1964
DOI: 10.1017/s0022112064000659
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A study of the motion of a cavity in a rotating liquid

Abstract: Experiments are described in which a spinning tube was initially filled with water and closed at both ends; when the water had acquired uniform angular velocity the tube was suddenly opened at one end and hence emptied by centrifugal action, so that a cavity progressed along it towards the far end. The velocity of the cavity was found to be steady and proportional to the speed of rotation over the range tested, which confirmed the supposition that gravity and viscosity had insignificant effects on the cavity m… Show more

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Cited by 21 publications
(6 citation statements)
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“…This is the case of axisymmetric disturbances in a fluid with constant density and with uniform angular velocity together with zero axial velocity in the undisturbed state. I n keeping with the present conclusions, Benjamin & Barnard (1964) have shown both theoretically and experimentally that a continuous disturbance propagated into the steady-state region cannot develop into a steady bore, but is instead headed by a continually dispersing wave-front.…”
Section: -2supporting
confidence: 85%
“…This is the case of axisymmetric disturbances in a fluid with constant density and with uniform angular velocity together with zero axial velocity in the undisturbed state. I n keeping with the present conclusions, Benjamin & Barnard (1964) have shown both theoretically and experimentally that a continuous disturbance propagated into the steady-state region cannot develop into a steady bore, but is instead headed by a continually dispersing wave-front.…”
Section: -2supporting
confidence: 85%
“…I n this case the perturbation propagates to infinity immediately. Such an unexpected phenomena was found in a similar problem investigated by Benjamin & Barnard (1964).…”
Section: ( B ) the Goursat Problemsupporting
confidence: 68%
“…As far as thewriter is aware, there is as yet only one example in which the existence of upstream influence at finite Rossby number has been predicted with certainty. This is the case of an axisymmetric cavity advancing into rotating liquid contained in a long tube, which was treated both experimentally and theoretically by Benjamin & Barnard (1964). By considering a momentum balance they showed that a steady flow relative to the cavity is impossible, and in an appendix to their paper L. E. Fraenkel presented an alternative argument which confirmed this conclusion.…”
Section: T B Benjaminmentioning
confidence: 96%