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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Vortical sources on the walls of rotating containe
rs: a model for oceanic outflows - Ted Johnson (Un
iversity College London)
DTSTART;TZID=Europe/London:20191212T133000
DTEND;TZID=Europe/London:20191212T140000
UID:TALK135613AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135613
DESCRIPTION:Fluid of uniform vorticity is expelled from a line
source against a wall. An exact analytical soluti
on is obtained for the nonlinear problem determini
ng the final steady state. Sufficiently close to t
he source\, the flow is irrotational and isotropic
\, turning on the vortical scale $\\sqrt{Q/\\omega
}$ (for area flux $Q$ and vorticity $\\omega$) to
travel along the wall to the right (for $\\omega&g
t\;0$). The flow is linearly stable with perturbat
ions propagating unattenuated along the interface
between vortical and irrotational fluid. Fully non
linear numerical integrations of the time-dependen
t equations of motion show that flow started from
rest does indeed closely approach the steady state
. Superposing an opposing dipole at the origin ch
anges the momentum flux of the flow and leads to t
he growth of a bulge in the flow near the origin\,
a phenomenon seen in many rotating outflow experi
ments. When density variations are allowed the gov
erning equation is no longer Laplace'\;s equati
on but solutions can be obtained through a long-wa
ve theory.

*Co-authors: \;**Sean
Jamshidi (UCL)\, Robb McDonald \;**(UCL)
*

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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