Radial distribution and axial dispersion of suspended particles inside a narrow cylinder due to mildly inertial flow

Physics of Fluids

Volumn 25, Issue 3, 2013, Pages

  Bhattacharya, S ^a   Gurung, D K ^a   Navardi, S ^a  

^a Texas Tech University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; DISPERSIONS; PARTICLE SIZE;

AXIAL DISPERSIONS; COMBINED EFFECT; INERTIAL FLOW; PARTICLE SIZE RATIO; PHYSICAL CONDITIONS; RADIAL DISTRIBUTIONS; SUSPENDED PARTICLES; TAYLOR DISPERSION;

PROBABILITY DISTRIBUTIONS;

EID: 84875872490     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4791794     Document Type: Article

References (21)

1. Segre G. Silberberg A. Behaviour of macroscopic rigid spheres in Poiseuille flow. Part 2. J. Fluid Mech. 1962, 14:136-157. 10.1017/S0022112062001111
2. Repetti R.V. Leonard E.F. Segre-Silberberg annulus formation: A possible explanation. Nature (London) 1964, 203:1346-1348. 10.1038/2031346a0
3. Matas J.P. Morris J.F. Guazzelli E. Inertial migration of rigid spherical particles in Poiseuille flow. J. Fluid Mech. 2004, 515:171-195. 10.1017/S0022112004000254
4. Marcos. Fu H.C. Power T.R. Stocker R. Separation of microscale chiral objects by flow. Phys. Rev. Lett. 2009, 102:158103. 10.1103/PhysRevLett.102.158103
5. Li Z. Drazer G. Separation of suspended particles by arrays of obstacles in microfluidic devices. Phys. Rev. Lett. 2007, 98:050602. 10.1103/PhysRevLett.98.050602
6. Minc N. Viovy J.L. Dorfman K.D. Non-Markovian transport of DNA in microfluidic post array. Phys. Rev. Lett. 2005, 94:198105. 10.1103/PhysRevLett.94.198105
7. Wang X. Veerappan V. Cheng C. Jiang X. Allen R.D. Dasgupta P.K. Liu S. Free solution hydrodynamic separation of DNA fragments from 75 to 106000 base pairs in a single run. J. Am. Chem. Soc. 2010, 132:40-41. 10.1021/ja909233n
8. Saffman P.G. The lift on a small sphere in a slow shear flow. J. Fluid Mech. 1965, 22:385. 10.1017/S0022112065000824
9. Ho B.P. Leal L.G. Inertial migration of rigid spheres in two-dimensional unidirectional flows. J. Fluid Mech. 1974, 65:365-400. 10.1017/S0022112074001431
10. Schonberg J.A. Hinch E.J. Inertial migration of a sphere in Poiseuille flow. J. Fluid Mech. 1989, 203:517-524. 10.1017/S0022112089001564
11. Bhattacharya S. Mishra C. Bhattacharya S. Analysis of general creeping motion of a sphere inside a cylinder. J. Fluid Mech. 2010, 642:295-328. 10.1017/S0022112009991789
12. Navardi S. Bhattacharya S. Axial pressure-difference between far-fields across a sphere in viscous flow bounded by a cylinder. Phys. Fluids 2010, 22:103305. 10.1063/1.3489350
13. Navardi S. Bhattacharya S. Effect of confining conduit on effective viscosity of dilute colloidal suspension. J. Chem. Phys. 2010, 132:114114. 10.1063/1.3315867
14. Taylor G.I. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. London, Ser. A 1953, 219:186-203. 10.1098/rspa.1953.0139
15. Aris R. On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. London, Ser. A 1956, 235:67-77. 10.1098/rspa.1956.0065
16. Frankel I. Brenner H. On the foundations of generalized Taylor dispersion theory. J. Fluid Mech. 1989, 204:97-119. 10.1017/S0022112089001679
17. Bhattacharya S. Gurung D. Navardi S. Radial lift on a suspended finite sized sphere due to fluid inertia for low Reynolds number flow through a cylinder. J. Fluid Mech (in press).
18. DiCarlo D. Edd J.F. Humphry K.J. Stone H.A. Toner M. Particle segregation and dynamics in confined flows. Phys. Rev. Lett. 2009, 102:094503. 10.1103/PhysRevLett.102.094503
19. Brenner H. Gaydos L.J. The constrained Brownian movement of spherical particles in cylindrical pores of comparable radius. J. Colloid Interface Sci. 1977, 58:312. 10.1016/0021-9797(77)90147-3
20. Bhattacharya S. Unsteady hydrodynamic effect of rotation on steady rigid body motion. J. Fluid Mech. 2005, 538:291-308. 10.1017/S002211200500532X
21. Bhattacharya S. History force on an asymmetrically rotating body in Poiseuille flow inducing particle-migration across a slit-pore. Phys. Fluids 2008, 20:093301. 10.1063/1.2974827