Twodimensional vortical motion
Abstract
The motion of two rectilinear isolated vortices in a plane layer of incompressible, inviscid fluid contained in a simply connected domain, when one of the vortices is fixed in position and the other is free to move is presented. The only restriction in the domain is a reasonably shaped boundary which is impermeable, so that any flow must be tangent to it. It is proven that for any such domain, it is always possible to find configurations of positions and relative vortex strength lambda for which the free vortex is in a stationary position. Criteria are established for the stationary configuration. The split plane is taken as a special case and a method is developed to determine all stationary configurations. The stability is studied and trajectories of the free vortex are sketched for several ranges of values of lambda.
 Publication:

Ph.D. Thesis
 Pub Date:
 December 1979
 Bibcode:
 1979PhDT........69L
 Keywords:

 Inviscid Flow;
 Turbulent Boundary Layer;
 Vortices;
 Flow Stability;
 Incompressible Flow;
 Translational Motion;
 Fluid Mechanics and Heat Transfer