[Badr, H.M., Habib, M.A., Ben-Mansour, R., Said, S.A.M., 2005. Numerical investigation of erosion threshold velocity in a pipe with sudden contraction. Computers and Fluids, 34, 721-742.10.1016/j.compfluid.2004.05.010]Search in Google Scholar
[Badr, H.M., Habib, M.A., Ben-Mansour, R., Said, S.A.M., 2008. Erosion and penetration rates of a pipe protruded in a sudden contraction. Computers and Fluids, 37, 146-160.10.1016/j.compfluid.2007.05.002]Search in Google Scholar
[Chen, L., Duan, Y., Pu, W., Zhao, C., 2009. CFD simulation of coal-water slurry flowing in horizontal pipelines. Korean J. Chem. Eng., 26, 1144-1154.10.1007/s11814-009-0190-y]Search in Google Scholar
[Clift, R., Grace, J.R., Weber, M.E., 1978. Bubbles, Drops and Particles. Academic Press, London.]Search in Google Scholar
[Doron, P., Barnea, D., 1996. Flow pattern maps for solid-liquid flow in pipes. Int. J. Multiphase Flow, 22, 273-283.10.1016/0301-9322(95)00071-2]Search in Google Scholar
[Doron, P., Granica, D., Barnea, D., 1987. Slurry flow in horizontal pipes - experimental and modeling. Int. J. Multiphase Flow, 13, 535-547.10.1016/0301-9322(87)90020-6]Search in Google Scholar
[Duz, H., 2007. Theoretical Analysis of Sudden Expansion Fittings in Pneumatic Conveying System. M.Sc. Thesis, University of Gaziantep, Gaziantep, Turkey.]Search in Google Scholar
[Enwald, H., Peirano, E., Almstedt, A.E., 1996. Eulerian twophase flow theory applied to fluidization. Int. J. Multiphase Flow, 22, 21-66.10.1016/S0301-9322(96)90004-X]Search in Google Scholar
[Erdal, A., Anderssont, H.I., 1997. Numerical aspects of flow computation through orifices. Flow Meas. Instrum., 8, 27- -37.10.1016/S0955-5986(97)00017-4]Search in Google Scholar
[Fessler, J.R., Eaton, K.E., 1997. Particle response in a planar sudden expansion flow. Exp. Thermal and Fluid Science, 15, 413-423.10.1016/S0894-1777(97)00010-1]Search in Google Scholar
[Founti, M., Klipfel, A., 1998. Experimental and computational investigations of nearly dense two-phase sudden expansion flows. Exp. Thermal and Fluid Science, 17, 27-36.10.1016/S0894-1777(97)10046-2]Search in Google Scholar
[Frawley, P., O’Mahony, A.P., Geron, M., 2010. Comparison of Lagrangian and Eulerian simulations of slurry flows in a sudden expansion. ASME J. Fluids Eng., 132, 9, 191-301.10.1115/1.4002357]Search in Google Scholar
[Gillies, R.G., Shook, C.A., Xu, J., 2004. Modelling heterogeneous slurry flows at high velocities. Can. J. Chem. Eng., 82, 1060-1065.10.1002/cjce.5450820523]Search in Google Scholar
[Habib, M.A., Badr, H.M., Ben-Mansour, R., Said, S.A.M., 2004. Numerical calculations of erosion in an abrupt pipe contraction of different contraction ratios. Int. J. Num. Methods Fluids, 46, 19-35.10.1002/fld.744]Search in Google Scholar
[Habib, M.A., Badr, H.M., Ben-Mansour, R., Kabir, M.E., 2007. Erosion rate correlations of a pipe protruded in an abrupt pipe contraction. Int. J. Impact Eng., 34, 1350-1369.10.1016/j.ijimpeng.2006.07.007]Search in Google Scholar
[Ishii, M., Mishima, K., 1984. Two-fluid model and hydrodynamic constitutive relations. Nuclear Engineering and Design, 82, 107-126.10.1016/0029-5493(84)90207-3]Search in Google Scholar
[Kaushal, D.R., Tomita, Y., 2003. Comparative study of pressure drop in multisized particulate slurry flow through pipe and rectangular duct. Int. J. Multiphase Flow, 29, 1473- -1487.10.1016/S0301-9322(03)00125-3]Search in Google Scholar
[Kaushal, D.R., Sato, K., Toyota, T., Funatsu, K., Tomita, Y., 2005. Effect of particle size distribution on pressure drop and concentration profile in pipeline flow of highly concentrated slurry. Int. J. Multiphase Flow, 31, 809-823.10.1016/j.ijmultiphaseflow.2005.03.003]Search in Google Scholar
