Drag cancellation by added-mass pumping
Drag cancellation by added-mass pumping
A submerged body subject to a sudden shape-change experiences large forces due to the variation of added-mass energy. While this phenomenon has been studied for single actuation events, application to sustained propulsion requires studying periodic shape-change. We do so in this work by investigating a spring-mass oscillator submerged in quiescent fluid subject to periodic changes in its volume. We develop an analytical model to investigate the relationship between added-mass variation and viscous damping and demonstrate its range of application with fully coupled fluid-solid Navier-Stokes simulations at large Stokes number. Our results demonstrate that the recovery of added-mass kinetic energy can be used to completely cancel the viscous damping of the fluid, driving the onset of sustained oscillations with amplitudes as large as four times the average body radius $r_0$. A quasi-linear relationship is found to link the terminal amplitude of the oscillations $X$, to the extent of size change $a$, with $X/a$ peaking at values from 4 to 4.75 depending on the details of the shape-change kinematics. In addition, it is found that pumping in the frequency range of $1-\frac{a}{2r_0}<\omega^2/\omega_n^2<1+\frac{a}{2r_0}$ is required for sustained oscillations. These results on the unsteady fluid forces produced by shape-changing bodies provide a foundation for the design and control of soft-bodied underwater vehicles.
1-11
Giorgio-Serchi, Francesco
8571dc14-19c1-4ed1-8080-d380736a6ffa
Weymouth, Gabriel
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0
10 June 2016
Giorgio-Serchi, Francesco
8571dc14-19c1-4ed1-8080-d380736a6ffa
Weymouth, Gabriel
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0
Giorgio-Serchi, Francesco and Weymouth, Gabriel
(2016)
Drag cancellation by added-mass pumping.
Journal of Fluid Mechanics, 798 (R3), .
(doi:10.1017/jfm.2016.353).
Abstract
A submerged body subject to a sudden shape-change experiences large forces due to the variation of added-mass energy. While this phenomenon has been studied for single actuation events, application to sustained propulsion requires studying periodic shape-change. We do so in this work by investigating a spring-mass oscillator submerged in quiescent fluid subject to periodic changes in its volume. We develop an analytical model to investigate the relationship between added-mass variation and viscous damping and demonstrate its range of application with fully coupled fluid-solid Navier-Stokes simulations at large Stokes number. Our results demonstrate that the recovery of added-mass kinetic energy can be used to completely cancel the viscous damping of the fluid, driving the onset of sustained oscillations with amplitudes as large as four times the average body radius $r_0$. A quasi-linear relationship is found to link the terminal amplitude of the oscillations $X$, to the extent of size change $a$, with $X/a$ peaking at values from 4 to 4.75 depending on the details of the shape-change kinematics. In addition, it is found that pumping in the frequency range of $1-\frac{a}{2r_0}<\omega^2/\omega_n^2<1+\frac{a}{2r_0}$ is required for sustained oscillations. These results on the unsteady fluid forces produced by shape-changing bodies provide a foundation for the design and control of soft-bodied underwater vehicles.
Text
1604 02663v2.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 21 May 2016
e-pub ahead of print date: 8 June 2016
Published date: 10 June 2016
Organisations:
Fluid Structure Interactions Group
Identifiers
Local EPrints ID: 398372
URI: http://eprints.soton.ac.uk/id/eprint/398372
ISSN: 0022-1120
PURE UUID: 9f954581-054e-4dbf-a244-d28c1ef6819a
Catalogue record
Date deposited: 25 Jul 2016 10:08
Last modified: 15 Mar 2024 05:45
Export record
Altmetrics
Contributors
Author:
Francesco Giorgio-Serchi
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics