Bingham fluid simulation with the incompressible lattice Boltzmann model

Journal of Non-Newtonian Fluid Mechanics - Tập 166 - Trang 145-151 - 2011
G.H. Tang1, S.B. Wang1, P.X. Ye1, W.Q. Tao1
1State Key Lab of Multiphase Flow, School of Energy and Power Engineering, Xi’an Jiaotong University, 28, Xianning West Road, Xi’an 710049, China

Tài liệu tham khảo

Bingham, 1922 Scott, 1988, Finite-element simulation of laminar viscoplastic flows with regions of recirculation, J. Rheol., 32, 387, 10.1122/1.549976 Abdali, 1992, Entry and exit flows of Bingham fluids, J. Rheol., 36, 389, 10.1122/1.550350 Mitsoulis, 1993, Flow simulation of Herschel–Bulkley fluids through extrusion dies, Can. J. Chem. Eng., 71, 147, 10.1002/cjce.5450710120 Mitsoulis, 2004, Entry flows of Bingham plastics in expansions, J. Non-Newtonian Fluid Mech., 122, 45, 10.1016/j.jnnfm.2003.10.007 Mitsoulis, 2006, Pressure-driven flows of Bingham plastics over a square cavity, ASME J. Fluids Eng., 128, 993, 10.1115/1.2236130 Burgos, 1999, Flow development of Herschel–Bulkley fluids in a sudden three-dimensional square expansion, J. Rheol., 43, 485, 10.1122/1.550993 Qian, 1992, Lattice BGK models for Navier–Stokes equation, Europhys. Lett., 17, 479, 10.1209/0295-5075/17/6/001 Succi, 2001 Aharonov, 1993, Non-Newotonian flow (through Porous media): a lattice Boltzmann method, Geophys. Res. Lett., 20, 679, 10.1029/93GL00473 Boek, 2003, Lattice Boltzmann simulations of the flow of non-Newtonian fluids in porous media, Int. J. Mod. Phys. B, 17, 99, 10.1142/S021797920301714X Gabbanelli, 2005, Lattice Boltzmann method for non-Newtonian (power-law) fluids, Phys. Rev. E, 72, 046312, 10.1103/PhysRevE.72.046312 Boyd, 2006, A second-order accurate lattice Boltzmann non-Newtonian flow model, J. Phys. A, 39, 1424, 10.1088/0305-4470/39/46/001 Sullivan, 2006, Simulation of power-law fluid flow through porous media using lattice Boltzmann techniques, J. Non-Newtonian Fluid Mech., 133, 91, 10.1016/j.jnnfm.2005.11.003 Boyd, 2007, Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method, Phys. Fluids, 19, 093103, 10.1063/1.2772250 Sullivan, 2007, Verification of shear-thinning LB simulations in complex geometries, J. Non-Newtonian Fluid Mech., 143, 59, 10.1016/j.jnnfm.2006.12.008 Wang, 2008, Lattice Boltzmann modeling of Bingham plastics, Physica A, 387, 4740, 10.1016/j.physa.2008.04.008 Vikhansky, 2008, Lattice-Boltzmann method for yield-stress liquids, J. Non-Newtonian Fluid Mech., 155, 10.1016/j.jnnfm.2007.09.001 Tang, 2009, Electroosmotic flow of non-Newtonian fluid in microchannels, J. Non-Newtonian Fluid Mech., 157, 133, 10.1016/j.jnnfm.2008.11.002 Tang, 2010, Electroviscous effect on non-Newtonian fluid flow in microchannels, J. Non-Newtonian Fluid Mech., 165, 435, 10.1016/j.jnnfm.2010.01.026 He, 1997, Lattice Boltzmann model for the incompressible Navier–Stokes equation, J. Stat. Phys., 88, 927, 10.1023/B:JOSS.0000015179.12689.e4 Papanastasiou, 1987, Flows of materials with yield, J. Rheol., 31, 385, 10.1122/1.549926 Bird, 1983, The rheology and flow of viscoplastic materials, Rev. Chem. Eng., 1, 1, 10.1515/revce-1983-0102 Alexandrou, 2001, Steady Herschel–Bulkley fluid flow in three dimensional expansions, J. Non-Newtonian Fluid Mech., 100, 77, 10.1016/S0377-0257(01)00127-6 Zou, 1997, On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys. Fluids, 9, 1591, 10.1063/1.869307 Bird, 1960 Stukan, 2008, Flow of wormlike micelles in an expansion-contraction geometry, Soft Matter, 4, 870, 10.1039/b713498c