AustralieFrV1, PascalFrancis, Curation, bibRecord, 005399

Bending of elastic fibres in viscous flows: the influence of confinement

Identifieur interne : 005399 ( PascalFrancis/Curation ); précédent : 005398; suivant : 005400

Bending of elastic fibres in viscous flows: the influence of confinement

Auteurs : Jason S. Wexler [États-Unis, France] ; Philippe H. Trinh [États-Unis] ; Helene Berthet [France] ; Nawal Quennouz [France] ; Olivia Du Roure [France] ; Herbert E. Huppert [Royaume-Uni, Australie] ; Anke Linder [France] ; Howard A. Stone [États-Unis]

Source :

Journal of Fluid Mechanics [ 0022-1120 ] ; 2013.

RBID : Pascal:13-0178261

Descripteurs français

Pascal (Inist)
- Microfluidique, Interaction fluide structure, Ecoulement tridimensionnel, Fluide visqueux, Fibre, Déformation élastique, Cellule Hele Shaw, Conduite rectangulaire, Modélisation, Etude expérimentale, Flexion, Microstructure, Obstacle, 4785N, Microcanal.

English descriptors

KwdEn :
- Bending, Elastic deformation, Experimental study, Fibers, Fluid-structure interactions, Hele Shaw cell, Microchannel, Microfluidics, Microstructure, Modelling, Obstacle, Rectangular pipe, Three dimensional flow, Viscous fluids.

Abstract

We present a mathematical model and corresponding series of microfluidic experiments examining the flow of a viscous fluid past an elastic fibre in a three-dimensional channel. The fibre's axis lies perpendicular to the direction of flow and its base is clamped to one wall of the channel; the sidewalls of the channel are close to the fibre, confining the flow. Experiments show that there is a linear relationship between deflection and flow rate for highly confined fibres at low flow rates, which inspires an asymptotic treatment of the problem in this regime. The three-dimensional problem is reduced to a two-dimensional model, consisting of Hele-Shaw flow past a barrier, with boundary conditions at the barrier that allow for the effects of flexibility and three-dimensional leakage. The analysis yields insight into the competing effects of flexion and leakage, and an analytical solution is derived for the leading-order pressure field corresponding to a slit that partially blocks a two-dimensional channel. The predictions of our model show favourable agreement with experimental results, allowing measurement of the fibre's elasticity and the flow rate in the channel.

