Particle motion between parallel walls: Hydrodynamics and simulation

Physics of Fluids

Volumn 22, Issue 10, 2010, Pages

  Swan, James W ^a   Brady, John F ^a  

^a California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HOLE MOBILITY; INVERSE PROBLEMS; REYNOLDS NUMBER; TENSORS; VELOCITY;

CONFINED GEOMETRIES; DILUTE SUSPENSIONS; LOW REYNOLDS NUMBER; NEWTONIAN VISCOSITY; PERIODIC SIMULATION; ROTATIONAL VELOCITY; SPHERICAL PARTICLE; STOKESIAN DYNAMICS SIMULATION;

SUSPENSIONS (FLUIDS);

EID: 79251579679     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3487748     Document Type: Article

References (36)

1. Leighton D. Acrivos A. Measurement of shear-induced self-diffusion in concentrated suspensions of spheres. J. Fluid Mech. 1987, 177:109. JFLSA7, 0022-1120, 10.1017/S0022112087000880, and
2. Squires T. Quake S. Microfluidics: Fluid physics at the nanoliter scale. Rev. Mod. Phys. 2005, 77:977. RMPHAT, 0034-6861, 10.1103/RevModPhys.77.977, and
3. Crocker J.C. Grier D.G. When like charges attract: The effects of geometrical confinement of long-range colloidal interactions. Phys. Rev. Lett. 1996, 77:1897. PRLTAO, 0031-9007, 10.1103/PhysRevLett.77.1897, and
4. Swan J.W. Brady J.F. Simulation of hydrodynamically interacting particles near a no-slip boundary. Phys. Fluids 2007, 19:113306. PHFLE6, 1070-6631, 10.1063/1.2803837, and
5. Velev O.D. Bhatt K.H. On-chip micromanipulation and assembly of colloidal particles by electric fields. Soft Matter 2006, 2:738. SMOABF, 1744-683X, 10.1039/b605052b, and
6. Verpoorte E. Microfluidic chips for clinical and forensic analysis. Electrophoresis 2002, 23:677. ELCTDN, 0173-0835, 10.1002/1522-2683(200203)23:5<677::AID-ELPS677>3.0.CO;2-8
7. Sia S.K. Whitesides G.M. Microfluidic devices fabricated in poly(dimethylsiloxane) for biological studies. Electrophoresis 2003, 24:3563. ELCTDN, 0173-0835, 10.1002/elps.200305584, and
8. Astumian R.D. Hänggi P. Brownian motors. Phys. Today 2002, 55(11):33. PHTOAD, 0031-9228, 10.1063/1.1535005, and, , .
9. Gopinathan A. Grier D.G. Statistically locked-in transport through periodic potential landscapes. Phys. Rev. Lett. 2004, 92:130602. PRLTAO, 0031-9007, 10.1103/PhysRevLett.92.130602, and
10. MacDonald M.P. Spalding G.C. Dholakia K. Microfluidic sorting in an optical lattice. Nature (London) 2003, 426:421. NATUAS, 0028-0836, 10.1038/nature02144, and
11. Faxen H. Faxen H. Ark. Mat., Astron. Fys. 1921, 17:1. AMAFAX, 0365-4133, Ph.D. dissertation, Uppsala University, .
12. Happel J. Brenner H. Low Reynolds Number Hydrodynamics 1986, and,, 2nd ed. (Prentice-Hall, Englewood Cliffs, NJ, ).
13. Oseen C.W. Neuere Methoden und Ergebnisse in der Hydrodynamik. 1928, Ph.D. dissertation, Akademische Verlagsgesellschaft, .
14. Blake J.R. Chwang A.T. Fundamental singularities of viscous flow. J. Eng. Math. 1974, 8:23. JLEMAU, 0022-0833, 10.1007/BF02353701, and
15. Liron N. Mochon S. Stokes flow for a Stokeslet between two parallel flat plates. J. Eng. Math. 1976, 10:287. JLEMAU, 0022-0833, 10.1007/BF01535565, and
16. Durlofsky L.J. Brady J.F. Dynamic simulation of bounded suspensions of hydrodynamically interaction particles. J. Fluid Mech. 1989, 200:39. JFLSA7, 0022-1120, 10.1017/S0022112089000558, and
