Sound Propagation in Non-Newtonian Fluids

[+] Author and Article Information
D. R. Raichel

Dathar Corporation, Ramsey, N. J.

W. H. Kapfer

Department of Chemical Engineering and School of Engineering and Science, New York University, Bronx, N. Y.

J. Appl. Mech 40(1), 1-6 (Mar 01, 1973) (6 pages) doi:10.1115/1.3422925 History: Received July 01, 1971; Online July 12, 2010


A perturbation analysis is applied to the basic hydrodynamic equations and developed to determine the non-Newtonian effects of a small-signal plane wave propagating through a viscous fluid which is continuous, homogeneous, and isotropic. With the emphasis on liquids, the analysis is applied to the case of a Powell-Eyring fluid (which specializes to the case of a Prandtl-Eyring model) in order to ascertain the magnitudes of second and third-order effects occurring as a result of viscous nonlinearity. It is established that the appearance of second and third harmonics, or “harmonic distortions” of the fundamental wave, can provide a measure of the deviation from Newtonian behavior that should prove useful in laboratory practice. For the purpose of demonstrating the sonic effects of non-Newtonian fluidity, numerical results are obtained for the specially assumed case of sound propagation in compressed water acting as a Powell-Eyring fluid. The second and third-order harmonic distortions are found as functions of fundamental wave frequency, signal strength, and viscous parameters.

Copyright © 1973 by ASME
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