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