[Koronaki, E.D., Liakos, H.H., Founti, M.A., Markatos, N.C., 2001. Numerical study of turbulent diesel flow in a pipe with sudden expansion. Appl. Math. Mod., 25, 319-333.10.1016/S0307-904X(00)00055-X]Search in Google Scholar
[Lahiri, S.K., Ghanta, K.C., 2010. Slurry flow modeling by CFD. Chem. Ind. & Chem. Eng. Quarterly, 16, 295-308.10.2298/CICEQ091030031L]Search in Google Scholar
[Launder, B.E., Spalding, D.B., 1972. Mathematical Models of Turbulence. Academic Press, London.]Search in Google Scholar
[Lin, C.X., Ebadian, M.A., 2008. A numerical study of developing slurry flow in the entrance region of a horizontal pipe. Computers and Fluids, 37, 965-974.10.1016/j.compfluid.2007.10.008]Search in Google Scholar
[Ling, J., Skudarnov, P.V., Lin, C.X., Ebadian, M.A., 2003. Numerical investigations of solid-liquid slurry flows in a fully developed flow region. Int. J. Heat and Fluid Flow, 24, 389-398.10.1016/S0142-727X(03)00018-3]Search in Google Scholar
[Marjoanovic, P., Levy, A., Mason, D.J., 1999. An investigation of the flow structure through abrupt enlargement of circular pipe. Powder Technology, 104, 296-303.10.1016/S0032-5910(99)00107-2]Search in Google Scholar
[Matousek, V., 2000. Concentration distribution in pipeline flow of sand-water mixtures. J. Hydrol. Hydromech. 48, 180-196.]Search in Google Scholar
[Messa, G.V., Malavasi, S., 2012. Solid-liquid slurry flow through an upward-facing step. In: Atti del XXXIII Convegno Nazionale di Idraulica e Costruzioni Idrauliche IDRA12 (CD-ROM), Università degli Studi di Brescia, Brescia, Italy, 10-15 September 2012.]Search in Google Scholar
[Mohanarangam, K., Tu, T.J., 2009. Numerical study of particle turbulence interaction in liquid-particle flows. AIChE Journal, 55, 1298-1302.10.1002/aic.11729]Search in Google Scholar
[Pathak, M., 2011. Computational investigations of solid-liquid particle interaction in a two-phase flow around a ducted obstruction. J. Hydraulic. Res., 49, 96-104.10.1080/00221686.2010.537147]Search in Google Scholar
[Poole, R.J., Escudier, M.P., 2004. Turbulent flow of viscoelastic liquids through an axisymmetric sudden expansion. J. Non-Newtonian Fluid Mech., 117, 25-46.10.1016/j.jnnfm.2003.11.007]Search in Google Scholar
[Roache, P.J., 1998. Verification and Validation in Computational Science and Engineering. Hermosa, Albuquerque.]Search in Google Scholar
[Shaan, 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. Can. J. Chem. Eng., 78, 717-725.10.1002/cjce.5450780414]Search in Google Scholar
[Shook, C.A., Bartosik, A.S., 1994. Particle-wall stresses in vertical slurry flows. Powder Technol., 81, 117-124.10.1016/0032-5910(94)02877-X]Search in Google Scholar
[Shook, C.A., Roco, M.C., 1991. Slurry Flow: Principles and Practice. Butterworth-Heinemann, Stoneham.]Search in Google Scholar
[Siriboonluckul, N., Juntasaro, V., 2007. Turbulence modelling for wall-bounded particle-laden flow with separation. Int. Comm. Heat Mass Transfer, 34, 331-338.10.1016/j.icheatmasstransfer.2006.12.003]Search in Google Scholar
[Spalding, D.B., 1980. Numerical Computation of Multi-Phase Fluid Flow and Heat Transfer. In: Taylor, C., Morgan, K. (Eds.): Recent Advances in Numerical Methods in Fluids. Pineridge Press Limited, Swansea.]Search in Google Scholar
[Vlasak, P., Chara, Z., 2011. Effect of particle size distribution and concentration on flow behavior of dense slurries. Particul. Sci. Technol, 29, 53-65.10.1080/02726351.2010.508509]Search in Google Scholar
[Vlasak, P., Kysela, B., Chara, Z., 2012. Flow structure of coarse-grained slurry in a horizontal pipe. J. Hydrol. Hydromech., 60, 115-124.10.2478/v10098-012-0010-7]Search in Google Scholar
[Xiaowey, H., Liejin, G., 2010. Numerical investigation of catalyst- liquid slurry flow in the photocatalytic reactor for hydrogen production based on algebraic slip model. Int. J. Hydrogen Energy, 35, 7065-7072.10.1016/j.ijhydene.2009.12.162]Search in Google Scholar