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A03		`1`		`@0 J. Fluid Mech.`
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A08	`01`	`1`	`ENG`	`@1 Bending of elastic fibres in viscous flows: the influence of confinement`
A11	`01`	`1`		`@1 WEXLER (Jason S.)`
A11	`02`	`1`		`@1 TRINH (Philippe H.)`
A11	`03`	`1`		`@1 BERTHET (Helene)`
A11	`04`	`1`		`@1 QUENNOUZ (Nawal)`
A11	`05`	`1`		`@1 DU ROURE (Olivia)`
A11	`06`	`1`		`@1 HUPPERT (Herbert E.)`
A11	`07`	`1`		`@1 LINDER (Anke)`
A11	`08`	`1`		`@1 STONE (Howard A.)`
A14	`01`			`@1 Department of Mechanical and Aerospace Engineering, Princeton University @2 Princeton, NJ 08544 @3 USA @Z 1 aut. @Z 8 aut.`
A14	`02`			`@1 Program in Applied and Computational Mathematics, Princeton University @2 Princeton, NJ 08544 @3 USA @Z 2 aut.`
A14	`03`			`@1 PMMH, ESPCI, CNRS UMR 7636, Université Pierre et Marie Curie, Université Paris Diderot, 10 rue Vauquelin @2 75005 Paris @3 FRA @Z 1 aut. @Z 3 aut. @Z 4 aut. @Z 5 aut. @Z 7 aut.`
A14	`04`			`@1 Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road @2 Cambridge CB3 0WA @3 GBR @Z 6 aut.`
A14	`05`			`@1 School of Mathematics, University of New South Wales @2 Kensington, NSW 2052 @3 AUS @Z 6 aut.`
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A21				`@1 2013`
A23	`01`			`@0 ENG`
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A44				`@0 0000 @1 © 2013 INIST-CNRS. All rights reserved.`
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A47	`01`	`1`		`@0 13-0178261`
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A64	`01`	`1`		`@0 Journal of Fluid Mechanics`
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C01	`01`		`ENG`	@0 We present a mathematical model and corresponding series of microfluidic experiments examining the flow of a viscous fluid past an elastic fibre in a three-dimensional channel. The fibre's axis lies perpendicular to the direction of flow and its base is clamped to one wall of the channel; the sidewalls of the channel are close to the fibre, confining the flow. Experiments show that there is a linear relationship between deflection and flow rate for highly confined fibres at low flow rates, which inspires an asymptotic treatment of the problem in this regime. The three-dimensional problem is reduced to a two-dimensional model, consisting of Hele-Shaw flow past a barrier, with boundary conditions at the barrier that allow for the effects of flexibility and three-dimensional leakage. The analysis yields insight into the competing effects of flexion and leakage, and an analytical solution is derived for the leading-order pressure field corresponding to a slit that partially blocks a two-dimensional channel. The predictions of our model show favourable agreement with experimental results, allowing measurement of the fibre's elasticity and the flow rate in the channel.
C02	`01`	`3`		`@0 001B40G85D`
C03	`01`	`3`	`FRE`	`@0 Microfluidique @5 02`
C03	`01`	`3`	`ENG`	`@0 Microfluidics @5 02`
C03	`02`	`3`	`FRE`	`@0 Interaction fluide structure @5 03`
C03	`02`	`3`	`ENG`	`@0 Fluid-structure interactions @5 03`
C03	`03`	`X`	`FRE`	`@0 Ecoulement tridimensionnel @5 04`
C03	`03`	`X`	`ENG`	`@0 Three dimensional flow @5 04`
C03	`03`	`X`	`SPA`	`@0 Flujo tridimensional @5 04`
C03	`04`	`3`	`FRE`	`@0 Fluide visqueux @5 06`
C03	`04`	`3`	`ENG`	`@0 Viscous fluids @5 06`
C03	`05`	`3`	`FRE`	`@0 Fibre @5 08`
C03	`05`	`3`	`ENG`	`@0 Fibers @5 08`
C03	`06`	`3`	`FRE`	`@0 Déformation élastique @5 09`
C03	`06`	`3`	`ENG`	`@0 Elastic deformation @5 09`
C03	`07`	`X`	`FRE`	`@0 Cellule Hele Shaw @5 10`
C03	`07`	`X`	`ENG`	`@0 Hele Shaw cell @5 10`
C03	`07`	`X`	`SPA`	`@0 Célula Hele Shaw @5 10`
C03	`08`	`X`	`FRE`	`@0 Conduite rectangulaire @5 11`
C03	`08`	`X`	`ENG`	`@0 Rectangular pipe @5 11`
C03	`08`	`X`	`SPA`	`@0 Conducto rectangular @5 11`
C03	`09`	`3`	`FRE`	`@0 Modélisation @5 15`
C03	`09`	`3`	`ENG`	`@0 Modelling @5 15`
C03	`10`	`3`	`FRE`	`@0 Etude expérimentale @5 16`
C03	`10`	`3`	`ENG`	`@0 Experimental study @5 16`
C03	`11`	`3`	`FRE`	`@0 Flexion @5 29`
C03	`11`	`3`	`ENG`	`@0 Bending @5 29`
C03	`12`	`3`	`FRE`	`@0 Microstructure @5 30`
C03	`12`	`3`	`ENG`	`@0 Microstructure @5 30`
C03	`13`	`X`	`FRE`	`@0 Obstacle @5 31`
C03	`13`	`X`	`ENG`	`@0 Obstacle @5 31`
C03	`13`	`X`	`SPA`	`@0 Obstáculo @5 31`
C03	`14`	`3`	`FRE`	`@0 4785N @4 INC @5 56`
C03	`15`	`3`	`FRE`	`@0 Microcanal @4 CD @5 96`
C03	`15`	`3`	`ENG`	`@0 Microchannel @4 CD @5 96`
N21				`@1 161`

