Transient analytical solution for the motion of a vibrating cylinder in the Stokes regime using Laplace transforms
Abstract
A new analytical solution for the motion of an elastic cylinder in a viscous fluid is derived using Laplace transforms. Unlike previously available solutions, full expressions for transient terms are given. The solution is compared with conventional treatments of this problem. It is expected to have particular value for applications related to viscosity measurement using vibrating-wire viscometers applied to higher viscosity fluids.
Journal Title
Journal of Fluids and Structures
Volume
54
Copyright Statement
© 2015 Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (http://creativecommons.org/licenses/by-nc-nd/4.0/) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, providing that the work is properly cited.
Subject
Engineering
Dynamics, vibration and vibration control
Fluid mechanics and thermal engineering not elsewhere classified