Wave Propagation in Viscous, Compressible Liquids Confined in Elastic Tubes

[+] Author and Article Information
R. P. DeArmond

Bettis Atomic Power Laboratory, Westinghouse Electric Corp., West Mifflin, Pa.

W. T. Rouleau

Carnegie-Mellon University, Pittsburgh, Pa.

J. Basic Eng 94(4), 811-816 (Dec 01, 1972) (6 pages) doi:10.1115/1.3425565 History: Received December 22, 1971; Online October 27, 2010


The problem of steady-state, small amplitude, periodic wave propagation in a viscous, compressible liquid contained in an infinitely long, elastic tube is solved for the complex propagation constants of the two lowest modes of motion. One mode has a speed of propagation and decay constant characteristic of acoustic waves propagating in a liquid; the other mode corresponds to acoustic waves propagating in an elastic tube. The behavior of these two modes is investigated as a function of frequency, viscosity, and tube rigidity. A third mode of motion corresponding to edge loads on the tube is also investigated. This mode, unlike the other two modes, is characterized by a cut-off frequency above which the propagation distance is infinite and below which it is finite.

Copyright © 1972 by ASME
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