Stability of a viscous fluid in an oscillating gravitational field

A. A. Ivanov; A. S. Chuvatin

doi:10.1103/PhysRevE.63.036303

Stability of a viscous fluid in an oscillating gravitational field

A. A. Ivanov
, A. S. Chuvatin

École Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

1 Citation (Scopus)

Résumé

The stability of the interface of a viscous incompressible fluid in an oscillating gravitational field was studied. The dispersion relation for the viscous case represent an infinite determinant of the Hill type. The whole dispersion curve of the instability and its asymptotics in an explicit form were derived. The stabilizing effect of the extremely imposed oscillations resulted to the appearance of stability windows on the growth rate spectrum.

langue originale	Anglais
Numéro d'article	036303
Pages (de - à)	363031-363038
Nombre de pages	8
journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	63
Numéro de publication	3 II
Les DOIs	https://doi.org/10.1103/PhysRevE.63.036303
état	Publié - 1 janv. 2001

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10.1103/PhysRevE.63.036303

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title = "Stability of a viscous fluid in an oscillating gravitational field",

abstract = "The stability of the interface of a viscous incompressible fluid in an oscillating gravitational field was studied. The dispersion relation for the viscous case represent an infinite determinant of the Hill type. The whole dispersion curve of the instability and its asymptotics in an explicit form were derived. The stabilizing effect of the extremely imposed oscillations resulted to the appearance of stability windows on the growth rate spectrum.",

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AB - The stability of the interface of a viscous incompressible fluid in an oscillating gravitational field was studied. The dispersion relation for the viscous case represent an infinite determinant of the Hill type. The whole dispersion curve of the instability and its asymptotics in an explicit form were derived. The stabilizing effect of the extremely imposed oscillations resulted to the appearance of stability windows on the growth rate spectrum.

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DO - 10.1103/PhysRevE.63.036303

M3 - Article

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SN - 1539-3755

VL - 63

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 3 II

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ER -

Stability of a viscous fluid in an oscillating gravitational field

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