Top

Published in:

2012 | OriginalPaper | Chapter

A Low-Reynolds-Number Treadmilling Swimmer Near a Semi-infinite Wall

Authors : Kiori Obuse, Jean-Luc Thiffeault

Published in: Natural Locomotion in Fluids and on Surfaces

Publisher: Springer New York

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

We investigate the behavior of a treadmilling microswimmer in a two-dimensional unbounded domain with a semi-infinite no-slip wall. The wall can also be regarded as a probe or pipette inserted into the flow. We solve the governing evolution equations in an analytical form and numerically calculate trajectories of the swimmer for several different initial positions and orientations. We then compute the probability that the treadmilling organism can escape the vicinity of the wall. We find that many trajectories in a ‘wedge’ around the wall are likely to escape. This suggests that inserting a probe or pipette in a suspension of organism may push away treadmilling swimmers.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

previous chapter Models of Low Reynolds Number Swimmers Inspired by Cell Blebbing

next chapter Cilia Induced Bending of Paramecium in Microchannels

See http://arXiv.org/abs/1104.0146 for color figures.

[1]

Avron JE, Kenneth O, Oakmin DH (2005) Pushmepullyou: an efficient micro-swimmer. New J Phys 7:234CrossRef

[2]

Berke AP, Turner L, Berg HC, Lauga E (2008) Hydrodynamic attraction of swimming microorganisms by surfaces. Phys Rev E 101:038102

[3]

Cosson J, Huitorel P, Gagnon C (2003) How spermatozoa come to be confined to surfaces. Cell Motil Cytoskel 54:56–63CrossRef

[4]

Crowdy DG, Or Y (2010) Two-dimensional point singularity model of a low-Reynolds-number swimmer near a wall. Phys Rev E 81:036313CrossRef

[5]

Crowdy DG, Samson O (2011) Hydrodynamic bound states of a low-Reynolds-number swimmer near a gap in a wall. J Fluid Mech 667:309–335MathSciNetMATHCrossRef

[6]

Drescher K, Leptos K, Tuval I, Ishikawa T, Pedley TJ, Goldstein RE (2009) Dancing volvox: hydrodynamic bound states of swimming algae. Phys Rev Lett 102:168101CrossRef

[7]

Hernandez-Ortiz JP, Dtolz CG, Graham MD (2005) Transport and collective dynamics in suspensions of confined swimming particles. Phys Rev Lett 95:204501CrossRef

[8]

Lauga E, DiLuzio WR, Whitesides GM, Stone HA (2006) Swimming in circles: motion of bacteria near solid boundaries. Biophys J 90:400–412CrossRef

[9]

Lauga E, Powers TR (2009) The hydrodynamics of swimming micro-organisms. Rep Prog Phys 72:096601MathSciNetCrossRef

[10]

Leshansky AM, Kenneth O, Gat O, Avron JE (2007) A frictionless microswimmer. New J Phys 9:145CrossRef

[11]

Najafi A, Golestanian R (2004) Simple swimmer at low Reynolds number: three linked spheres. Phys Rev E 69:062901CrossRef

[12]

Obuse K (2010) Trajectories of a low Reynolds number treadmilling organism near a half-infinite no-slip wall. In: Proceedings of the 2010 summer program in geophysical fluid dynamics, Woods Hole Oceanographic Institute, Woods Hole

[13]

Or Y, Murray RM (2009) Dynamics and stability of a class of low Reynolds number swimmers near a wall. Phys Rev E 79:045302CrossRef

[14]

Pedley TJ, Kessler JO (1992) Hydrodynamic phenomena in suspensions of swimming microorganisms. Annu Rev Fluid Mech 24:313–358MathSciNetCrossRef

[15]

Ramia M, Tullock DL, Phan-Thien N (1993) The role of hydrodynamics interaction in the locomotion of microorganism. Biophys J 65:755–778CrossRef

[16]

Rothschild AJ (1963) Non-random distribution of bull spermatozoa in a drop of sperm suspension. Nature 198:1221–1222CrossRef

[17]

Shapere A, Wilczek F (1989) Geometry of self-propulsion at low Reynolds numbers. J Fluid Mech 198:557–585MathSciNetMATHCrossRef

[18]

Winet H, Bernstein GS, Head J (1984) Observations on the response of human spermatozoa to gravity, boundaries and fluid shear. J Reprod Fert 70:511–523CrossRef

[19]

Zhang S, Or Y, Murray RM (2010) Experimental demonstration of the dynamics and stability of a low Reynolds number swimmer near a plane wall. In: Proceedings of american control conference, Baltimore, pp 4205–4210

Title: A Low-Reynolds-Number Treadmilling Swimmer Near a Semi-infinite Wall
Authors: Kiori Obuse
Jean-Luc Thiffeault
Publisher: Springer New York
Book: Natural Locomotion in Fluids and on Surfaces
Print ISBN: 978-1-4614-3996-7

Electronic ISBN: 978-1-4614-3997-4

Copyright Year: 2012
DOI: https://doi.org/10.1007/978-1-4614-3997-4_15

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Premium Partner