Technical Briefs

Longitudinal Waves in a Submerged Cylindrical Rod

[+] Author and Article Information
G. Iosilevskii

Faculty of Aerospace Engineering, Technion, Haifa 32000, Israeligil@aerodyne.technion.ac.il

The tentacles are made mostly of muscle; the numbers cited here are those of a mammalian muscle.

By assuming that the fluid is incompressible, it is implied that the velocity of sound in the fluid is large compared with the propagation velocity in the rod.

J. Appl. Mech 78(2), 024502 (Nov 10, 2010) (4 pages) doi:10.1115/1.4002570 History: Received October 02, 2009; Revised September 06, 2010; Posted September 16, 2010; Published November 10, 2010; Online November 10, 2010

This study is concerned with longitudinal displacement waves propagating in an elastic cylindrical rod submerged in a viscous fluid. Provided that the wave propagation velocity in the rod is small compared with the velocity of sound in the surrounding fluid and the wavelength is large compared with the thickness of the boundary layer around the rod, an analytical relation is obtained between the wave number and the frequency. The presence of the fluid makes the waves disperse—the short waves become faster than the long ones.

Copyright © 2011 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Contours of equal velocity induced by an oscillating cylindrical rod

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Figure 2

Wave number as a function of reduced frequency. Thin lines mark asymptotic values.

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Figure 3

Amplitude attenuation over a single wavelength (a) and penetration distance for a 10-fold attenuation (b). Thin lines mark asymptotic values.

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Figure 4

(a) The propagation (phase) velocity and (b) the group velocity



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