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Le document en format XML

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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Bending</term>
<term>Elastic deformation</term>
<term>Experimental study</term>
<term>Fibers</term>
<term>Fluid-structure interactions</term>
<term>Hele Shaw cell</term>
<term>Microchannel</term>
<term>Microfluidics</term>
<term>Microstructure</term>
<term>Modelling</term>
<term>Obstacle</term>
<term>Rectangular pipe</term>
<term>Three dimensional flow</term>
<term>Viscous fluids</term>
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<term>Interaction fluide structure</term>
<term>Ecoulement tridimensionnel</term>
<term>Fluide visqueux</term>
<term>Fibre</term>
<term>Déformation élastique</term>
<term>Cellule Hele Shaw</term>
<term>Conduite rectangulaire</term>
<term>Modélisation</term>
<term>Etude expérimentale</term>
<term>Flexion</term>
<term>Microstructure</term>
<term>Obstacle</term>
<term>4785N</term>
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<front><div type="abstract" xml:lang="en">We present a mathematical model and corresponding series of microfluidic experiments examining the flow of a viscous fluid past an elastic fibre in a three-dimensional channel. The fibre's axis lies perpendicular to the direction of flow and its base is clamped to one wall of the channel; the sidewalls of the channel are close to the fibre, confining the flow. Experiments show that there is a linear relationship between deflection and flow rate for highly confined fibres at low flow rates, which inspires an asymptotic treatment of the problem in this regime. The three-dimensional problem is reduced to a two-dimensional model, consisting of Hele-Shaw flow past a barrier, with boundary conditions at the barrier that allow for the effects of flexibility and three-dimensional leakage. The analysis yields insight into the competing effects of flexion and leakage, and an analytical solution is derived for the leading-order pressure field corresponding to a slit that partially blocks a two-dimensional channel. The predictions of our model show favourable agreement with experimental results, allowing measurement of the fibre's elasticity and the flow rate in the channel.</div>
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<fA14 i1="02"><s1>Program in Applied and Computational Mathematics, Princeton University</s1>
<s2>Princeton, NJ 08544</s2>
<s3>USA</s3>
<sZ>2 aut.</sZ>
</fA14>
<fA14 i1="03"><s1>PMMH, ESPCI, CNRS UMR 7636, Université Pierre et Marie Curie, Université Paris Diderot, 10 rue Vauquelin</s1>
<s2>75005 Paris</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
<sZ>3 aut.</sZ>
<sZ>4 aut.</sZ>
<sZ>5 aut.</sZ>
<sZ>7 aut.</sZ>
</fA14>
<fA14 i1="04"><s1>Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road</s1>
<s2>Cambridge CB3 0WA</s2>
<s3>GBR</s3>
<sZ>6 aut.</sZ>
</fA14>
<fA14 i1="05"><s1>School of Mathematics, University of New South Wales</s1>
<s2>Kensington, NSW 2052</s2>
<s3>AUS</s3>
<sZ>6 aut.</sZ>
</fA14>
<fA20><s1>517-544</s1>
</fA20>
<fA21><s1>2013</s1>
</fA21>
<fA23 i1="01"><s0>ENG</s0>
</fA23>
<fA43 i1="01"><s1>INIST</s1>
<s2>5180</s2>
<s5>354000503761370190</s5>
</fA43>
<fA44><s0>0000</s0>
<s1>© 2013 INIST-CNRS. All rights reserved.</s1>
</fA44>
<fA45><s0>1 p.1/4</s0>
</fA45>
<fA47 i1="01" i2="1"><s0>13-0178261</s0>
</fA47>
<fA60><s1>P</s1>
</fA60>
<fA61><s0>A</s0>
</fA61>
<fA64 i1="01" i2="1"><s0>Journal of Fluid Mechanics</s0>
</fA64>
<fA66 i1="01"><s0>GBR</s0>
</fA66>
