On the validity of the two-fluid-KTGF approach for dense gravity-driven granular flows as implemented in ANSYS Fluent R17.2

Powder Technology - Tập 364 - Trang 429-456 - 2020
Alexander Busch1, Stein Tore Johansen1,2
1Norwegian University of Science and Technology (NTNU), Trondheim, Norway
2SINTEF Industry, Trondheim, Norway

Tài liệu tham khảo

Delannay, 2017, Granular and particle-laden flows: from laboratory experiments to field observations, J. Phys. D. Appl. Phys., 50, 10.1088/1361-6463/50/5/053001 Bougouin, 2018, Granular collapse in a fluid: different flow regimes for an initially dense-packing, Physical Review Fluids, 3, 10.1103/PhysRevFluids.3.064305 Lube, 2005, Collapses of two-dimensional granular columns, Phys. Rev. E, 72, 10.1103/PhysRevE.72.041301 Mangeney, 2010, Erosion and mobility in granular collapse over sloping beds, J. Geophys. Res., 115 de Vet, 2010, Collapse of a rectangular well in a quasi-two-dimensional granular bed, Phys. Rev. E, 82, 10.1103/PhysRevE.82.041304 de Vet, 2007, Shape of impact craters in granular media, Phys. Rev. E, 76, 10.1103/PhysRevE.76.041306 Siavoshi, 2005, Failure of a granular step, Phys. Rev. E, 71, 10.1103/PhysRevE.71.051302 Thompson, 2007, Granular column collapses: further experimental results, J. Fluid Mech., 575, 177, 10.1017/S0022112006004563 Lacaze, 2008, Planar collapse of a granular column: experiments and discrete element simulations, Phys. Fluids, 20, 10.1063/1.2929375 Rondon, 2011, Granular collapse in a fluid: role of the initial volume fraction, Phys. Fluids, 23, 10.1063/1.3594200 Pailha, 2008, 1027, 935 Jop, 2015, Rheological properties of dense granular flows, Comptes Rendus Physique, 16, 62, 10.1016/j.crhy.2014.12.001 Jop, 2006, A constitutive law for dense granular flows, Nature, 441, 727, 10.1038/nature04801 da Cruz, 2005, Rheophysics of dense granular materials: discrete simulation of plane shear flows, Phys. Rev. E, 72, 10.1103/PhysRevE.72.021309 Lagrée, 2011, The granular column collapse as a continuum: validity of a two-dimensional Navier–stokes model with a μ(I)-rheology, J. Fluid Mech., 686, 378, 10.1017/jfm.2011.335 Barker, 2017, Well-posed continuum equations for granular flow with compressibility and μ ( I )-rheology, Proc. R. Soc. A, 473, 10.1098/rspa.2016.0846 Savage, 1983, Granular flows down rough inclines - review and extension, vol. 7, 261, 10.1016/B978-0-444-42192-0.50028-1 Savage, 1996, Solids transport, separation and classification, Powder Technol., 88, 323, 10.1016/S0032-5910(96)03137-3 Savage, 1981, The stress tensor in a granular flow at high shear rates, J. Fluid Mech., 110, 255, 10.1017/S0022112081000736 Lun, 1984, Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield, J. Fluid Mech., 140, 223, 10.1017/S0022112084000586 Johnson, 1987, Frictional–collisional constitutive relations for granular materials, with application to plane shearing, J. Fluid Mech., 176, 67, 10.1017/S0022112087000570 Syamlal, 1993, MFIX Documentation Theory Guide. Morgantown: U.S. Department of Energy Schaeffer, 1987, Instability in the evolution equations describing incompressible granular flow, Journal of differential equations, 66, 19, 10.1016/0022-0396(87)90038-6 Schneiderbauer, 2012, A comprehensive frictional-kinetic model for gas–particle flows: analysis of fluidized and moving bed regimes, Chem. Eng. Sci., 80, 279, 10.1016/j.ces.2012.06.041 Chialvo, 2013, A modified kinetic theory for frictional granular flows in dense and dilute regimes, Phys. Fluids, 25, 10.1063/1.4812804 Kumar, 2017, Mechanics of granular column collapse in fluid at varying slope angles, Journal of Hydrodynamics, Ser. B, 29, 529, 10.1016/S1001-6058(16)60766-7 Wang, 2017, Two-fluid smoothed particle hydrodynamics simulation of submerged granular column collapse, Mech. Res. Commun., 79, 15, 10.1016/j.mechrescom.2016.12.001 Laux, 1998 Ionescu, 2015, Viscoplastic modeling of granular column collapse with pressure-dependent rheology, J. Non-Newtonian Fluid Mech., 219, 1, 10.1016/j.jnnfm.2015.02.006 Ng, 2008, Assessment of the kinetic–frictional model for dense granular flow, Particuology, 6, 50, 10.1016/j.cpart.2007.10.002 Savage, 2014, Modeling gravitational collapse of rectangular granular piles in air and water, Mech. Res. Commun., 56, 1, 10.1016/j.mechrescom.2013.11.001 Nikolopoulos, 2012, Investigation of proper modeling of very dense granular flows in the recirculation system of CFBs, Particuology, 10, 699, 10.1016/j.partic.2012.09.001 Ghadirian, 2017, Numerical analysis of frictional behavior of dense gas–solid systems, Particuology, 32, 178, 10.1016/j.partic.2017.01.001 Gidaspow, 1992, Hydrodynamics of circulating fluidized beds: kinetic theory approach Wen, 1966, 62, 100 Ergun, 1952, Fluid flow through packed columns, Chem. Eng. Prog., 48, 89 Cross, 1965, Rheology of non-Newtonian fluids: a new flow equation for pseudoplastic systems, J. Colloid Sci., 20, 417, 10.1016/0095-8522(65)90022-X Busch, 2018, Rheological characterization of Polyanionic cellulose solutions with application to drilling fluids and cuttings transport modeling, Appl. Rheol., 28, 1 Ding, 1990, A bubbling fluidization model using kinetic theory of granular flow, AICHE J., 36, 523, 10.1002/aic.690360404 Bagnold, 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, 49 Ogawa, 1980, On the equations of fully fluidized granular materials, Zeitschrift für angewandte Mathematik und Physik ZAMP, 31, 483, 10.1007/BF01590859 Sinclair, 1989, Gas-particle flow in a vertical pipe with particle-particle interactions, AICHE J., 35, 1473, 10.1002/aic.690350908 Vasquez, 2000, A phase coupled method for solving multiphase problems on unstructured mesh Leonard, 1979, A stable and accurate convective modelling procedure based on quadratic upstream interpolation, Comput. Methods Appl. Mech. Eng., 19, 59, 10.1016/0045-7825(79)90034-3 ANSYS, 2016, vol. 2 ANSYS, 2016, vol. 2 Rhie, 1983, Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA J., 21, 1525, 10.2514/3.8284 Karema, 2002, Numerical treatment of inter-phase coupling and phasic pressures in multi-fluid modelling, VTT PUBLICATIONS, 4, 8 Syamlal, 1998 Meese, 2017, A simulation concept for generic simulation of multi-material flow using staggered cartesian grids, 253 Passalacqua, 2011, Implementation of an iterative solution procedure for multi-fluid gas–particle flow models on unstructured grids, Powder Technol., 213, 174, 10.1016/j.powtec.2011.07.030 Venier, 2016, Numerical aspects of Eulerian gas–particles flow formulations, Comput. Fluids, 133, 151, 10.1016/j.compfluid.2016.05.003 Noelle, 2006, Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows, J. Comput. Phys., 213, 474, 10.1016/j.jcp.2005.08.019