cid 622befcea01e1e8d68ba8f630ff7c9aac6e808c485016bd36fabe7447d88f655 · original · via openalex
Title: Energetics of vortex rollup and pairing Authors: Joel H. Ferziger Venue: The Physics of Fluids Year: 1980 Canonical: doi:10.1063/1.862840 URL: https://doi.org/10.1063/1.862840 Collector: openalex OA: false ABSTRACT The change in kinetic energy between the initial and final states of the rollup of an infinite vortex sheet into an array of uniform vortices is calculated. From the result, an upper limit on the pitch-to-diameter ratio of the vortex array is found. This contrasts with a lower limit found from stability considerations by Moore and Saffman. By extending the calculation to the case of elliptical vortices, it is found that a combination of energy and stability considerations is able to predict, qualitatively, a number of the observed features of the free shear layer.