Wave propagation in viscous, compressible liquids contained in a viscoelastic tube
Abstract
A theoretical analysis of the propagation of periodic waves through a viscous compressible liquid contained in an infinitely long, viscoelastic tube is presented. In this investigation the frequency equation is obtained first for the elastic tube case, then by the correspondence principle between elastic and viscoelastic materials, the frequency equation is obtained for the viscoelastic tube case. The propagation constants of the two fundamental modes are obtained. Subject to certain restrictions the propagation constants are explicitly expressed in terms of frequency and system parameters. One mode represents the wave due to the longitudinal motion of the tube wall and the other mode represents the pressure wave through the liquid. In this analysis the latter mode, which is defined by the first mode, is mainly discussed. The effects of compressibility of the liquid, Poisson's ratio and the viscoelasticity of the tube material on the propagation constant, of the first mode, are made clear.
 Publication:

Research Laboratory of Precision Machinery and Electronics
 Pub Date:
 March 1976
 Bibcode:
 1976RLPME.......55N
 Keywords:

 Compressible Flow;
 Liquid Flow;
 Pipe Flow;
 Viscoelasticity;
 Viscous Flow;
 Wave Propagation;
 Boundary Value Problems;
 Circular Tubes;
 Equations Of Motion;
 Poisson Ratio;
 Propagation Modes;
 Fluid Mechanics and Heat Transfer