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    The Onset Of Resonance In Two-Immiscible Fluids Inside A Spinning And Coning Cylinder

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    06-93-6-0010-fulltext.pdf (459.7Kb)
    Date
    1993
    Author
    Selmi, M.
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    Abstract
    Resonance of the motion of two fluids inside a cylinder that spins about its axis and rotates (cones) about an axis that passes through its center of mass is known to occur for low-viscosity fluids (high Reynolds number flows) at critical geometric parameters and coning frequencies. In this paper the motion of two inviscid fluids inside a spinning and coning cylinder is analyzed by the method of separation of variables for small coning frequencies and/or coning angles. The analytical solution of the inviscid flow equations provides a criterion in the form of a transcendental equation that governs the behavior of the parameters that cause resonance. The transcendental equation was solved numerically by Newton-Raphson's iteration and the results are in good agreement with those obtained for two viscous fluids.
    DOI/handle
    http://hdl.handle.net/10576/8013
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    • Engineering Journal of Qatar University - [From 1988 TO 2005] [‎221‎ items ]

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