<fC01 i1="01" l="ENG"><s0>We present a mathematical model and corresponding series of microfluidic experiments examining the flow of a viscous fluid past an elastic fibre in a three-dimensional channel. The fibre's axis lies perpendicular to the direction of flow and its base is clamped to one wall of the channel; the sidewalls of the channel are close to the fibre, confining the flow. Experiments show that there is a linear relationship between deflection and flow rate for highly confined fibres at low flow rates, which inspires an asymptotic treatment of the problem in this regime. The three-dimensional problem is reduced to a two-dimensional model, consisting of Hele-Shaw flow past a barrier, with boundary conditions at the barrier that allow for the effects of flexibility and three-dimensional leakage. The analysis yields insight into the competing effects of flexion and leakage, and an analytical solution is derived for the leading-order pressure field corresponding to a slit that partially blocks a two-dimensional channel. The predictions of our model show favourable agreement with experimental results, allowing measurement of the fibre's elasticity and the flow rate in the channel.</s0>
</fC01>
<fC02 i1="01" i2="3"><s0>001B40G85D</s0>
</fC02>
<fC03 i1="01" i2="3" l="FRE"><s0>Microfluidique</s0>
<s5>02</s5>
</fC03>
<fC03 i1="01" i2="3" l="ENG"><s0>Microfluidics</s0>
<s5>02</s5>
</fC03>
<fC03 i1="02" i2="3" l="FRE"><s0>Interaction fluide structure</s0>
<s5>03</s5>
</fC03>
<fC03 i1="02" i2="3" l="ENG"><s0>Fluid-structure interactions</s0>
<s5>03</s5>
</fC03>
<fC03 i1="03" i2="X" l="FRE"><s0>Ecoulement tridimensionnel</s0>
<s5>04</s5>
</fC03>
<fC03 i1="03" i2="X" l="ENG"><s0>Three dimensional flow</s0>
<s5>04</s5>
</fC03>
<fC03 i1="03" i2="X" l="SPA"><s0>Flujo tridimensional</s0>
<s5>04</s5>
</fC03>
<fC03 i1="04" i2="3" l="FRE"><s0>Fluide visqueux</s0>
<s5>06</s5>
</fC03>
<fC03 i1="04" i2="3" l="ENG"><s0>Viscous fluids</s0>
<s5>06</s5>
</fC03>
<fC03 i1="05" i2="3" l="FRE"><s0>Fibre</s0>
<s5>08</s5>
</fC03>
<fC03 i1="05" i2="3" l="ENG"><s0>Fibers</s0>
<s5>08</s5>
</fC03>
<fC03 i1="06" i2="3" l="FRE"><s0>Déformation élastique</s0>
<s5>09</s5>
</fC03>
<fC03 i1="06" i2="3" l="ENG"><s0>Elastic deformation</s0>
<s5>09</s5>
</fC03>
<fC03 i1="07" i2="X" l="FRE"><s0>Cellule Hele Shaw</s0>
<s5>10</s5>
</fC03>
<fC03 i1="07" i2="X" l="ENG"><s0>Hele Shaw cell</s0>
<s5>10</s5>
</fC03>
<fC03 i1="07" i2="X" l="SPA"><s0>Célula Hele Shaw</s0>
<s5>10</s5>
</fC03>
<fC03 i1="08" i2="X" l="FRE"><s0>Conduite rectangulaire</s0>
<s5>11</s5>
</fC03>
<fC03 i1="08" i2="X" l="ENG"><s0>Rectangular pipe</s0>
<s5>11</s5>
</fC03>
<fC03 i1="08" i2="X" l="SPA"><s0>Conducto rectangular</s0>
<s5>11</s5>
</fC03>
<fC03 i1="09" i2="3" l="FRE"><s0>Modélisation</s0>
<s5>15</s5>
</fC03>
<fC03 i1="09" i2="3" l="ENG"><s0>Modelling</s0>
<s5>15</s5>
</fC03>
<fC03 i1="10" i2="3" l="FRE"><s0>Etude expérimentale</s0>
<s5>16</s5>
</fC03>
<fC03 i1="10" i2="3" l="ENG"><s0>Experimental study</s0>
<s5>16</s5>
</fC03>
<fC03 i1="11" i2="3" l="FRE"><s0>Flexion</s0>
<s5>29</s5>
</fC03>
<fC03 i1="11" i2="3" l="ENG"><s0>Bending</s0>
<s5>29</s5>
</fC03>
<fC03 i1="12" i2="3" l="FRE"><s0>Microstructure</s0>
<s5>30</s5>
</fC03>
<fC03 i1="12" i2="3" l="ENG"><s0>Microstructure</s0>
<s5>30</s5>
</fC03>
<fC03 i1="13" i2="X" l="FRE"><s0>Obstacle</s0>
<s5>31</s5>
</fC03>
<fC03 i1="13" i2="X" l="ENG"><s0>Obstacle</s0>
<s5>31</s5>
</fC03>
<fC03 i1="13" i2="X" l="SPA"><s0>Obstáculo</s0>
<s5>31</s5>
</fC03>
<fC03 i1="14" i2="3" l="FRE"><s0>4785N</s0>
<s4>INC</s4>
<s5>56</s5>
</fC03>
<fC03 i1="15" i2="3" l="FRE"><s0>Microcanal</s0>
<s4>CD</s4>
<s5>96</s5>
</fC03>
<fC03 i1="15" i2="3" l="ENG"><s0>Microchannel</s0>
<s4>CD</s4>
<s5>96</s5>
</fC03>
<fN21><s1>161</s1>
</fN21>
</pA>
</standard>
</inist>
</record>

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Bending of elastic fibres in viscous flows: the influence of confinement

Bending of elastic fibres in viscous flows: the influence of confinement

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