References
- Antal, S.P., Lahey Jr, R.T., Flaherty, J.E., 1991. Analysis of phase distribution in fully developed laminar bubbly two-phase flow. International Journal of Multiphase Flow, 17, 5, 635–652.10.1016/0301-9322(91)90029-3
- Auton, T.R., 1987. The lift force on a spherical body in a rotational flow. Journal of Fluid Mechanics, 183, 199–218.10.1017/S002211208700260X
- Bagnold, R.A., 1954. Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 225, 1160, 49–63.10.1098/rspa.1954.0186
- Behzadi, A., Issa, R.I., Rusche, H., 2004. Modelling of dispersed bubble and droplet flow at high phase fractions. Chemical Engineering Science, 59, 4, 759–770.10.1016/j.ces.2003.11.018
- Boyer, F., Guazzelli, É., Pouliquen, O., 2011. Unifying suspension and granular rheology. Physical Review Letters, 107, 18, 188301.10.1103/PhysRevLett.107.188301
- Burns, A.D., Frank, T., Hamill, I., Shi, J.M., 2004. The Favre averaged drag model for turbulent dispersion in Eulerian multi-phase flows. In: Proc. 5th international conference on multiphase flow, ICMF (Vol. 4, pp. 1–17). ICMF.
- Capecelatro, J., Desjardins, O., 2013. Eulerian–Lagrangian modeling of turbulent liquid–solid slurries in horizontal pipes. International Journal of Multiphase Flow, 55, 64–79.10.1016/j.ijmultiphaseflow.2013.04.006
- Chen, L., Duan, Y., Pu, W., Zhao, C., 2009. CFD simulation of coal-water slurry flowing in horizontal pipelines. Korean Journal of Chemical Engineering, 26, 4, 1144–1154.10.1007/s11814-009-0190-y
- DallaValle, J.M., 1948. Micromeritics, the Technology of Fine Particles. 2nd Ed. Pitman Pub. Corp., New York.
- Di Felice, R., 1994. The voidage function for fluid-particle interaction systems. International Journal of Multiphase Flow, 20, 1, 153–159.10.1016/0301-9322(94)90011-6
- Durand, R., 1953. Basic relationships of the transportation of solids in pipes-experimental research. In: Proceedings of the 5th Congress of International Association of Hydraulic Research. Minneapolis.
- Ekambara, K., Sanders, R.S., Nandakumar, K., Masliyah, J.H., 2009. Hydrodynamic simulation of horizontal slurry pipeline flow using ANSYS-CFX. Industrial & Engineering Chemistry Research, 48, 17, 8159–8171.10.1021/ie801505z
- Gidaspow, D., 1994. Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions. Academic Press.
- Gillies, R.G., Shook, C.A., 1994. Concentration distributions of sand slurries in horizontal pipe flow. Particulate Science and Technology, 12, 1, 45–69.10.1080/02726359408906641
- Gillies, R.G., Shook, C.A., 2000. Modelling high concentration settling slurry flows. The Canadian Journal of Chemical Engineering, 78, 4, 709–716.10.1002/cjce.5450780413
- Gillies, R.G., Shook, C.A., Xu, J., 2004. Modelling heterogeneous slurry flows at high velocities. The Canadian Journal of Chemical Engineering, 82, 5, 1060–1065.10.1002/cjce.5450820523
- Goeree, J.C., Keetels, G.H., Munts, E.A., Bugdayci, H.H., van Rhee, C., 2016. Concentration and velocity profiles of sediment-water mixtures using the drift flux model. The Canadian Journal of Chemical Engineering, 94, 6, 1048–1058.10.1002/cjce.22491
- Gopaliya, M.K., Kaushal, D.R., 2015. Analysis of effect of grain size on various parameters of slurry flow through pipeline using CFD. Particulate Science and Technology, 33, 4, 369–384.10.1080/02726351.2014.971988
- Gopaliya, M.K., Kaushal, D.R., 2016. Modeling of sand-water slurry flow through horizontal pipe using CFD. Journal of Hydrology and Hydromechanics, 64, 3, 261–272.10.1515/johh-2016-0027
- Gosman, A.D., Lekakou, C., Politis, S., Issa, R.I., Looney, M.K., 1992. Multidimensional modeling of turbulent two- phase flows in stirred vessels. AIChE Journal, 38, 12, 1946–1956.10.1002/aic.690381210
- Greenshields, C.J., 2015. OpenFOAM user guide. OpenFOAM Foundation Ltd, Version 3(1), 47 p.
