A new method for direct simulations of flexible filament suspensions in non-zero Reynolds number flows

International Journal for Numerical Methods in Fluids

Volumn 54, Issue 1, 2007, Pages 103-118

  Qi, Dewei ^a  

^a WESTERN MICHIGAN UNIVERSITY   (United States)

Author keywords

Fibre orientation; Fibre suspensions; Lattice Boltzmann equation

Indexed keywords

BOLTZMANN EQUATION; DIRECT NUMERICAL SIMULATION; FIBERS; FLOW INTERACTIONS; REYNOLDS NUMBER; SUSPENSIONS (FLUIDS);

FIBRE SUSPENSIONS; LATTICE BOLTZMANN EQUATION; NON-ZERO REYNOLDS NUMBER FLOWS;

CONTACTS (FLUID MECHANICS);

BOLTZMANN EQUATION; CONTACTS (FLUID MECHANICS); DIRECT NUMERICAL SIMULATION; FIBERS; FLOW INTERACTIONS; REYNOLDS NUMBER; SUSPENSIONS (FLUIDS);

EID: 34247521044     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1398     Document Type: Article

References (37)

1. Dogic Z, Zhang J, Lau AWC, Aranda-Espinoza H, Dalhaimer P, Discher DE, Karmen RD, Janmey PA, Lubensky TC, Yodh AG. Elongation and fluctuations of semiflexible polymers in a nematic solvent. Physical Review Letters 2004; 92:125503.
2. Leal LG. The low motion in a viscous fluid. Journal of Fluid Mechanics 1975; 69:305.
3. Leal LG. Particle motion in a viscous fluid. Annual Review of Fluid Mechanics 1980; 271:311.
4. Doyle PS, Shaqfeh ESG, Gast AP. Dynamic simulation of freely draining flexible polymers in steady linear flows. Journal of Fluid Mechanics 1997; 334:251-291.
5. Jendrejack RM, Schwartz DC, de Pablo JJ, Graham MD. Shear-induced migration in flowing polymer solutions: simulation of long-chain dna in microchannels. Journal of Chemical Physics 2004; 120:2513.
6. Forgacs L, Mason SG. Particle motion in sheared suspension. Journal of Colloid Science 1959; 14:473-491.
7. Yamamoto S, Matsuoka T. A method for dynamics simulation of rigid and flexible fibres in a flow field. Journal of Chemical Physics 1992; 98:644-650.
8. Ymamoto S, Matsuoka T. Viscosity of dilute suspensions of rodlike particles: a numerical simulation method. Journal of Chemical Physics 1994; 100:3317-3324.
9. Ross R, Klingenberg D. Dynamics simulation of flexible fibers composed of linked rigid bodies. Journal of Chemical Physics 1997; 106:2949-2960.
10. Stokie JM, Green SI. Simulating the motion of flexible pulp finer using the immersed boundary method. Journal of Computational Physics 1998; 147:147-165.
11. Dong S, Feng X, Salcudean M, Gartshore I. Concentration of pulp fibers in 3d turbulent channel flow. Journal of Multiphase Flow 2003; 29:1-21.
12. Tornberg AK, Shelley MJ. Simulating the dynamics and interactions of flexible fibers in Stokes flows. Journal of Computational Physics 1998; 147:147.
13. Fan X, Phan-Thien N, Zheng R. A direct simulation of fiber suspensions. Journal of Non-Newtonian Fluid Mechanics 1998; 74:113.
14. Koch DL, Ladd AJC. Moderate Reynolds number flows through periodic and random arrays of aligned cylinders. Journal of Fluid Mechanics 2001; 349:31.
15. Qi D. Simulations of fluidization of cylindrical particles in a 3-d space. Journal of Multiphase Flow 2000; 27:107.
16. Qi D. Lattice Boltzmann simulations on fluidization of rectangular particles. Journal of Multiphase Flow 2000; 26:421.
17. Zhang J, Fan LS, Zhu C, Pfeffer R, Qi D. Dynamic behavior of collision of elastic spheres in viscous fluids. Journal of Powder Technology 1999; 106:98.
18. Qi D. Lattice Boltzmann simulations of particles in non-zero Reynolds number flows. Journal of Fluid Mechanics 1999; 385:41.
19. Aidun CK, Lu Y, Ding E. Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. Journal of Fluid Mechanics 1998; 373:287.
20. Feng Z, Michaelides E. The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems. Journal of Computational Physics 2004; 195:602.
21. Feng Z, Michaelides E. Proteus: a direct forcing method in the simulations of particulate flows. Journal of Computational Physics 2005; 202:20.
22. Qian Y, d'Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhysics Letters 1992; 17:479.
23. Chen S, Doolen GD. Lattice Boltzmann method for fluid flows. Annual Review of Fluid Mechanics 1998; 30:329.
24. Chen H, Chen S, Matthaeus WH. Lattice Boltzmann method for fluid flows. Physical Review A 1992; 45:R5339.
25. Gunstensen AK, Rothman DH. A Galilean-invariant immiscible lattic gas. Physica D 1991; 47:53.
26. McNamara G, Zanetti G. Use of the Boltzmann equation to simulate lattice-gas automata. Physical Review Letters 1988; 61:2332.
27. Bhatnagar PL, Groos EP, Krook M. Physical Review 1954; 94:511-525.
28. Ladd AJC. Numerical simulations of particle suspensions via a discretised Boltzmann equation. Part I. Theoretical foundation. Journal of Fluid Mechanics 1994; 271:285.
29. Allen MP, Tildesley DJ. Computer Simulation of Liquids. Oxford University Press: Oxford, 1989.
30. Ryckaert J, Ciccott G, Berendson HJC. Integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes. Journal of Computational Physics 1977; 23:327.
31. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in Fortran the Art of Scientific Computing. Cambridge University Press: Cambridge, MA, 1992.
32. Jeffrey GB. The motion of ellipsoidal particles immersed in a viscous fluid. Proceedings of the Royal Society of London, Series A 1922; 102:161.
33. Cox RG. The motion of long slender bodies in a viscous fluid, part 2 shear flow. Journal of Fluid Mechanics 1971; 45:625.
34. Kossack CA, Acrivos A. Steady simple flow past a circular cylinder at moderate Reynolds numbers: a numerical solution. Journal of Fluid Mechanics 1974; 66:343.
35. Poe GG, Acrivos A. Closed-streamline flows past rotating single cylinders and spheres: inertia effect. Journal of Fluid Mechanics 1975; 72:605.
36. Ding E, Aidun CK. The dynamics and scaling law for particles suspended in shear flow with inertia. Journal of Fluid Mechanics 2000; 423:317.
37. Zettner CM, Yoda M. Moderate-aspect-ratio elliptical cylinders in simple shear with inertia. Journal of Fluid Mechanics 2001; 442:241.