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CFD, Non-Newtonian fluid.


The flow of rheologically complex fluids in industrial equipment poses a number of challenges, not least from a modeling point of view. Research is needed to further understand and be able to predict the flow behavior of such materials and to investigate ways of improving their processing. The Non-Newtonian Solid-Liquid fluid flow behavior in horizontal and vertical pipes can be predicted by various methods which are mention in the paper. In the literature, it is also shows that Computational Fluid dyanamices (CFD) has sufficient capability to deal with such type of flow and was capable of giving predictions of pressure drop which were probably better and more reliable than the correlations available in the literature.


Acta Mechanica Slovaca. Volume 16, Issue 2, Pages 62 – 73, ISSN 1335-2393


  Solid Liquid Non-Newtonian Fluid Flow in Pipe: A Review


[1] Abdul Ghani, A.G. & Farid, M.M. 2007. Numerical simulation of solid-liquid food mixture in a high pressure processing unit using computational fluid dynamics. J. Food Eng., 80 (4), 1031 1042.

[2] Alajbegovic, A., Asad, A., Bonetto, F. & Lahey Jr., R.T. 1994. Phase distribution and turbulence structure for solid/liquid upflow in a pipe. Int. J. Multiphase Flow, 20 (3), 453-479.
[3] Altobelli, S.A., Givler, R.C. & Fukushima, E. 1991. Velocity and concentration measurements of suspensions by nuclear magnetic resonance imaging. J. Rheol, 35 (5), 721-734.
[4] Babcock, H.A. 1971. Heterogeneous flow of heterogeneous solids. In: Advances in solid-liquid flow in pipes and its application. Zandi, I. (Editor), Pergamon Press, N.Y.
[5] Barigou, M., Fairhurst, P. G., Fryer, P.J. & Pain, J.-P. 2003. Concentric flow regime of solid liquid food suspensions: theory and experiment. Chemical Engineering Science, 58, 1671-1686.
[6] Brown, N.P. & Heywood, N.I. 1991. Slurry handling: design of solidliquid systems. Elsevier Science Publishing LTD.
[7] Chakrabandhu, K. & Singh, R.K. 2005. Rheological properties of coarse food suspensions in tube flow at high temperatures. Journal of Food Engineering, 66, 117- 128.
[8] Charles, M.E. & Charles, R.A. 1971. In: Advances in solid-liquid flow and its applications. Zandi, I. (Editor), Pergamon.
[9] Chhabra, R.P. & Richardson, J.F. 1999. Non-Newtonian flow in the process industries: Fundamentals and engineering applications. Butterworth Heinemann.
[10] Chhabra, R.P. & Richardson, J.F. 1985. Hydraulic transport of coarse particles in viscous Newtonian and non-Newtonian media in a horizontal pipe. Chem Eng Res Des, 63,

[11] Crowe, C.T., Sommerfeld, M. & Tsuji, Y. 1998. Multiphase flows with droplets and particles. CRC Press LLC.
[12] Darby, R., 1986. Encyclopedia of Fluid Mechanics. Vol 5, Slurry flow technology. Cheremisinoff, N.P. (Editor). Gulf Publishing Company, Houston, Texas.
[13] Ding, J., Lyczkiwski, R.W., Sha, W.T., Altobelli, S.A. & Fukushima, E. 1993. Numerical analysis of liquid-solids suspension velocities and concentrations obtained by NMR imaging. Powder Technology, 77, 301-312.
[14] Doron, P. & Barnea, D. 1995. Pressure drop and limit deposit velocity for solid-liquid flow in pipes. Chemical Engineering Science, 50 (10), 1595-1604.
[15] Doron, P. & Barnea, D. 1993. A three-layer model for solid-liquid flow in horizontal pipes. Int. J. Multiphase Flow, 19, 1029-1043.
[16] Duckworth, R.A., Pullum, L. & Lockyear, C.F. 1983. The hydraulic transport of coarse coal at high concentration. J. Pipelines, 3, 251-65.
[17] Duckworth, R.A., Pullum, L., Addie, G.R. & Lockyear, C.F. 1986. Pipeline transport of coarse materials in a non-Newtonian carrier fluid. Hydrotransport 10, Paper C2, 69- 88.
[18] Durand R. 1953. Basic relationship of the transportation of solids in pipes experimental research. Proc. of Minnesota Int. Hydraulic Convention. Minneapolis, MN, 89-103.
[19] Durand, R. & Condolios, E. 1952. Experimental study of the hydraulic transport of coal and solid materials in pipes. Proc. Colloq. on the hydraulic transport of coal. National Coal
Board, London, UK, Paper IV, 39-55. [Cited in: Shook and Roco, 1991]
[20] Eesa, M. & Barigou, M. 2008. Horizontal laminar flow of coarse nearly-neutrally buoyant particles in non-Newtonian conveying fluids: CFD and PEPT experiments compared. Int. J.Multiphase Flow, 34, 997-1007.
[21] Eesa, M. & Barigou, M. 2009. CFD investigation of the pipe transport of coarse solids in laminar power law fluids. Chemical Engineering Science, 64, 322-333.
[22] Fairhurst, P.G., Barigou, M., Fryer, P.J., Pain, J-P. & Parker, D.J. 2001. Using positron emission particle tracking (PEPT) to study nearly neutrally buoyant particles in high solid fraction pipe flow. Int. Journal of Multiphase Flow, 27, 1881-1901.
[23] Fregert, J. 1995. Velocity and concentration profiles for a laminar flow for a fluid containing large spheres in a horizontal pipe. Ph.D thesis, Lund University, Sweden.
[24] Ghosh, T. & Shook, C.A. 1990. In: Freight pipelines, H. Liu and G.F. Round (Editors), Hemisphere.
[25] Gradeck, M., Fagla, B.F.Z., Baravian, C. & Lebouché, M. 2005. Technical Note: Experimental thermomechanic study of Newtonian and non-Newtonian suspension flows. Int. Journal of Heat and Mass Transfer, 48, 3769-3477.
[26] Khan, A.R. & Richardson, J.F. 1987. The resistance to motion of a solid sphere in a fluid. Chem. Eng. Commun., 62, 135-150.
[27] Kleinstreuer, C. 2003. Two-phase flow: theory and applications. Taylor & Francis Books, Inc.
[28] Kowalewski, T.A. 1980. Velocity profiles of suspension flowing through a tube. Arch Mech, 32 (6), 857-865.
[29] Krampa-Morlu, F.N., Bergstrom, D.J., Bugg, J.D., Sanders, R.S. & Schaan, J. 2004. Numerical Simulation of dense coarse particle slurry flows in a vertical pipe. 5th International Conference on Multiphase Flow, ICMF’04, paper No.460.
[30] Lareo, C., Nedderman, R.M. & Fryer, P.J. 1997(c). Particle velocity profiles for solid liquid food flows in vertical pipes, Part II: multiple particles. Powder Technology, 93, 35-45.
[31] Legrand, A., Berthou, M. & Fillaudeau, L. 2007. Characterization of solid-liquid suspensions (real, large non-spherical particles in non-Newtonian carrier fluid) flowing in horizontal and  vertical pipes. Journal of Food Engineering, 78, 345-355.

