Article
Shear-wave speeds and elastic moduli for different liquids. Part 1. Theory
Journal of Fluid Mechanics
(2006)
Abstract
In this paper we develop a theory for a rheometrical device for measuring the speed of shear waves into a region at rest. The device is a Couette apparatus with a narrow gap. The outer cylinder is moved impulsively and a time of transit is measured. The linearized theory governing this apparatus is reduced to a perturbation of Stokes’ first problem between parallel planes. A method for determining an effective shear modulus from measured values of the wave speed is discussed and various cases are analysed. An experimental apparatus based on this theory, together with tabular data, is discussed in a companion paper (Part 2, Joseph, Riccius & Arney 1986).
Disciplines
Publication Date
April 21, 2006
DOI
10.1017/S0022112086001453
Publisher Statement
© 1986 Cambridge University Press. Publisher's statement of version: https://doi.org/10.1017/S0022112086001453
Citation Information
Amitabh Narain, D. D. Joseph and O. Riccius. "Shear-wave speeds and elastic moduli for different liquids. Part 1. Theory" Journal of Fluid Mechanics Vol. 171 (2006) p. 289 - 308 ISSN: 0022-1120 Available at: http://works.bepress.com/a-narain/78/