Active suspensions and their nonlinear models

David Saintillan; Michael J. Shelley

doi:10.1016/j.crhy.2013.04.001

Active suspensions and their nonlinear models

David Saintillan, Michael J. Shelley

Mathematics

Research output: Contribution to journal › Short survey › peer-review

Abstract

Active suspensions, such as suspensions of self-propelled microorganisms and related synthetic microswimmers, are known to undergo complex dynamics and pattern formation as a result of hydrodynamic interactions. In this review, we summarize recent efforts to model these systems using continuum kinetic theories. We first derive a basic kinetic model for a suspension of self-propelled rodlike particles and discuss its stability and nonlinear dynamics. We then present extensions of this model to analyze the effective rheology of active suspensions in external flows, the effect of steric interactions in concentrated systems, and the dynamics of chemotactically responsive suspensions in chemical fields.

Original language	English (US)
Pages (from-to)	497-517
Number of pages	21
Journal	Comptes Rendus Physique
Volume	14
Issue number	6
DOIs	https://doi.org/10.1016/j.crhy.2013.04.001
State	Published - Jun 2013

Keywords

Active suspension
Hydrodynamic interactions
Instability
Kinetic theory
Swimming microorganisms

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.crhy.2013.04.001

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@article{59e00cd067854f9ba64a3db3e93afe4d,

title = "Active suspensions and their nonlinear models",

abstract = "Active suspensions, such as suspensions of self-propelled microorganisms and related synthetic microswimmers, are known to undergo complex dynamics and pattern formation as a result of hydrodynamic interactions. In this review, we summarize recent efforts to model these systems using continuum kinetic theories. We first derive a basic kinetic model for a suspension of self-propelled rodlike particles and discuss its stability and nonlinear dynamics. We then present extensions of this model to analyze the effective rheology of active suspensions in external flows, the effect of steric interactions in concentrated systems, and the dynamics of chemotactically responsive suspensions in chemical fields.",

keywords = "Active suspension, Hydrodynamic interactions, Instability, Kinetic theory, Swimming microorganisms",

author = "David Saintillan and Shelley, {Michael J.}",

note = "Funding Information: The authors would like to thank Enkeleida Lushi (Imperial College) for illuminating conversations on sterically induced stresses, and Denis Bartolo ({\'E}cole normale sup{\'e}rieure de Lyon) for conversations on closure approximations. Funding from the NSF grants DMS-0930930 and DMS-0930931, from the NYU MRSEC grant DMR-0820341, and from the DOE grant DE-FG02-88ER25053 is gratefully acknowledged.",

year = "2013",

month = jun,

doi = "10.1016/j.crhy.2013.04.001",

language = "English (US)",

volume = "14",

pages = "497--517",

journal = "Comptes Rendus Physique",

issn = "1631-0705",

publisher = "Elsevier Masson",

number = "6",

}

TY - JOUR

T1 - Active suspensions and their nonlinear models

AU - Saintillan, David

AU - Shelley, Michael J.

N1 - Funding Information: The authors would like to thank Enkeleida Lushi (Imperial College) for illuminating conversations on sterically induced stresses, and Denis Bartolo (École normale supérieure de Lyon) for conversations on closure approximations. Funding from the NSF grants DMS-0930930 and DMS-0930931, from the NYU MRSEC grant DMR-0820341, and from the DOE grant DE-FG02-88ER25053 is gratefully acknowledged.

PY - 2013/6

Y1 - 2013/6

N2 - Active suspensions, such as suspensions of self-propelled microorganisms and related synthetic microswimmers, are known to undergo complex dynamics and pattern formation as a result of hydrodynamic interactions. In this review, we summarize recent efforts to model these systems using continuum kinetic theories. We first derive a basic kinetic model for a suspension of self-propelled rodlike particles and discuss its stability and nonlinear dynamics. We then present extensions of this model to analyze the effective rheology of active suspensions in external flows, the effect of steric interactions in concentrated systems, and the dynamics of chemotactically responsive suspensions in chemical fields.

AB - Active suspensions, such as suspensions of self-propelled microorganisms and related synthetic microswimmers, are known to undergo complex dynamics and pattern formation as a result of hydrodynamic interactions. In this review, we summarize recent efforts to model these systems using continuum kinetic theories. We first derive a basic kinetic model for a suspension of self-propelled rodlike particles and discuss its stability and nonlinear dynamics. We then present extensions of this model to analyze the effective rheology of active suspensions in external flows, the effect of steric interactions in concentrated systems, and the dynamics of chemotactically responsive suspensions in chemical fields.

KW - Active suspension

KW - Hydrodynamic interactions

KW - Instability

KW - Kinetic theory

KW - Swimming microorganisms

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U2 - 10.1016/j.crhy.2013.04.001

DO - 10.1016/j.crhy.2013.04.001

M3 - Short survey

AN - SCOPUS:84880633020

VL - 14

SP - 497

EP - 517

JO - Comptes Rendus Physique

JF - Comptes Rendus Physique

SN - 1631-0705

IS - 6

ER -

Active suspensions and their nonlinear models

Abstract

Keywords

ASJC Scopus subject areas

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