Skip to main content Accessibility help
×
Home

Quantification of added-mass effects using particle image velocimetry data for a translating and rotating flat plate

  • S. J. Corkery (a1), H. Babinsky (a1) and W. R. Graham (a1)

Abstract

Added mass characterises the additional force required to accelerate a body when immersed in an ideal fluid. It originates from an asymmetric change to the surrounding pressure field so the fluid velocity satisfies the no-through-flow condition. This is intrinsically linked with the production of boundary vorticity. A body in potential flow may be represented by an inviscid vortex sheet and added-mass forces determined using impulse methods. However, most fluids are not inviscid. It has been theorised that viscosity causes the ‘added-mass vorticity’ to form in an intensely concentrated boundary layer region, equivalent to the inviscid distribution. Experimentally this is difficult to confirm due to limited measurement resolution and the presence of additional boundary layer vorticity, some the result of induced velocities from free vorticity in the flow field. The aim of this paper is to propose a methodology to isolate the added-mass vorticity experimentally with particle image velocimetry, and confirm that it agrees with potential flow theory even in separated flows. Experiments on a flat-plate wing undergoing linear and angular acceleration show close agreement between the theoretical and measured added-mass vorticity distributions. This is demonstrated to be independent of changes to flow topology due to flow separation. Flow field impulse and net force are also consistent with theory. This paper provides missing experimental evidence coupling added mass and the production of boundary layer vorticity, as well as confirmation that inviscid unsteady flow theory describes the added-mass effect correctly even in well-developed viscous flows.

Copyright

Corresponding author

Email address for correspondence: sjc276@cam.ac.uk

References

Hide All
Adrian, R. J. & Westerweel, J. 2011 Particle Image Velocimetry. Cambridge University Press.
Benjamin, T. B. 1986 Note on added mass and drift. J. Fluid Mech. 169, 251256.
Brennen, C. E.1982 A review of added mass and fluid inertial forces. Tech. Rep. CR 82.010. Naval Civil Engineering Laboratory.
Buchner, A. J., Buchmann, N., Kilany, K., Atkinson, C. & Soria, J. 2012 Stereoscopic and tomographic PIV of a pitching plate. Exp. Fluids 52 (2), 299314.
Corkery, S. J., Babinsky, H. & Harvey, J. K. 2018 On the development and early observations from a towing tank-based transverse wing–gust encounter test rig. Exp. Fluids 59 (9), 135.
Darwin, C. 1953 Note on hydrodynamics. Math. Proc. Cambridge Philos. Soc. 49 (2), 342354.
Eldredge, J. D. 2010 A reconciliation of viscous and inviscid approaches to computing locomotion of deforming bodies. Exp. Mech. 50 (9), 13491353.
Graham, W. R., Pitt Ford, C. W. & Babinsky, H. 2017 An impulse-based approach to estimating forces in unsteady flow. J. Fluid Mech. 815, 6076.
Lamb, H. 1895 Hydrodynamics. Cambridge University Press.
Leonard, A. & Roshko, A. 2001 Aspects of flow-induced vibration. J. Fluids Struct. 15 (3–4), 415425.
Milne-Thomson, L. M. 1986 Theoretical Hydrodynamics, 5th edn. Macmillan.
Nobach, H. & Bodenschatz, E. 2009 Limitations of accuracy in PIV due to individual variations of particle image intensities. Exp. Fluids 47 (1), 2738.
Pitt Ford, C. W. & Babinsky, H. 2013 Lift and the leading-edge vortex. J. Fluid Mech. 720, 280313.
Poelma, C., Dickson, W. B. & Dickinson, M. H. 2006 Time-resolved reconstruction of the full velocity field around a dynamically-scaled flapping wing. Exp. Fluids 41 (2), 213225.
Polet, D. T., Rival, D. E. & Weymouth, G. D. 2015 Unsteady dynamics of rapid perching manoeuvres. J. Fluid Mech. 767, 323341.
Raffel, M., Willert, C. E., Wereley, S. T. & Kompenhans, J. 2007 Particle Image Velocimetry: A Practical Guide, 2nd edn. Springer.
Rival, D. E., Prangemeier, T. & Tropea, C. 2009 The influence of airfoil kinematics on the formation of leading-edge vortices in bio-inspired flight. Exp. Fluids 46 (5), 823833.
Saffman, P. G. 1992 Vortex Dynamics. Cambridge University Press.
Stevens, P. R. R. J. & Babinsky, H. 2017 Experiments to investigate lift production mechanisms on pitching flat plates. Exp. Fluids 58 (1), 7.
Wu, J. C. 1981 Theory for aerodynamic force and moment in viscous flows. AIAA J. 19 (4), 432441.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

JFM classification

Quantification of added-mass effects using particle image velocimetry data for a translating and rotating flat plate

  • S. J. Corkery (a1), H. Babinsky (a1) and W. R. Graham (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed