BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Vortical sources on the walls of rotating containers: a model for 
 oceanic outflows - Ted Johnson (University College London)
DTSTART:20191212T133000Z
DTEND:20191212T140000Z
UID:TALK135613@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Fluid of uniform vorticity is expelled from a line source agai
 nst a wall. An exact analytical solution is obtained for the nonlinear pro
 blem determining the final steady state. Sufficiently close to the source\
 , the flow is irrotational and isotropic\, turning on the vortical scale $
 \\sqrt{Q/\\omega}$ (for area flux $Q$ and vorticity $\\omega$) to travel a
 long the wall to the right (for $\\omega&gt\;0$). The flow is linearly sta
 ble with perturbations propagating unattenuated along the interface betwee
 n vortical and irrotational fluid. Fully nonlinear numerical integrations 
 of the time-dependent equations of motion show that flow started from rest
  does indeed closely approach the steady state.  Superposing an opposing d
 ipole at the origin changes the momentum flux of the flow and leads to the
  growth of a bulge in the flow near the origin\, a phenomenon seen in many
  rotating outflow experiments. When density variations are allowed the gov
 erning equation is no longer Laplace&#39\;s equation but solutions can be 
 obtained through a long-wave theory.<br><br><i>Co-authors:&nbsp\;</i><i>Se
 an Jamshidi (UCL)\, Robb McDonald&nbsp\;</i><i>(UCL)</i><br>
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR