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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:On a question posed by G.I. Taylor. - Dr Harsha Hu
tridurga (DPMMS)
DTSTART;TZID=Europe/London:20141203T160000
DTEND;TZID=Europe/London:20141203T170000
UID:TALK55350AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/55350
DESCRIPTION:In this talk\, we shall look into a question raise
d by G.I. Taylor with regard to the study of the s
preading (usually referred to as 'Dispersion') of
dissolved solutes in a fluid medium. The interplay
between molecular diffusion and the variations in
fluid velocity were studied by G.I. Taylor. Neith
er a simple molecular diffusion nor a simple conve
ction can account for the effective mixing of solu
tes. The main question raised by Taylor was to fin
d an expression for the Dispersion tensor in terms
of the molecular diffusion and the convective fie
ld. We shall try to answer this question of Taylor
in case of heterogeneous flow fields and molecula
r diffusion. Our approach is via the theory of Hom
ogenization. We shall discuss a complete solution
to the question of Taylor when the convective fiel
d is purely periodic in space. We shall also prese
nt some recent calculations which give an expressi
on for the 'Taylor Dispersion' when the convective
field is locally periodic i.e.\, when the fluid v
elocity has macroscopic modulations. These results
are obtained via the study of integral curves ass
ociated with an ODE. We shall discuss a new notion
of convergence in moving coordinates which might
be helpful in the study of various problems in flu
id dynamics. We shall also try to discuss the diff
iculties that are present in giving a complete sol
ution to the original question raised by G.I. Tayl
or.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Eavan Gleeson
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