17. Nott P.R. Brady J.F. Pressure-driven flow of suspensions: Simulation and theory. J. Fluid Mech. 1994, 275:157. JFLSA7, 0022-1120, 10.1017/S0022112094002326, and
18. Singh A. Nott P.R. Normal stresses and microstructure in bounded sheared suspensions via Stokesian dynamics simulations. J. Fluid Mech. 2000, 412:279. JFLSA7, 0022-1120, 10.1017/S0022112000008375, and
19. Cichocki B. Jones R.B. Kutteh R. Wajnryb E. Friction and mobility for colloidal spheres in Stokes flow near a boundary: The multipole method and applications. J. Chem. Phys. 2000, 112:2548. JCPSA6, 0021-9606, 10.1063/1.480894, and
20. Bhattacharya S. Blawzdziewicz J. Image system for Stokes-flow singularity between two parallel planar walls. J. Math. Phys. 2002, 43:5720. JMAPAQ, 0022-2488, 10.1063/1.1508812, and
21. Jones R.B. Spherical particle in Poiseuille flow between planar walls. J. Chem. Phys. 2004, 121:483. JCPSA6, 0021-9606, 10.1063/1.1738637
22. Ganatos P. Weinbaum S. Pfeffer R. A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 1. Perpendicular motion. J. Fluid Mech. 1980, 99:739. JFLSA7, 0022-1120, 10.1017/S0022112080000870, and
23. Staben M.E. Zinchenko A.Z. Davis R.H. Motion of a particle between two parallel plane walls in low-Reynolds-number Poiseuille flow. Phys. Fluids 2003, 15:1711. PHFLE6, 1070-6631, 10.1063/1.1568341, and
24. Dufresne E.R. Altman D. Grier D.G. Brownian dynamics of a sphere between parallel walls. Europhys. Lett. 2001, 53:264. EULEEJ, 0295-5075, 10.1209/epl/i2001-00147-6, and
25. Kim S. Karrila S.J. Microhydrodynamics 1991, and,, 2nd ed. (Dover, Mineola, NY, ).
26. Durlofsky L.J. Brady J.F. Bossis G. Dynamic simulation of hydrodynamically interacting particles. J. Fluid Mech. 1987, 180:21. JFLSA7, 0022-1120, 10.1017/S002211208700171X, and
27. Bossis G. Meunier A. Sherwood J.D. Stokesian dynamics simulations of particle trajectories near a plane. Phys. Fluids A 1991, 3:1853. PFADEB, 0899-8213, 10.1063/1.857915, and
28. Phung T.N. Brady J.F. Bossis G. Stokesian dynamics simulations of Brownian suspensions. J. Fluid Mech. 1996, 313:181. JFLSA7, 0022-1120, 10.1017/S0022112096002170, and
29. Batchelor G.K. Brownian diffusion of particles with hydrodynamic interaction. J. Fluid Mech. 1976, 74:1. JFLSA7, 0022-1120, 10.1017/S0022112076001663
30. Ermak D.L. McCammon J.D. Brownian dynamics with hydrodynamic interactions. J. Chem. Phys. 1978, 69:1352. JCPSA6, 0021-9606, 10.1063/1.436761, and
31. Guth E. Simha R. Untersuchungen über die Viskosität von Suspensionen und Lösungen. 3. Über die Viskosität von Kugelsuspensionen. Colloid Polym. Sci. 1936, 74:266. CPMSB6, 0303-402X, 10.1007/BF01428643, and
32. Zurita-Gotor M. Blawzdziewicz J. Wajnryb E. Motion of a rod-like particle between parallel walls with application to suspension rheology. J. Rheol. 2007, 51:71. JORHD2, 0148-6055, 10.1122/1.2399084, and
33. Beenakker C.W. J. Ewald sum of the Rotne-Prager tensor. J. Chem. Phys. 1986, 85:1581. JCPSA6, 0021-9606, 10.1063/1.451199
34. Liron N. Shahr R. Stokes flow due to a Stokeslet in a pipe. J. Fluid Mech. 1978, 86:727. JFLSA7, 0022-1120, 10.1017/S0022112078001366, and
35. Maul C. Kim S. Image of a point force in a spherical container and its connection to the Lorentz reflection formula. J. Eng. Math. 1996, 30:119. JLEMAU, 0022-0833, 10.1007/BF00118826, and
36. 10-3 apart.