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

Kaare Hartvig Jensen, Andre X. C. N. Valente, Howard A. Stone

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We examine the fluid mechanics of viscous flow through filters consisting of perforated thin plates. We classify the effects that contribute to the hydraulic resistance of the filter. Classical analyses assume a single pore size and account only for filter thickness. We extend these results to obtain an analytical formula for the pressure drop across the microfilter versus the flow rate that accounts for the non-uniform distribution of pore sizes, the hydrodynamic interactions between the pores given their layout pattern, and wall slip. Further, we discuss inertial effects and their order of scaling. (C) 2014 AIP Publishing LLC.
Original languageEnglish
Article number052004
JournalPhysics of Fluids
Volume26
Issue number5
Number of pages13
ISSN1070-6631
DOIs
Publication statusPublished - 2014

Keywords

  • MECHANICS
  • PHYSICS,
  • STOKES-FLOW
  • ORIFICES
  • TUBES
  • VISCOUS flow

Cite this

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title = "Flow rate through microfilters: Influence of the pore size distribution, hydrodynamic interactions, wall slip, and inertia",
abstract = "We examine the fluid mechanics of viscous flow through filters consisting of perforated thin plates. We classify the effects that contribute to the hydraulic resistance of the filter. Classical analyses assume a single pore size and account only for filter thickness. We extend these results to obtain an analytical formula for the pressure drop across the microfilter versus the flow rate that accounts for the non-uniform distribution of pore sizes, the hydrodynamic interactions between the pores given their layout pattern, and wall slip. Further, we discuss inertial effects and their order of scaling. (C) 2014 AIP Publishing LLC.",
keywords = "MECHANICS, PHYSICS,, STOKES-FLOW, ORIFICES, TUBES, VISCOUS flow",
author = "Jensen, {Kaare Hartvig} and Valente, {Andre X. C. N.} and Stone, {Howard A.}",
year = "2014",
doi = "10.1063/1.4876937",
language = "English",
volume = "26",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics",
number = "5",

}

Flow rate through microfilters: Influence of the pore size distribution, hydrodynamic interactions, wall slip, and inertia. / Jensen, Kaare Hartvig; Valente, Andre X. C. N.; Stone, Howard A.

In: Physics of Fluids, Vol. 26, No. 5, 052004, 2014.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Flow rate through microfilters: Influence of the pore size distribution, hydrodynamic interactions, wall slip, and inertia

AU - Jensen, Kaare Hartvig

AU - Valente, Andre X. C. N.

AU - Stone, Howard A.

PY - 2014

Y1 - 2014

N2 - We examine the fluid mechanics of viscous flow through filters consisting of perforated thin plates. We classify the effects that contribute to the hydraulic resistance of the filter. Classical analyses assume a single pore size and account only for filter thickness. We extend these results to obtain an analytical formula for the pressure drop across the microfilter versus the flow rate that accounts for the non-uniform distribution of pore sizes, the hydrodynamic interactions between the pores given their layout pattern, and wall slip. Further, we discuss inertial effects and their order of scaling. (C) 2014 AIP Publishing LLC.

AB - We examine the fluid mechanics of viscous flow through filters consisting of perforated thin plates. We classify the effects that contribute to the hydraulic resistance of the filter. Classical analyses assume a single pore size and account only for filter thickness. We extend these results to obtain an analytical formula for the pressure drop across the microfilter versus the flow rate that accounts for the non-uniform distribution of pore sizes, the hydrodynamic interactions between the pores given their layout pattern, and wall slip. Further, we discuss inertial effects and their order of scaling. (C) 2014 AIP Publishing LLC.

KW - MECHANICS

KW - PHYSICS,

KW - STOKES-FLOW

KW - ORIFICES

KW - TUBES

KW - VISCOUS flow

U2 - 10.1063/1.4876937

DO - 10.1063/1.4876937

M3 - Journal article

VL - 26

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 5

M1 - 052004

ER -