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  • Transient analytical solution for the motion of a vibrating cylinder in the Stokes regime using Laplace transforms

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    Author(s)
    Woodfield, Peter Lloyd
    Griffith University Author(s)
    Woodfield, Peter L.
    Year published
    2015
    Metadata
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    Abstract
    A new analytical solution for the motion of an elastic cylinder in a viscous fluid is derived using Laplace transforms. Unlike previously available solutions, full expressions for transient terms are given. The solution is compared with conventional treatments of this problem. It is expected to have particular value for applications related to viscosity measurement using vibrating-wire viscometers applied to higher viscosity fluids.A new analytical solution for the motion of an elastic cylinder in a viscous fluid is derived using Laplace transforms. Unlike previously available solutions, full expressions for transient terms are given. The solution is compared with conventional treatments of this problem. It is expected to have particular value for applications related to viscosity measurement using vibrating-wire viscometers applied to higher viscosity fluids.
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    Journal Title
    Journal of Fluids and Structures
    Volume
    54
    DOI
    https://doi.org/10.1016/j.jfluidstructs.2014.10.015
    Copyright Statement
    © 2015 Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (http://creativecommons.org/licenses/by-nc-nd/4.0/) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, providing that the work is properly cited.
    Subject
    Engineering
    Dynamics, vibration and vibration control
    Fluid mechanics and thermal engineering not elsewhere classified
    Publication URI
    http://hdl.handle.net/10072/69161
    Collection
    • Journal articles

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