- Henkes, R.A.W.M., Van Der Vlugt, F.F., Hoogendoorn, C.J., 1991. Natural-convection flow in a square cavity calculated with low-Reynolds-number turbulence models. International Journal of Heat and Mass Transfer, 34, 2, 377–388.10.1016/0017-9310(91)90258-G
- Ismail, H.M., 1952. Turbulent transfer mechanism of suspended sediment in closed channels. Trans. ASCE, 117, 1.10.1061/TACEAT.0006695
- Jenkins, J.T., Savage, S.B., 1983. Theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. Journal of Fluid Mechanics, 130, 1, 187–202.10.1017/S0022112083001044
- Johnson, P.C., Jackson, R., 1987. Frictional–collisional constitutive relations for granular materials, with application to plane shearing. Journal of Fluid Mechanics, 176, 67–93.10.1017/S0022112087000570
- Kaushal, D.R., Tomita, Y., 2003. Comparative study of pressure drop in multisized particulate slurry flow through pipe and rectangular duct. International Journal of Multiphase Flow, 29, 9, 1473–1487.10.1016/S0301-9322(03)00125-3
- Kaushal, D.R., Tomita, Y., 2007. Experimental investigation for near-wall lift of coarser particles in slurry pipeline using γ -ray densitometer. Powder Technology, 172, 3, 177–187.10.1016/j.powtec.2006.11.020
- Kaushal, D.R., Thinglas, T., Tomita, Y., Kuchii, S., Tsukamoto, H., 2012. CFD modeling for pipeline flow of fine particles at high concentration. International Journal of Multi-phase Flow, 43, 85–100.10.1016/j.ijmultiphaseflow.2012.03.005
- Koch, D.L., 1990. Kinetic theory for a monodisperse gas–solid suspension. Physics of Fluids A: Fluid Dynamics, 2, 10, 1711–1723.10.1063/1.857698
- Kumar, N., Gopaliya, M.K., Kaushal, D.R., 2016. Modeling for slurry pipeline flow having coarse particles. Multiphase Science and Technology, 28, 1.10.1615/MultScienTechn.2016016085
- Kumar, N., Gopaliya, M.K., Kaushal, D.R., 2019. Experimental investigations and CFD modeling for flow of highly concentrated iron ore slurry through horizontal pipeline. Particulate Science and Technology, 37, 2, 232–250.10.1080/02726351.2017.1364313
- Launder, B.E., Spalding, D.B., 1974. The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering, 3, 2, 269–289.10.1016/0045-7825(74)90029-2
- Legendre, D., Magnaudet, J., 1997. A note on the lift force on a spherical bubble or drop in a low-Reynolds-number shear flow. Physics of Fluids, 9, 11, 3572–3574.10.1063/1.869466
- Legendre, D., Magnaudet, J., 1998. The lift force on a spherical bubble in a viscous linear shear flow. Journal of Fluid Mechanics, 368, 81–126.10.1017/S0022112098001621
- Louge, M.Y., Mastorakos, E., Jenkins, J.T., 1991. The role of particle collisions in pneumatic transport. Journal of Fluid Mechanics, 231, 8, 345.10.1017/S0022112091003427
- Lun, C.K.K., 1991. Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres. Journal of Fluid Mechanics, 233, 539–559.10.1017/S0022112091000599
- Matousek, V., 2002. Pressure drops and flow patterns in sand-mixture pipes. Experimental Thermal and Fluid Science, 26, 6–7, 693–702.10.1016/S0894-1777(02)00176-0
- Matoušek, V., 2009. Predictive model for frictional pressure drop in settling-slurry pipe with stationary deposit. Powder Technology, 192, 3, 367–374.10.1016/j.powtec.2009.01.017
- McLaughlin, J.B., 1991. Inertial migration of a small sphere in linear shear flows. J. Fluid Mech., 224, 261–274, 332.10.1017/S0022112091001751
- Messa, G.V., Matoušek, V., 2020. Analysis and discussion of two fluid modelling of pipe flow of fully suspended slurry. Powder Technology, 360, 747–768.10.1016/j.powtec.2019.09.017
- Messa, G.V., Malin, M., Malavasi, S., 2014. Numerical prediction of fully-suspended slurry flow in horizontal pipes. Powder Technology, 256, 61–70.10.1016/j.powtec.2014.02.005
- Messa, G.V., Malin, M., Matoušek, V., 2021. Parametric study of the β-σ two-fluid model for simulating fully suspended slurry flow: effect of flow conditions. Meccanica, 5, 1–31.10.1007/s11012-021-01314-6
- 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, 487–491.10.1029/TR014i001p00487
- Roco, M.C., Shook, C.A., 1983. Modeling of slurry flow: the effect of particle size. The Canadian Journal of Chemical Engineering, 61, 4, 494–503.10.1002/cjce.5450610402
- Rodi, W., 1993. Turbulence Models and Their Application in Hydraulics. 2nd Ed. CRC Press.
