division summer meeting collocated with the heat transfer, energy sustainability, and 3rd energy nanotechnology conferences, American Society of Mechanical Engineers, Jacksonville, Florida, USA, 857–63.
   Google Scholar
• Kago, T., T. Saruwatari, M. Kashima, S. Morooka, and Y. Kato. 1986. Heat transfer in horizontal plug and slug flow for gas-liquid and gas-slurry systems. Journal of Chemical Engineering of Japan 19 (2):125–31. doi:10.1252/jcej.19.125.
   Web of Science ®Google Scholar
• Kaushal, D. R., A. Kumar, Y. Tomita, S. Kuchii, and H. Tsukamoto. 2013. Flow of mono-dispersed particles through horizontal bend. International Journal of Multiphase Flow 52:71–91. doi:10.1016/j.ijmultiphaseflow.2012.12.009.
   Web of Science ®Google Scholar
• Kaushal, D. R., A. Kumar, Y. Tomita, S. Kuchii, and H. Tsukamoto. 2017. Flow of bi-modal slurry through horizontal bend. KONA Powder and Particle Journal 34:258–74. doi:10.14356/kona.2017016.
   Web of Science ®Google Scholar
• Kaushal, D. R., and Y. Tomita. 2013. Prediction of concentration distribution in pipeline flow of highly concentrated slurry. Particulate Science and Technology 31 (1):28–34. doi:10.1080/02726351.2011.639045.
   Web of Science ®Google Scholar
• Kaushal, D. R., K. Sato, T. Toyota, K. Funatsu, and Y. Tomita. 2005. Effect of particle size distribution on pressure drop and concentration profile in pipeline flow of highly concentrated slurry. International Journal of Multiphase Flow 31 (7):809–23. doi:10.1016/j.ijmultiphaseflow.2005.03.003.
   Web of Science ®Google Scholar
• Kaushal, D. R., T. Thinglas, Y. Tomita, S. Kuchii, and H. Tsukamoto. 2012. CFD modeling for pipeline flow of fine particles at high concentration. International Journal of Multiphase Flow 43:85–100. doi:10.1016/j.ijmultiphaseflow.2012.03.005.
   Web of Science ®Google Scholar
• Kelessidis, V. C., G. E. Bandelis, and J. Li. 2007. Flow of dilute solid-liquid mixtures in horizontal concentric and eccentric annuli. Journal of Canadian Petroleum Technology 46 (5):56–61.
   Google Scholar
• Kelessidis, V. C., P. Dalamarinis, and R. Maglione. 2011. Experimental study and predictions of pressure losses of fluids modeled as Herschel–Bulkley in concentric and eccentric annuli in laminar, transitional and turbulent flows. Journal of Petroleum Science and Engineering 77 (3):305–12. doi:10.1016/j.petrol.2011.04.004.
   Web of Science ®Google Scholar
• Kocamustafaogullari, G., and Z. Wang. 1991. An experimental study on local interfacial parameters in a horizontal bubbly two-phase flow. International Journal of Multiphase Flow 17 (5):553–72. doi:10.1016/0301-9322(91)90024-w.
   Web of Science ®Google Scholar
• Krieger, I. M. 1972. Rheology of monodisperse latices. Advances in Colloid and Interface Science 3 (2):111–36. doi:10.1016/0001-8686(72)80001-0.
   Google Scholar
• Kumar Gopaliya, M., and D. R. Kaushal. 2016. Modeling of sand-water slurry flow through horizontal pipe using CFD. Journal of Hydrology and Hydromechanics 64 (3):261–72. doi:10.1515/johh-2016-0027.
   Web of Science ®Google Scholar
• Kumar, N., M. K. Gopaliya, and D. R. Kaushal. 2016. Modeling for slurry pipeline flow having coarse particles. Multiphase Science and Technology 28 (1):1–33.
   Google Scholar
• Lahiri, S. K., and K. C. Ghanta. 2007. Computational technique to predict the velocity and concentration profile for solid-liquid slurry flow in pipelines. In 17th International conference on hydrotransport, Capetown, South Africa, 149–75.
   Google Scholar
• Launder, B. E., G. Jr Reece, and W. Rodi. 1975. Progress in the development of a Reynolds-stress turbulence closure. Journal of Fluid Mechanics 68 (3):537–66. doi:10.1017/s0022112075001814.
   Web of Science ®Google Scholar
• Li, L., H.-L. Xu, and F.-Q. Yang. 2015. Three-phase flow of submarine gas hydrate pipe transport. Journal of Central South University 22 (9):3650–656. doi:10.1007/s11771-015-2906-y.
