The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Table of Contents - 1985 - Volume 26, Issue 04  

Research Article

Asymptotic estimates for symmetric vortex streets

G. Keadya1

a1 Mathematics Department, University of Western Australia, Nedlands, W.A. 6009.

Abstract

Steady plane inviscid symmetric vortex streets are flows defined in the strip R × (0, b) and periodic in x with period 2a in 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 centroid yc of the vortex core Aα are fixed, will be considered. For such a family, indexed by a parameter α, suppose that the cores Aα become small in the sense that

S0334270000004677_eqnU1

Asymptotic estimates on functionals such as flux constant and speed are obtained.

(Received May 09 1983)

(Revised February 13 1984)