University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Nonlinear energy transfer between fluid sloshing and vessel motion

Turner, MR and Bridges, TJ (2013) Nonlinear energy transfer between fluid sloshing and vessel motion Journal of Fluid Mechanics, 719. pp. 606-636.

[img]
Preview
PDF
nf_rectangular_final.pdf
Available under License : See the attached licence file.

Download (856kB)
[img]
Preview
PDF
Supplementary_nf_rectangular_final.pdf
Available under License : See the attached licence file.

Download (449kB)
[img]
Preview
PDF (licence)
SRI_deposit_agreement.pdf

Download (33kB)

Abstract

This paper examines the dynamic coupling between a sloshing fluid and the motion of the vessel containing the fluid. A mechanism is identified which leads to an energy exchange between the vessel dynamics and fluid motion. It is based on a 1:1 resonance in the linearized equations, but nonlinearity is essential for the energy transfer. For definiteness, the theory is developed for Cooker's pendulous sloshing experiment. The vessel has a rectangular cross section, is partially filled with a fluid, and is suspended by two cables. A nonlinear normal form is derived close to an internal 1:1 resonance, with the energy transfer manifested by a heteroclinic connection which connects the purely symmetric sloshing modes to the purely anti-symmetric sloshing modes. Parameter values where this pure energy transfer occurs are identified. In practice, this energy transfer can lead to sloshing-induced destabilization of fluid-carrying vessels.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Turner, MRUNSPECIFIEDUNSPECIFIED
Bridges, TJUNSPECIFIEDUNSPECIFIED
Date : 2 January 2013
Identification Number : 10.1017/jfm.2013.29
Additional Information : Copyright 2013 Cambridge University Press. Reprinted with permission.
Depositing User : Symplectic Elements
Date Deposited : 21 Mar 2013 11:23
Last Modified : 09 Jun 2014 13:13
URI: http://epubs.surrey.ac.uk/id/eprint/745731

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800