Frequency and damping of non-axisymmetric surface oscillations of a viscous cylindrical liquid bridge

Kidambi, R (2011) Frequency and damping of non-axisymmetric surface oscillations of a viscous cylindrical liquid bridge. Journal of fluid Mechanics, 681 . pp. 597-621.

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    Abstract

    We present a semi-analytic solution for the on-axisymmetric oscillations of a viscous cylindrical free-standing liquid bridge formed between two coaxial discs of radius R. Even though a streamfunction does not exist, a Helmholtz decomposition is used to obtain an analytic representation of the velocity field. An eigenvalue problem is formulated by projecting the free-surface boundary conditions onto a suitable space of test functions. This is then solved iteratively along with the dispersion relation obtained from the satisfaction of endwall boundary conditions. Extensive comparison with previous theoretical and numerical results, for a range of Reynolds number and bridge slenderness ratio, shows very good agreement in most cases. The present solution generalises that of Tsamopoulos, Chen & Borkar (J. Fluid Mech.,vol. 235, 1992, p. 579), which employed a streamfunction formulation and was for the axisymmetric case.

    Item Type: Journal Article
    Uncontrolled Keywords: liquid bridges, capillary waves, computational methods
    Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
    Division/Department: Computational and Theoretical Fluid Dynamics Division
    Depositing User: Ms Indrani V
    Date Deposited: 21 Sep 2012 13:55
    Last Modified: 21 Sep 2012 13:55
    URI: http://nal-ir.nal.res.in/id/eprint/10928

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