Topological defects in the wake bubble and the Euler

In this article we study the connection between the topological

defects (singularities of the velocity eld) inside a region with recirculating

viscous ow past an arbitrary blunt body (wake bubble). The topological de-

fects in the wall of the blunt body and inside the bubble form a circuit or

net, where the viscous steady dynamic is developed. The primary motivation

is to understand the structure of this connection for several known types of

two-dimensional incompressible flows.

Keywords Poincare-Hopf Topological defect cylinder flow