   Web of Science ®Google Scholar
• Lien, F.-S., and M. A. Leschziner. 1994. Assessment of turbulence-transport models including non-linear RNG eddy-viscosity formulation and second-moment closure for flow over a backward-facing step. Computers & Fluids 23 (8):983–1004.
   Web of Science ®Google Scholar
• Lin, C. X., and M. A. Ebadian. 2008. A numerical study of developing slurry flow in the entrance region of a horizontal pipe. Computers & Fluids 37 (8):965–74. doi:10.1016/j.compfluid.2007.10.008.
   Web of Science ®Google Scholar
• Ling, J., P. V. Skudarnov, C. X. Lin, and M. A. Ebadian. 2003. Numerical investigations of liquid–solid slurry flows in a fully developed turbulent flow region. International Journal of Heat and Fluid Flow 24 (3):389–98. doi:10.1016/s0142-727x(03)00018-3.
   Web of Science ®Google Scholar
• Liu, X., Y. Aramaki, L. Guo, and K. Morita. 2015. Numerical simulation of gas–liquid–solid three-phase flow using particle methods. Journal of Nuclear Science and Technology 52 (12):1480–89. doi:10.1080/00223131.2015.1012132.
   Web of Science ®Google Scholar
• Markatos, N. C. 1986. The mathematical modelling of turbulent flows. Applied Mathematical Modelling 10 (3):190–20. doi:10.1016/0307-904x(86)90045-4.
   Web of Science ®Google Scholar
• Newitt, D. D. 1955. Hydraulic conveying of solids in horizontal pipes. Transactions of the Institution of Chemical Engineers 33:93–103. doi:10.1038/175800b0.
   Google Scholar
• Nourmohammadi, K., P. K. Hopke, and J. J. Stukel. 1985. Turbulent air flow over rough surfaces. II. Turbulent flow parameters. ASME, Transactions, Journal of Fluids Engineering 107:55–60. doi:10.1115/1.3242440.
   Google Scholar
• O’Brien, M. P. 1933. Review of the theory of turbulent flow and its relation to sediment‐transportation. Eos, Transactions American Geophysical Union 14 (1):487–91.
   Google Scholar
• Orell, A. 2007. The effect of gas injection on the hydraulic transport of slurries in horizontal pipes. Chemical Engineering Science 62 (23):6659–76. doi:10.1016/j.ces.2007.07.067.
   Web of Science ®Google Scholar
• Özbelge, T. A., and A. Beyaz. 2001. Dilute solid–liquid upward flows through a vertical annulus in a closed loop system. International Journal of Multiphase Flow 27 (4):737–52. doi:10.1016/s0301-9322(00)00047-1.
   Web of Science ®Google Scholar
• Özbelge, T. A., and A. N. Eraslan. 2006. A computational hydrodynamic and heat transfer study in turbulent up-flows of dilute slurries through a concentric annulus. Turkish Journal of Engineering and Environmental Sciences 30 (1):1–13.
   Google Scholar
• Özbelge, T. A., and G. C. Ünal. 2008. A new correlation for two-phase pressure drops in fully developed dilute slurry up-flows through an annulus. Chemical Engineering Communications 196 (4):491–98. doi:10.1080/00986440802483822.
   Web of Science ®Google Scholar
• Özbelge, T. A., and S. H. Köker. 1996. Heat transfer enhancement in water—feldspar upflows through vertical annuli. International Journal of Heat and Mass Transfer 39 (1):135–47. doi:10.1016/s0017-9310(96)85012-5.
   Web of Science ®Google Scholar
• Pouranfard, A. R., D. Mowla, and F. Esmaeilzadeh. 2015. An experimental study of drag reduction by nanofluids in slug two-phase flow of air and water through horizontal pipes. Chinese Journal of Chemical Engineering 23 (3):471–75. doi:10.1016/j.cjche.2014.11.023.
   Web of Science ®Google Scholar
• Rahman, M. A., K. Freeman Adane, and R. Sean Sanders. 2013. An improved method for applying the Lockhart–Martinelli correlation to three‐phase gas–liquid–solid horizontal pipeline flows. The Canadian Journal of Chemical Engineering 91 (8):1372–82. doi:10.1002/cjce.21843.
   Web of Science ®Google Scholar
• Roco, M. C., and C. A. Shook. 1983. Modeling of slurry flow: The effect of particle size. The Canadian Journal of Chemical Engineering 61 (4):494–503. doi:10.1002/cjce.5450610402.
   Web of Science ®Google Scholar
• Rouse, H. 1937. Modern conceptions of the mechanics of turbulence. Transactions ASCE 102:463–43.
