Mechanics of the Flow in an Elastic Tube Extending From an Orifice Into a Pressure Vessel

[+] Author and Article Information
J. L. Holmberg, T. A. Wilson

Department of Aeronautics and Engineering Mechanics, University of Minnesota, Minneapolis, Minn.

J. Appl. Mech 37(3), 812-816 (Sep 01, 1970) (5 pages) doi:10.1115/1.3408613 History: Received February 06, 1969; Revised December 30, 1969; Online July 12, 2010


A model consisting of two elastic beams separated by hinged rods is used to analyze the axially nonuniform collapse of an elastic tube extending into a pressure vessel. The conditions for which the tube will close are determined experimentally. A self-excited oscillation of the deformation is observed over a range of a factor of 10 in reservoir pressure. The frequency of the oscillation is from 10–100 Hz when water is the fluid flowing out of thin-walled Penrose drainage tubing and approximately 2000 Hz when air is the fluid. A second model is analyzed to describe the important features of the oscillation.

Copyright © 1970 by ASME
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