[32] Le Guer, Y., Reghem, P., Petit, I. & Stutz, B. 2003. Experimental study of a buoyant particle dispersion in pipe flow. Trans IChemE, 81, Part A, 1136-1143.
[33] Maciejewski, W., Lord, E., Gillies, R. & Shook, C. 1997. Pipeline transport of large ablating particles in a non-Newtonian carrier. Powder Technology, 94, 223-228.
[34] McCarthy, K.L, Kerr, W.L. & Kauten, R.J. 1997. Velocity profiles of fluid/particulate mixtures in pipe flow using MRI. J. Food Process. Eng, 20, 165-177.
[35] Newitt, D.M., Richardson, J.F. & Gliddon, J.F. 1961. Hydraulic conveying of solids in vertical pipes. Trans. Instn. Chem. Eng.,39, 93-100.
[36] Newitt, D.M., Richardson, J.F. & Shook, C.A. 1962. Hydraulic conveying of solids in horizontal pipes. Part II: Distribution of particles and slip velocities. In: Proceedings: Interaction between fluids and particles, IChemE, London, 87-100.
[37] Norton, T. & Sun, D.W. 2006. Computational fluid dynamics (CFD) an effective and efficient design and analysis tool for the food industry: A review. Trends in Food Science & Technology, 17, 600-620.
[38] Rasteiro M.G., Figueiredo M.M. & Franco H. 1993. Pressure drop for solid/liquid flow in pipes. Particulate Science and Technology, 11, No. 3-4: 147-155.
[39] Roberts, C.P.R. & Kennedy, J.F. 1971. Particle and fluid velocities of turbulent flows of suspensions of neutrally buoyant particles. In Advances in Solid-Liquid Flow in Pipes and Its Applications.
[40] Zandi, I. (Editor), 59-72. Pergamon Press, Oxford, UK. 

[41] Shah, S.N. & Lord, D.L. 1991. Critical velocity correlations for slurry transport with non-Newtonian fluids. AIChE J., 37 (6), 863-870.
[42] Shook, C.A. & Roco, M.C. 1991. Slurry flow: principles and practice. Butterworth- Heimemann.
[43] Sinton, S.W. & Chow, A.W. 1991. NMR flow imaging of fluids and solid suspensions in Poiseuille flow. J. Rheol, 35 (5), 735-771.
[44] Smith, K.M., Davidson, M.R & Lawson, N.J. 2000. Dispersion of neutrally buoyant solids falling vertically into stationary liquid and horizontal channel flow. Computers & Fluids, 29, 369-384.
[45] Sumner, R.J., McKibben, M.J. & Shook, C.A. 1990. Concentration and velocity distributions in turbulent vertical slurry flows. Ecoulements Solide-Liquide, 2 (2): 33-42
[46] Turian, R.M. & Yuan, T.F. 1977. Flow of Slurries in Pipelines. AIChE J., 23 (3), 232- 243.
[47] Turian, R.M., Yuan, T.F. & Giacomo, M. 1971. Pressure drop correlation for pipeline flow of solid-liquid suspensions. AIChE J.,17, No. 4, 809-817.
[48] Van Wachem, B.G.M. & Almstedt, A.E. 2003. Methods for multiphase computational fluid dynamics. Chemical Engineering Journal, 96, 81-98.
[49] Zandi, I. & Govatos, G. 1967. Heterogeneous flow of solids in pipelines. Journal of Hydraulics Division, Proceedings of the American Society of Civil Engineers,

May, 93 (HY3): 145-159

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