   Google Scholar
• Rushd, S., R. A. Kelessidis, C. Vassilios, and M. A. Rahman. 2017. Investigation of pressure losses in eccentric inclined annuli. In 36th International conference on ocean, offshore & arctic engineering, American Society of Mechanical Engineering, Trondheim, Norway.
   Google Scholar
• Sanders, R. S., J. Schaan, and M. M. McKibben. 2007. Oil sand slurry conditioning tests in a 100 mm pipeline loop. The Canadian Journal of Chemical Engineering 85 (5):756–64. doi:10.1002/cjce.5450850521.
   Web of Science ®Google Scholar
• Scott, D. S., and P. K. Rao. 1971. Transport of solids by gas‐liquid mixtures in horizontal pipes. The Canadian Journal of Chemical Engineering 49 (3):302–09. doi:10.1002/cjce.5450490302.
   Web of Science ®Google Scholar
• Seshadri, V. 1982a. Basic process design for a slurry pipeline. Proc. the short term course on design of pipelines for transporting liquid and solid materials, IIT, Delhi.
   Google Scholar
• Seshadri, V. 1982b. Concentration and size distribution of solids in a slurry pipeline. In Proc. 11th nat. conference on fluid mechanics and fluid power, BHEL, Hyderabad.
   Google Scholar
• Skudarnov, P. V., C. X. Lin, and M. A. Ebadian. 2004. Double-species slurry flow in a horizontal pipeline. Journal of Fluids Engineering 126 (1):125–32. doi:10.1115/1.1637925.
   Web of Science ®Google Scholar
• Skudarnov, P. V., H. J. Kang, C. X. Lin, M. A. Ebadian, P. W. Gibbons, F. F. Erian, and M. Rinker. 2001. Experimental investigation of single-and double-species slurry transportation in a horizontal pipeline. In Proc. ANS 9th international topical meeting on robotics and remote systems, Seattle, WA.
   Google Scholar
• Syamlal, M., W. Rogers, and T. J. O’Brien. 1993. MFIX documentation: Theory guide. National Energy Technology Laboratory, Department of Energy, Technical Note DOE/METC-95/1013 and NTIS/DE95000031.
   Google Scholar
• Thomas, D. G. 1965. Transport characteristics of suspension: VIII. A note on the viscosity of Newtonian suspensions of uniform spherical particles. Journal of Colloid Science 20 (3):267–77. doi:10.1016/0095-8522(65)90016-4.
   Google Scholar
• Toda, M., K. Shimazaki, and S. Maeda. 1978. Pressure drop of three-phase flow in horizontal pipes. Kagaku Kogaku Ronbunshu 4:56–62.
   Google Scholar
• Van Sint Annaland, M., N. G. Deen, and J. A. M. Kuipers. 2005. Numerical simulation of gas–liquid–solid flows using a combined front tracking and discrete particle method. Chemical Engineering Science 60 (22):6188–198.
   Web of Science ®Google Scholar
• Vasquez, S. 2000. A phase coupled method for solving multiphase problems on unstructured mesh. In ASME fluids engineering division summer meeting, Boston, Massachusetts, USA.
   Google Scholar
• Vijiapurapu, S., and J. Cui. 2010. Performance of turbulence models for flows through rough pipes. Applied Mathematical Modelling 34 (6):1458–66. doi:10.1016/j.apm.2009.08.029.
   Web of Science ®Google Scholar
• Vocadlo, J. J., and M. E. Charles. 1972. Transportation of slurries. Canadian Mining and Metallurgical Bulletin 65:726.
   Google Scholar
• Wakeman, T., and W. Tabakoff. 1982. Measured particle rebound characteristics useful for erosion prediction. In ASME 1982 international gas turbine conference and exhibit, American Society of Mechanical Engineers, London, England, V003T05A005–V003T05A005.
   Google Scholar
• Washino, K., H. S. Tan, A. D. Salman, and M. J. Hounslow. 2011. Direct numerical simulation of solid–liquid–gas three-phase flow: Fluid–solid interaction. Powder Technology 206 (1):161–69. doi:10.1016/j.powtec.2010.07.015.
   Web of Science ®Google Scholar
• Wasp, E. J., J. P. Kenny, and R. L. Gandhi. 1977. Solid–liquid flow: Slurry pipeline transportation (Pumps, valves, mechanical equipment, economics). Ser. Bulk Mater. Handl.; (United States) 1:4.
   Google Scholar
• Wood, D. J. (1966). An explicit friction factor relationship. Civil Engineering 36 (12):60–61.
   Google Scholar
• Zagarola, M. V., and A. J. Smits. 1997. Scaling of the mean velocity profile for turbulent pipe flow. Physical Review Letters 78 (2):239. doi:10.1103/physrevlett.78.239.
   Web of Science ®Google Scholar