Azimuthal flow associated with inertial wave resonance in a precessing cylinder

J. Jonathan Kobine

    Research output: Contribution to journalArticle

    27 Citations (Scopus)

    Abstract

    A series of experiments has been carried out on low-viscosity fluid in a right-circular cylinder that rotates rapidly at a constant speed about its axis of symmetry. This axis in turn is made to undergo less rapid precession about a second axis passing through the centroid of the cylinder. The linear inviscid response of the fluid to such forcing can be expressed as a spectrum of inertial wave modes. However, there are several interesting features of the problem that are associated with nonlinear and viscous effects. One such phenomenon is the appearance of an azimuthal flow under conditions that are related to the underlying linear inertial wave behaviour. Results are presented concerning the manner in which this flow depends on the various experimental parameters. Dynamical properties of the circulation following the onset of forcing have also been investigated. The flow at forcing frequencies close to the fundamental inertial wave resonance was found to have a vortex-like structure, and this led to data that suggest that hydrodynamic instabilities may play a part in the observed breakdown to turbulent motion in regimes of strong forcing.

    Original languageEnglish
    Pages (from-to)387-406
    Number of pages20
    JournalJournal of Fluid Mechanics
    Volume319
    DOIs
    Publication statusPublished - Jul 1996

    Keywords

    • MOTION
    • INTERNAL SHEAR LAYERS
    • ROTATING FLUID CYLINDER
    • NUTATING CYLINDER

    Cite this

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    title = "Azimuthal flow associated with inertial wave resonance in a precessing cylinder",
    abstract = "A series of experiments has been carried out on low-viscosity fluid in a right-circular cylinder that rotates rapidly at a constant speed about its axis of symmetry. This axis in turn is made to undergo less rapid precession about a second axis passing through the centroid of the cylinder. The linear inviscid response of the fluid to such forcing can be expressed as a spectrum of inertial wave modes. However, there are several interesting features of the problem that are associated with nonlinear and viscous effects. One such phenomenon is the appearance of an azimuthal flow under conditions that are related to the underlying linear inertial wave behaviour. Results are presented concerning the manner in which this flow depends on the various experimental parameters. Dynamical properties of the circulation following the onset of forcing have also been investigated. The flow at forcing frequencies close to the fundamental inertial wave resonance was found to have a vortex-like structure, and this led to data that suggest that hydrodynamic instabilities may play a part in the observed breakdown to turbulent motion in regimes of strong forcing.",
    keywords = "MOTION, INTERNAL SHEAR LAYERS, ROTATING FLUID CYLINDER, NUTATING CYLINDER",
    author = "Kobine, {J. Jonathan}",
    year = "1996",
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    language = "English",
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    journal = "Journal of Fluid Mechanics",
    issn = "0022-1120",
    publisher = "Cambridge University Press",

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    Azimuthal flow associated with inertial wave resonance in a precessing cylinder. / Kobine, J. Jonathan.

    In: Journal of Fluid Mechanics, Vol. 319, 07.1996, p. 387-406.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Azimuthal flow associated with inertial wave resonance in a precessing cylinder

    AU - Kobine, J. Jonathan

    PY - 1996/7

    Y1 - 1996/7

    N2 - A series of experiments has been carried out on low-viscosity fluid in a right-circular cylinder that rotates rapidly at a constant speed about its axis of symmetry. This axis in turn is made to undergo less rapid precession about a second axis passing through the centroid of the cylinder. The linear inviscid response of the fluid to such forcing can be expressed as a spectrum of inertial wave modes. However, there are several interesting features of the problem that are associated with nonlinear and viscous effects. One such phenomenon is the appearance of an azimuthal flow under conditions that are related to the underlying linear inertial wave behaviour. Results are presented concerning the manner in which this flow depends on the various experimental parameters. Dynamical properties of the circulation following the onset of forcing have also been investigated. The flow at forcing frequencies close to the fundamental inertial wave resonance was found to have a vortex-like structure, and this led to data that suggest that hydrodynamic instabilities may play a part in the observed breakdown to turbulent motion in regimes of strong forcing.

    AB - A series of experiments has been carried out on low-viscosity fluid in a right-circular cylinder that rotates rapidly at a constant speed about its axis of symmetry. This axis in turn is made to undergo less rapid precession about a second axis passing through the centroid of the cylinder. The linear inviscid response of the fluid to such forcing can be expressed as a spectrum of inertial wave modes. However, there are several interesting features of the problem that are associated with nonlinear and viscous effects. One such phenomenon is the appearance of an azimuthal flow under conditions that are related to the underlying linear inertial wave behaviour. Results are presented concerning the manner in which this flow depends on the various experimental parameters. Dynamical properties of the circulation following the onset of forcing have also been investigated. The flow at forcing frequencies close to the fundamental inertial wave resonance was found to have a vortex-like structure, and this led to data that suggest that hydrodynamic instabilities may play a part in the observed breakdown to turbulent motion in regimes of strong forcing.

    KW - MOTION

    KW - INTERNAL SHEAR LAYERS

    KW - ROTATING FLUID CYLINDER

    KW - NUTATING CYLINDER

    U2 - 10.1017/S0022112096007380

    DO - 10.1017/S0022112096007380

    M3 - Article

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    SP - 387

    EP - 406

    JO - Journal of Fluid Mechanics

    JF - Journal of Fluid Mechanics

    SN - 0022-1120

    ER -