On a variational property of helicity in incompressible flows

Jacques Lewalle

doi:10.1016/0375-9601(87)90838-3

On a variational property of helicity in incompressible flows

Jacques Lewalle

Department of Mechanical & Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The variational principle of minimum entropy production (Glansdorff and Prigogine) provides the basis for this note. In the case of incompressible isothermal flows, the second variation of the functional is examined. The equations of motion are satisfied by the velocity field which maximizes the flux of relative helicity, under certain variational constraints.

Original language	English (US)
Pages (from-to)	338-340
Number of pages	3
Journal	Physics Letters A
Volume	122
Issue number	6-7
DOIs	https://doi.org/10.1016/0375-9601(87)90838-3
State	Published - Jun 22 1987

ASJC Scopus subject areas

General Physics and Astronomy

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title = "On a variational property of helicity in incompressible flows",

abstract = "The variational principle of minimum entropy production (Glansdorff and Prigogine) provides the basis for this note. In the case of incompressible isothermal flows, the second variation of the functional is examined. The equations of motion are satisfied by the velocity field which maximizes the flux of relative helicity, under certain variational constraints.",

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AB - The variational principle of minimum entropy production (Glansdorff and Prigogine) provides the basis for this note. In the case of incompressible isothermal flows, the second variation of the functional is examined. The equations of motion are satisfied by the velocity field which maximizes the flux of relative helicity, under certain variational constraints.

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On a variational property of helicity in incompressible flows

Abstract

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