- Rouse, H., 1937. Modern conceptions of the mechanics of fluid turbulence. Trans ASCE, 102, 463–505.10.1061/TACEAT.0004872
- Segre, G., Silberberg, A., 1962. Behavior of macroscopic rigid spheres in Poiseuille flow. J. Fluid Mech, 14.10.1017/S0022112062001111
- Schaan, J., Sumner, R.J., Gillies, R.G., Shook, C.A., 2000. The effect of particle shape on pipeline friction for Newtonian slurries of fine particles. The Canadian Journal of Chemical Engineering, 78, 4, 717–725.10.1002/cjce.5450780414
- Shook, C.A., Daniel, S.M., 1965. Flow of suspensions of solids in pipelines: Part I. Flow with a stable stationary deposit. The Canadian Journal of Chemical Engineering, 43, 2, 56–61.10.1002/cjce.5450430202
- Shook, C.A., Daniel, S.M., Scott, J.A., Holgate, J.P., 1968. Flow of suspensions in pipelines (Part 2: Two mechanisms of particle suspension). The Canadian Journal of Chemical Engineering, 46, 4, 238–244.10.1002/cjce.5450460405
- Silin, M.O., Kobernik, S.G., Asaulenko, I.A., 1958. Druckhohenverluste von Wasser und Wasser-Boden-Gemischen in Rohrleitungen grossen Durchmessers. Dopovidi Natsional’noi Akademii nauk Ukrainy, 2, 175–177.
- Syamlal, M., Rogers, W., OBrien, T.J., 1993. MFIX documentation theory guide (No. DOE/METC-94/1004). USDOE Morgantown Energy Technology Center, WV (United States).10.2172/10145548
- Ting, X., Miedema, S.A., Xiuhan, C., 2019. Comparative analysis between CFD model and DHLLDV model in fully-suspended slurry flow. Ocean Engineering, 181, 29–42.10.1016/j.oceaneng.2019.03.065
- Turian, R.M., Yuan, T.F., 1977. Flow of slurries in pipelines. AIChE Journal, 23, 3, 232–243.10.1002/aic.690230305
- Uzi, A., Levy, A., 2018. Flow characteristics of coarse particles in horizontal hydraulic conveying. Powder Technology, 326, 302–321.10.1016/j.powtec.2017.11.067
- van Wachem, B.G.M., 2000. CFD simulations of gas-solid fluidised beds. PhD Thesis in Chemical Engineering. Delf University of Technology, Delft.
- Wilson, K.C., Clift, R., Sellgren, A., 2002. Operating points for pipelines carrying concentrated heterogeneous slurries. Powder Technology, 123, 1, 19–24.10.1016/S0032-5910(01)00423-5
- Zhang, D.Z., Rauenzahn, R.M., 1997. A viscoelastic model for dense granular flows. Journal of Rheology, 41, 6, 1275–1298.10.1122/1.550844
- Zheng, E., Rudman, M., Kuang, S., Chryss, A., 2020. Turbulent coarse-particle suspension flow: Measurement and modelling. Powder Technology, 373, 647–659.10.1016/j.powtec.2020.06.080