Swirling Free Surface Flow in Cylindrical Containers

Siginer Dennis, R. Knight

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. A regular domain perturbation in terms of the angular velocity of the bottom is used. The flow field is made up of the superposition of azimuthal and meridional fields. The meridional field is solved both by biorthogonal series and a numerical algorithm. The free surface on the liquid is determined at the lowest significant order. The aspect ratio of the cylinder may generate a multiple cell structure in the meridional plane which in turn shapes the free surface.
Original languageEnglish
Pages (from-to)245-264
JournalJournal of Engineering Mathematics
Volume27
Issue number3
DOIs
Publication statusPublished - 1993

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Swirling Flow
Free Surface Flow
Container
Free Surface
Containers
Domain Perturbation
Angular velocity
Aspect Ratio
Numerical Algorithms
Container closures
Superposition
Flow Field
Lowest
Rotating
Liquid
Series
Aspect ratio
Flow fields
Cell
Liquids

Cite this

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abstract = "Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. A regular domain perturbation in terms of the angular velocity of the bottom is used. The flow field is made up of the superposition of azimuthal and meridional fields. The meridional field is solved both by biorthogonal series and a numerical algorithm. The free surface on the liquid is determined at the lowest significant order. The aspect ratio of the cylinder may generate a multiple cell structure in the meridional plane which in turn shapes the free surface.",
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Swirling Free Surface Flow in Cylindrical Containers. / Dennis, Siginer; Knight, R.

In: Journal of Engineering Mathematics, Vol. 27, No. 3, 1993, p. 245-264.

Research output: Contribution to journalArticle

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AB - Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. A regular domain perturbation in terms of the angular velocity of the bottom is used. The flow field is made up of the superposition of azimuthal and meridional fields. The meridional field is solved both by biorthogonal series and a numerical algorithm. The free surface on the liquid is determined at the lowest significant order. The aspect ratio of the cylinder may generate a multiple cell structure in the meridional plane which in turn shapes the free surface.

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