Portal de Periódicos da CAPES

Steady interaction of a vortex street with a shear flow

2010; American Institute of Physics; Volume: 22; Issue: 9 Linguagem: Inglês

10.1063/1.3480398

1527-2435

Darren Crowdy, Rhodri Nelson,

Wind and Air Flow Studies

A one parameter family of explicit solutions of the Euler equations is presented comprising a steadily propagating point vortex street situated in a region of uniform vorticity below a periodically deformed vortex jump separating a region of irrotational flow from a uniform shear flow. Various features of the new solutions are described. The limiting solutions are such that the vortex jump develops a periodic sequence of cusps. The stability of the equilibria is investigated numerically using a cylindrical contour dynamics algorithm. The equilibria not too close to the limiting case are found to be structurally robust for a large range of parameter values.