Asymptotic estimates for symmetric vortex streets

Abstract

AbstractSteady plane inviscid symmetric vortex streets are flows defined in the stripR× (0,b) and periodic inxwith period 2ain which the flow in (−a,a) × (0,b) is irrotational outside a vortex core on which the vorticity takes a prescribed constant value. A family of such vortex street flows, characterised by a variational principle in which the area |Aα| and the centroidycof the vortex coreAαare fixed, will be considered. For such a family, indexed by a parameter α, suppose that the coresAαbecome small in the sense thatAsymptotic estimates on functionals such as flux constant and speed are obtained.