The effect of a concentration-dependent viscosity on particle transport in a channel flow with porous walls

James G. Herterich; Ian M. Griffiths; Dominic Vella; Robert W. Field

doi:10.1002/aic.14340

The effect of a concentration-dependent viscosity on particle transport in a channel flow with porous walls

James G. Herterich, Ian M. Griffiths, Dominic Vella, Robert W. Field

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12 Scopus citations

Abstract

The transport of a dilute suspension of particles through a channel with porous walls, accounting for the concentration dependence of the viscosity, is analyzed. In particular, we study two cases of fluid permeation through the porous channel walls: (1) at a constant flux and (2) dependent on the pressure drop across the wall. We also consider the effect of mixing the suspension first compared with point injection by considering inlet concentration distributions of different widths. We find that a pessimal inlet distribution width exists that maximizes the required hydrodynamic pressure for a constant fluid influx. The effect of an external hydrodynamic pressure, to compensate for the reduced transmembrane pressure difference due to osmotic pressure, is investigated. © 2014 American Institute of Chemical Engineers.

Original language	English (US)
Pages (from-to)	1891-1904
Number of pages	14
Journal	AIChE Journal
Volume	60
Issue number	5
DOIs	https://doi.org/10.1002/aic.14340
State	Published - Feb 2 2014
Externally published	Yes

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10.1002/aic.14340

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title = "The effect of a concentration-dependent viscosity on particle transport in a channel flow with porous walls",

abstract = "The transport of a dilute suspension of particles through a channel with porous walls, accounting for the concentration dependence of the viscosity, is analyzed. In particular, we study two cases of fluid permeation through the porous channel walls: (1) at a constant flux and (2) dependent on the pressure drop across the wall. We also consider the effect of mixing the suspension first compared with point injection by considering inlet concentration distributions of different widths. We find that a pessimal inlet distribution width exists that maximizes the required hydrodynamic pressure for a constant fluid influx. The effect of an external hydrodynamic pressure, to compensate for the reduced transmembrane pressure difference due to osmotic pressure, is investigated. {\textcopyright} 2014 American Institute of Chemical Engineers.",

author = "Herterich, {James G.} and Griffiths, {Ian M.} and Dominic Vella and Field, {Robert W.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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doi = "10.1002/aic.14340",

language = "English (US)",

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T1 - The effect of a concentration-dependent viscosity on particle transport in a channel flow with porous walls

AU - Herterich, James G.

AU - Griffiths, Ian M.

AU - Vella, Dominic

AU - Field, Robert W.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2014/2/2

Y1 - 2014/2/2

N2 - The transport of a dilute suspension of particles through a channel with porous walls, accounting for the concentration dependence of the viscosity, is analyzed. In particular, we study two cases of fluid permeation through the porous channel walls: (1) at a constant flux and (2) dependent on the pressure drop across the wall. We also consider the effect of mixing the suspension first compared with point injection by considering inlet concentration distributions of different widths. We find that a pessimal inlet distribution width exists that maximizes the required hydrodynamic pressure for a constant fluid influx. The effect of an external hydrodynamic pressure, to compensate for the reduced transmembrane pressure difference due to osmotic pressure, is investigated. © 2014 American Institute of Chemical Engineers.

AB - The transport of a dilute suspension of particles through a channel with porous walls, accounting for the concentration dependence of the viscosity, is analyzed. In particular, we study two cases of fluid permeation through the porous channel walls: (1) at a constant flux and (2) dependent on the pressure drop across the wall. We also consider the effect of mixing the suspension first compared with point injection by considering inlet concentration distributions of different widths. We find that a pessimal inlet distribution width exists that maximizes the required hydrodynamic pressure for a constant fluid influx. The effect of an external hydrodynamic pressure, to compensate for the reduced transmembrane pressure difference due to osmotic pressure, is investigated. © 2014 American Institute of Chemical Engineers.

UR - http://hdl.handle.net/10754/599896

UR - http://doi.wiley.com/10.1002/aic.14340

UR - http://www.scopus.com/inward/record.url?scp=84897962487&partnerID=8YFLogxK

U2 - 10.1002/aic.14340

DO - 10.1002/aic.14340

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SN - 0001-1541

VL - 60

SP - 1891

EP - 1904

JO - AIChE Journal

JF - AIChE Journal

IS - 5

ER -

The effect of a concentration-dependent viscosity on particle transport in a channel flow with porous walls

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