Numerical simulation of planar elongational flow of concentrated rigid particle suspensions in a viscoelastic fluid
Tóm tắt
Từ khóa
Tài liệu tham khảo
D’Avino, 2007, A numerical method for simulating concentrated rigid particle suspensions in an elongational flow using a fixed grid, J. Comput. Phys., 226, 688, 10.1016/j.jcp.2007.04.027
Macosko, 1994
Laun, 1984, Rheological properties of aqueous polymer dispersions, Angew. Makromol. Chem., 124–125, 335, 10.1002/apmc.1984.051230115
Einstein, 1906, Berichtigung zu Meiner Arbeiten: Eine Neue Bestimmung der Molekul Dimensionen, Ann Phys Berl, 19, 289, 10.1002/andp.19063240204
Greco, 2005, Stress tensor of a dilute suspension of spheres in a viscoelastic liquid, Phys. Rev. Lett., 95, 246001, 10.1103/PhysRevLett.95.246001
Greco, 2007, Erratum—stress tensor of a dilute suspension of spheres in a viscoelastic liquid (vol. 95, p. 246001, 2005), Phys. Rev. Lett., 98, 109904, 10.1103/PhysRevLett.98.109904
F. Greco, G. D’Avino, and P.L. Maffettone. Rheology of a dilute suspension of rigid spheres in a second order fluid. J. Non-Newtonian Fluid Mech. 147 (2007) 1–10.
Barnes, 2003, A review of the rheology of filled viscoelastic systems
Mall-Gleissle, 2002, The normal stress behaviour of suspensions with viscoelastic matrix fluids, Rheol. Acta, 41, 61, 10.1007/s003970200006
Le Meins, 2003, Suspensions of monodisperse spheres in polymer melts: particle size effects in extensional flow, Rheol. Acta, 42, 184, 10.1007/s00397-002-0270-y
Brady, 1988, Stokesian dynamics, Annu. Rev. Fluid Mech., 20, 111, 10.1146/annurev.fl.20.010188.000551
Smereka, 1993, On the motion of bubbles in a periodic box, J. Fluid Mech., 254, 79, 10.1017/S0022112093002046
Sangani, 1993, Dynamic simulations of flow of bubbly liquids at large Reynolds numbers, J. Fluid Mech., 250, 307, 10.1017/S0022112093001478
Hwang, 2006, Direct numerical simulations of hard particle suspensions in planar elongational flow, J. Non-Newtonian Fluid Mech., 136, 167, 10.1016/j.jnnfm.2006.04.004
Guénette, 1995, A new mixed finite element method for computing viscoelastic flows, J. Non-Newtonian Fluid Mech., 60, 27, 10.1016/0377-0257(95)01372-3
Brooks, 1982, Streamline upwind/Petrov–Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations, Comput. Meth. Appl. Mech. Eng., 32, 199, 10.1016/0045-7825(82)90071-8
Bogaerds, 2002, Stability analysis of polymer shear flows using the extended pom-pom constitutive equations, J. Non-Newtonian Fluid Mech., 108, 187, 10.1016/S0377-0257(02)00130-1
Szady, 1995, A new mixed finite element method for viscoelastic flows governed by differential constitutive equations, J. Non-Newtonian Fluid Mech., 59, 215, 10.1016/0377-0257(95)01370-B
Baaijens, 2001, Mixed finite element methods for viscoelastic flow analysis: a review, Int. J. Numer. Math. Fluids, 35, 743, 10.1002/1097-0363(20010415)35:7<743::AID-FLD109>3.3.CO;2-1
Baaijens, 2004, The use of mixed finite element methods for viscoelastic fluid flow analysis, 481
Fattal, 2004, Constitutive laws for the matrix-logarithm of the conformation tensor, J. Non-Newtonian Fluid Mech., 123, 281, 10.1016/j.jnnfm.2004.08.008
Hulsen, 2005, Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms, J. Non-Newtonian Fluid Mech., 127, 27, 10.1016/j.jnnfm.2005.01.002
Glowinski, 1999, A distributed Lagrangian multipliers/fictitious domain method for particulate flows, Int. J. Multiphase Flow, 25, 755, 10.1016/S0301-9322(98)00048-2
Hwang, 2004, Direct simulation of particle suspensions in sliding bi-periodic frames, J. Comput. Phys., 194, 742, 10.1016/j.jcp.2003.09.023
Hwang, 2004, Direct simulation of particle suspensions in a viscoelastic fluid in sliding bi-periodic frames, J. Non-Newtonian Fluid Mech., 121, 15, 10.1016/j.jnnfm.2004.03.008
Batchelor, 1970, The stress system in a suspension of force-free particles, J. Fluid Mech., 41, 545, 10.1017/S0022112070000745
HSL, A Collection of Fortran Codes for Large Scale Scientific Computation, 2002. Available from: http://www.cse.clrc.ac.uk/nag/hsl/.
Larson, 1988
Kobayashi, 1995, Flow-induced whisker orientation and viscosity for molten composite systems in a uniaxial elongational flow-field, Polymer, 36, 3927, 10.1016/0032-3861(95)99787-U