Vortex rings in an unbounded heavy fluid with piecewise-constant density
type: Item
instance of: scholarly article
title: Vortex rings in an unbounded heavy fluid with piecewise-constant density
zbMATH Open document ID: 0601.76016
DOI: 10.1007/BF01049928
author: O. A. Gil'man
author: I. M. Mindlin
published in: Fluid Dynamics
publication date: 1985-01-01T00:00:00Z
review text: The principal models for the theoretical analysis of vortex rings are Hill's spherical vortex and Maxwell's toroidal vortex. It is proposed to investigate a mathematical model for vortex rings which leads to flows more closely resembling those observed experimentally. This model describes the evolution of a bounded homogeneous heavy fluid mass in an unbounded homogeneous heavy fluid medium (a fluid ''spot'' in a fluid medium). The density of the spot may differ from that of the medium. The fluid is assumed to be ideal and incompressible; its components inside and outside the spot are nonmiscible, so that the spot and the surrounding medium are separated by a fluid boundary; diffusion across the boundary and surface tension are neglected. We will consider flows in which the boundary of the spot is a surface of discontinuity of the velocity component tangential to it.
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3970293
zbMATH Keywords: vortex sheet
zbMATH Keywords: vortex rings
zbMATH Keywords: Hill's spherical vortex
zbMATH Keywords: Maxwell's toroidal vortex
zbMATH Keywords: bounded homogeneous heavy fluid mass
zbMATH Keywords: unbounded homogeneous heavy fluid medium
zbMATH Keywords: fluid ''spot'' in a fluid medium
MaRDI profile type: Publication
cites work: Theory of nonstationary vortices in an ideal fluid
cites work: Contour dynamics for the Euler equations in two dimensions
cites work: On vorticity-induced waves in a homogeneous incompressible fluid
description: scientific article; zbMATH DE number 3970293