A drag correlation for a nonporous sphere steadily approaching an impermeable plane at finite Reynolds numbers

Sangjin Ryu, Paul Matsudaira

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A particle experiences resistance while moving in a viscous fluid and this drag force increases in the vicinity of no-slip surfaces due to the wall effect. For a nonporous solid spherical particle steadily approaching an impermeable plane, Brenner analytically obtained the wall effect correction factor for the small Reynolds number (Brenner, 1961). For finite Reynolds numbers Wu and Lee calculated the correction factor from their numerical simulation (Wu, 1998). Unifying the results of these previous studies, we propose a compact form of the wall effect correction factor that is valid for Reynolds numbers less than 40.

Original languageEnglish (US)
Pages (from-to)4913-4915
Number of pages3
JournalChemical Engineering Science
Volume65
Issue number16
DOIs
StatePublished - Aug 1 2010

Fingerprint

Drag
Reynolds number
Drag Force
Viscous Fluid
Slip
Valid
Numerical Simulation
Fluids
Computer simulation

Keywords

  • Fluid mechanics
  • Hydrodynamics
  • Laminar flow
  • Sedimentation
  • Wall effect

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Chemistry(all)
  • Applied Mathematics
  • Industrial and Manufacturing Engineering

Cite this

A drag correlation for a nonporous sphere steadily approaching an impermeable plane at finite Reynolds numbers. / Ryu, Sangjin; Matsudaira, Paul.

In: Chemical Engineering Science, Vol. 65, No. 16, 01.08.2010, p. 4913-4915.

Research output: Contribution to journalArticle

@article{a7132a09cfb942039aad24adfd24ff27,
title = "A drag correlation for a nonporous sphere steadily approaching an impermeable plane at finite Reynolds numbers",
abstract = "A particle experiences resistance while moving in a viscous fluid and this drag force increases in the vicinity of no-slip surfaces due to the wall effect. For a nonporous solid spherical particle steadily approaching an impermeable plane, Brenner analytically obtained the wall effect correction factor for the small Reynolds number (Brenner, 1961). For finite Reynolds numbers Wu and Lee calculated the correction factor from their numerical simulation (Wu, 1998). Unifying the results of these previous studies, we propose a compact form of the wall effect correction factor that is valid for Reynolds numbers less than 40.",
keywords = "Fluid mechanics, Hydrodynamics, Laminar flow, Sedimentation, Wall effect",
author = "Sangjin Ryu and Paul Matsudaira",
year = "2010",
month = "8",
day = "1",
doi = "10.1016/j.ces.2010.05.009",
language = "English (US)",
volume = "65",
pages = "4913--4915",
journal = "Chemical Engineering Science",
issn = "0009-2509",
publisher = "Elsevier BV",
number = "16",

}

TY - JOUR

T1 - A drag correlation for a nonporous sphere steadily approaching an impermeable plane at finite Reynolds numbers

AU - Ryu, Sangjin

AU - Matsudaira, Paul

PY - 2010/8/1

Y1 - 2010/8/1

N2 - A particle experiences resistance while moving in a viscous fluid and this drag force increases in the vicinity of no-slip surfaces due to the wall effect. For a nonporous solid spherical particle steadily approaching an impermeable plane, Brenner analytically obtained the wall effect correction factor for the small Reynolds number (Brenner, 1961). For finite Reynolds numbers Wu and Lee calculated the correction factor from their numerical simulation (Wu, 1998). Unifying the results of these previous studies, we propose a compact form of the wall effect correction factor that is valid for Reynolds numbers less than 40.

AB - A particle experiences resistance while moving in a viscous fluid and this drag force increases in the vicinity of no-slip surfaces due to the wall effect. For a nonporous solid spherical particle steadily approaching an impermeable plane, Brenner analytically obtained the wall effect correction factor for the small Reynolds number (Brenner, 1961). For finite Reynolds numbers Wu and Lee calculated the correction factor from their numerical simulation (Wu, 1998). Unifying the results of these previous studies, we propose a compact form of the wall effect correction factor that is valid for Reynolds numbers less than 40.

KW - Fluid mechanics

KW - Hydrodynamics

KW - Laminar flow

KW - Sedimentation

KW - Wall effect

UR - http://www.scopus.com/inward/record.url?scp=77954383142&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954383142&partnerID=8YFLogxK

U2 - 10.1016/j.ces.2010.05.009

DO - 10.1016/j.ces.2010.05.009

M3 - Article

VL - 65

SP - 4913

EP - 4915

JO - Chemical Engineering Science

JF - Chemical Engineering Science

SN - 0009-2509

IS - 16

ER -