Instability of steady flows with constant vorticity in vessels of elliptic cross-section
type: Item
instance of: scholarly article
title: Instability of steady flows with constant vorticity in vessels of elliptic cross-section
zbMATH Open document ID: 0629.76047
DOI: 10.1016/0021-8928(86)90121-8
author: B. George
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The problem of the stability of steady flows of a perfect incompressible fluid in vessels of elliptic cross-section is studied. The flow velocity field of the main stream is a linear function of the coordinates and the vorticity is constant. The spectral problem for the linear perturbations is solved using the method of consecutive approximations. The instability of the flows to a first approximation is demonstrated. A special case of the flow in a triaxial ellipsoid is analyzed in detail.
Mathematics Subject Classification ID: 76E05
zbMATH DE Number: 4025006
zbMATH Keywords: stability of steady flows
zbMATH Keywords: perfect incompressible fluid
zbMATH Keywords: vessels of elliptic cross-section
zbMATH Keywords: spectral problem
zbMATH Keywords: linear perturbations
zbMATH Keywords: method of consecutive approximations
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90121-8
OpenAlex ID: W2061703630
cites work: Q3657585
cites work: Q5557046
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description: scientific article; zbMATH DE number 4025006