Flow rate through microfilters: Influence of the pore size distribution, hydrodynamic interactions, wall slip, and inertia

Physics of Fluids

Volumn 26, Issue 5, 2014, Pages

  Jensen, Kaare H ^a,b   Valente, Andŕe X C N ^c,d,e   Stone, Howard A ^f  

^a HARVARD UNIVERSITY   (United States)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c Biocant Biotechnology Innovation Center   (Portugal)

^d UNIVERSITY OF COIMBRA   (Portugal)

^e KAZAN FEDERAL UNIVERSITY   (Russian Federation)

^f Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID MECHANICS; HYDRODYNAMICS; MICROFILTRATION;

ANALYTICAL FORMULAS; FLOW THROUGH FILTER; HYDRAULIC RESISTANCES; HYDRODYNAMIC INTERACTION; INERTIAL EFFECT; LAYOUT PATTERNS; MICRO FILTERS; NON-UNIFORM DISTRIBUTION;

PORE SIZE;

EID: 84905259472     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4876937     Document Type: Article

References (31)

1. L. A. Spielman, "Particle capture from low-speed laminar flows," Annu. Rev. Fluid Mech. 9, 297-319 (1977).
2. H. Wyss, D. Blair, J. Morris, H. A. Stone, and D. Weitz, "Mechanism for clogging of microchannels," Phys. Rev. E 74, 061402 (2006).
3. J. Lin, D. Bourrier, M. Dilhan, and P. Duru, "Particle deposition onto a microsieve," Phys. Fluids 21, 073301 (2009).
4. M. T. Tyree, M. H. Zimmermann, and M. H. Zimmermann, Xylem Structure and the Ascent of Sap (Springer, New York, 2002).
5. K. H. Jensen, D. L. Mullendore, N. M. Holbrook, T. Bohr, M. Knoblauch, and H. Bruus, "Modeling the hydrodynamics of phloem sieve plates," Front. Plant Sci. 3, 151 (2012).
6. S. Gravelle, L. Joly, F. Detcheverry, C. Ybert, C. Cottin-Bizonne, and L. Bocquet, "Optimizing water permeability through the hourglass shape of aquaporins," PNAS 110, 16367-16372 (2013).
7. X. Yang, J. M. Yang, Y.-C. Tai, and C.-M. Ho, "Micromachined membrane particle filters," Sens. Actuators 73, 184-191 (1999).
8. D. J. Tritton, Physical Fluid Dynamics, 2nd ed. (Oxford University Press, New York, 1988).
9. I. Ahmed and A. Beskok, "Rarefaction, compressibility, and viscous heating in gas microfilters," J. Thermophys. Heat Transfer 16, 161-170 (2002).
10. H. Y. Yang, Z. J. Han, S. F. Yu, K. L. Pey, K. Ostrikov, and R. Karnik, "Carbon nanotube membranes with ultrahigh specific adsorption capacity for water desalination and purification," Nat. Commun. 4, 2220 (2013).
11. D. L. Mullendore, C. W. Windt, H. Van As, and M. Knoblauch, "Sieve tube geometry in relation to phloem flow," Plant Cell 22, 579-593 (2010).
12. M. M. Couette, "Etudes sur le frottement des liquides," Ann. Chim. Phys. 21, 433-510 (1890).
13. R. A. Sampson, "On Stokes's current function," Philos. Trans. R. Soc. London, Ser. A 182, 449-518 (1891).
14. R. Roscoe, "The flow of viscous fluids round plane obstacles," Philos. Mag. 40, 338-351 (1949).
15. H. L. Weissberg, "End correction for slow viscous flow through long tubes," Phys. Fluids 5, 1033 (1962).
16. Z. Dagan, S. Weinbaum, and R. Pfeffer, "An infinite-series solution for the creeping motion through an orifice of finite length," J. Fluid Mech. 115, 505-523 (1982).
17. H. Hasimoto, "On the flow of a viscous fluid past a thin screen at small Reynolds numbers," J. Phys. Soc. Jpn. 13, 633-639 (1958).
18. K.-K. Tio and S. S. Sadhal, "Boundary conditions for Stokes flows near a porous membrane," Appl. Sci. Res. 52, 1-20 (1994).
19. C. Y. Wang, "Stokes flow through a thin screen with patterned holes," AIChE J. 40, 419-423 (1994).
20. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Springer, Hingham, MA, USA, 1983).
21. V. K. Rohatgi, An Introduction to Probability Theory and Mathematical Statistics (Wiley, New York, 1976).
22. S. A. Schaaf and P. L. Chambre, Flow of Rarefied Gases (Princeton University Press, 1961).
23. E. Lauga and H. A. Stone, "Effective slip in pressure-driven Stokes flow," J. Fluid Mech. 489, 55-77 (2003).
24. J. C. Maxwell, "On stresses in rarified gases arising from inequalities of temperature," Philos. Trans. R. Soc. London 170, 231-256 (1879).
25. A. B. Basset, A Treatise on Hydrodynamics with Numerous Examples (Dover, New York, 1961).
26. A. K. Sreekanth, "Slip flow through long circular tubes," in Rarefied Gas Dynamics, edited by L. Trilling and H. Y. Wachman (Academic Press, New York, 1968), pp. 667-680.
27. F. C. Johansen, "Flow through pipe orifices at low Reynolds numbers," Proc. R. Soc. A 126, 231-245 (1930).
28. O. G. Tietjens and L. Prandtl, Applied Hydro- and Aeromechanics (Dover, New York, 1957).
29. W. N. Bond, "Viscosity determination by means of orifices and short tubes," Proc. Phys. Soc. London 34, 139 (1921).
30. S. Goldstein, Modern Developments in Fluid Dynamics (Dover, New York, 1965).
31. L. G. Leal, Laminar Flow and Convective Transport Processes (Butterworth-Heinemann, Boston, 1992).