Abstract
The purpose of this work is to study the similarity behavior of high-shear fluid-particle interaction with numerical simulations. Specifically, we demonstrate the process in vessels with four-blade impellers. Through the study, we provide guidance for practices scaling from lab tests to industrial level, which is a major interest in industry when computer capacity is limited and large scale tests are prohibitive. The numerical simulation is based on a coupling technique of SPH and DEM. Scale-up tests for particles as well as mixers are presented to illustrate the similarity behavior under certain scaling conditions. We examine the effects when multiple types of particles are included in the fluid as well. Through the tests, similarity behavior is observed in several aspects, such as particle distribution in number, velocity, energy, mass and volume. The results indicate that using less particles to reproduce the original system is a feasible practice.
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References
Bertrand, F., Leclaire, L., Levecque, G.: Dem-based models for the mixing of granular materials. Chem. Eng. Sci. 60(8–9), 2517–2531 (2005)
Chaudhuri, B., Mehrotra, A., Muzzio, F., Tomassone, M.: Cohesive effects in powder mixing in a tumbling blender. Powder Technol. 165(2), 105–114 (2006)
Cleary, P.: Modelling confined multi-material heat and mass flows using sph. Appl. Math. Model. 22(12), 981–993 (1998)
Cleary, P.: Prediction of coupled particle and fluid flows using dem and sph. Miner. Eng. 73, 85–99 (2015)
Cooper, S., Coronella, C.: Cfd simulations of particle mixing in a binary fluidized bed. Powder Technol. 151(1–3), 27–36 (2005)
Cundall, P., Strack, O.: A discrete numerical model for granular assemblies. Géotechnique 29(1), 47–65 (1979)
Dury, C., Ristow, G.: Radial segregation in a two-dimensional rotating drum. J. de Physique I 7(5), 737–745 (1997)
Ghaboussi, J., Barbosa, R.: Three-dimensional discrete element method for granular materials. Int. J. Numer. Anal. Method Geomech. 14(7), 451–472 (1990)
Gingold, R., Monaghan, J.: Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181(3), 375–389 (1977)
Glicksman, L.: Scaling relationships for fluidized beds. Chem. Eng. Sci. 39(9), 1373–1379 (1984)
Glicksman, L., Hyre, M., Woloshun, K.: Simplified scaling relationships for fluidized beds. Powder Technol. 77(2), 177–199 (1993)
Gui, N., Fan, J., Cen, K.: A macroscopic and microscopic study of particle mixing in a rotating tumbler. Chem. Eng. Sci. 65(10), 3034–3041 (2010)
Harnby, N., Edwards, M., Nienow, A.: Mixing in the Process Industries, 2nd edn. Butterworth-Heinemann, Oxford (1997)
Jajcevica, D., Siegmanna, E., Radekea, C., Khinast, J.: Large-scale cfd-dem simulations of fluidized granular systems. Chem. Eng. Sci. 98, 298–310 (2013)
Ladd, A., Verberg, R.: Lattice-boltzmann simulations of particle-fluid suspensions. J. Stat. Phys. 104(5), 1191–1251 (2001)
Lan, Y., Rosato, A.: Macroscopic behavior of vibrating beds of smooth inelastic spheres. Phys. Fluids 7(8), 1818–1831 (1995)
Leonardi, A., Wittel, F., Mendoza, M., Herrmann, H.: Coupled dem-lbm method for the free-surface simulation of heterogeneous suspensions. Comput. Part. Mech. 1(1), 3–13 (2014)
Liu, G., Liu, M.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World Scientific, Singapore (2003)
Liu, H., Tafti, D., Li, T.: Hybrid parallelism in mfix cfd-dem using openmp. Powder Technol. 259, 22–29 (2014)
Liu, P., Yang, R., Yu, A.: Dem study of the transverse mixing of wet particles in rotating drums. Chem. Eng. Sci. 86, 99–107 (2013)
Metcalfe, G., Shinbrot, T., McCarthy, J., Ottino, J.: Avalanche mixing of granular solids. Nature 374(6517), 39–41 (1995)
Monaghan, J.: Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30, 543–574 (1992)
Monaghan, J.: Smoothed particle hydrodynamics. Rep. Progress Phys. 68, 1703–1759 (2005)
Monaghan, J., Gingold, R.: Shock simulation by the particle method sph. J. Comput. Phys. 52(2), 374–389 (1983)
Mora, P., Place, D.: Simulation of the frictional stick-slip instability. Pure Appl. Geophys. 143(1), 61–87 (1994)
Nguyena, D., Rasmusona, A., Bjorn, I., Thalberg, K.: Cfd simulation of transient particle mixing in a high shear mixer. Powder Technol. 258, 324–330 (2014)
Ommen, J., Teuling, M., Nijenhuis, J., Wachem, B.: Computational validation of the scaling rules for fluidized beds. Powder Technol. 163, 32–40 (2006)
Radeke, C., Glasser, B., Khinast, J.: Large-scale powder mixer simulations using massively parallel gpu architectures. Chem. Eng. Sci. 65(24), 6435–6442 (2010)
Rayleigh, L.: Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. P. Lond. Math. Soc. 14, 170–177 (1883)
Robinson, M., Ramaioli, M., Luding, S.: Fluid-particle flow simulations using two-way-coupled mesoscale sph-dem and validation. Int. J. Multiph. Flow 59, 121–134 (2014)
Silbert, L., Ertas, D., Grest, G., Halsey, T., Levine, D., Plimpton, S.: Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64(5), 051302 (2001)
Stevens, A., Hrenya, C.: Comparison of soft-sphere models to measurements of collision properties during normal impacts. Powder Technol. 154(2–3), 99–109 (2005)
Sun, X., Sakai, M., Yamada, Y.: Three-dimensional simulation of a solid-liquid flow by the dem-sph method. J. Comput. Phys. 248, 147–176 (2013)
Tardos, G., Hapgood, K., Ipadeola, O., Michaels, J.: Stress measurements in high-shear granulators using calibrated "test" particles: application to scale-up. Powder Technol. 140, 217–227 (2004)
Taylor, G.I.: The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. P. R. Soc. A Math. Phys. 201, 192–196 (1950)
Tsuji, Y., Kawaguchi, T., Tanaka, T.: Discrete particle simulation of two-dimensional fluidized bed. Powder Technol. 77(1), 79–87 (1993)
Zhu, H., Zhou, Z., Yang, R., Yu, A.: Discrete particle simulation of particulate systems: theoretical developments. Chem. Eng. Sci. 62(13), 3378–3396 (2007)
Acknowledgements
This work is part of an ongoing project which is funded by U.S. Air Force(Grant No. AF14-AT22). The financial support is greatly appreciated. The author also thank the Extreme Science and Engineering Discovery Environment(XSEDE) for providing the access to the clusters for numerical simulations.
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Tong, Q., Zhu, S. & Yin, H. Scale-up study of high-shear fluid-particle mixing based on coupled SPH/DEM simulation. Granular Matter 20, 34 (2018). https://doi.org/10.1007/s10035-018-0807-0
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DOI: https://doi.org/10.1007/s10035-018-0807-0