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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Swimming at low Reynolds number - Yeomans\, J (Uni
versity of Oxford)
DTSTART;TZID=Europe/London:20130801T150000
DTEND;TZID=Europe/London:20130801T163000
UID:TALK46476AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/46476
DESCRIPTION:I shall introduce the hydrodynamics that underlies
the way in which microorganisms\, such as bacteri
a and algae\, and fabricated microswimmers\, swim.
For such tiny entities the governing equations ar
e the Stokes equations\, the zero Reynolds number
limit of the Navier-Stokes equations. This implies
the well-known Scallop Theorem\, that swimming st
rokes must be non-invariant under time reversal to
allow a net motion. Moreover\, biological swimmer
s move autonomously\, free from any net external f
orce or torque. As a result the leading order term
in the multipole expansion of the Stokes equation
s vanishes and microswimmers generically have dipo
lar far flow fields. I shall introduce the multipo
le expansion and describe physical examples where
the dipolar nature of the bacterial flow field has
significant consequences\, the velocity statistic
s of a dilute bacterial suspension and tracer diff
usion in a swimmer suspension. \n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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