Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion
Name
hydrodynamic-forces-on-a-side-by-side-ellipse-pair-with-and-without-relative-motion.pdf
Size
1.04 MB
Format
Adobe PDF
Checksum (MD5)
fc244d21ee314009e1160da08d05b772
Author(s)
Rhodes, Preston
van Rees, Wim M.
Date Issued
November 13, 2024
Journal
Flow
Publisher
Cambridge University Press
Citation
Rhodes P, van Rees WM. Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion. Flow. 2024;4:E27.
Version
Final published version
Abstract
Motivated by flow interactions in schooling biological swimmers as well as in unmanned underwater vehicle fleets, we investigate the flow past two identical 6 : 1 ellipses using two-dimensional simulations at Reynolds numbers of (103). When both ellipses move at the same velocity, overall drag reductions of 10 %–20 % can be achieved in staggered formations, with the strongest drag reductions occurring at the smallest lateral distances. In side-by-side configurations, the drag on both bodies increases by 10 %–20 %. Lift coefficients are repulsive and up to four times larger than the total drag coefficients. During overtaking manoeuvres, increasing the relative speed of the overtaking ellipse predominantly affects the forces on the overtaken ellipse. The mean drag force on the overtaken ellipse increases with increasing speed difference. Mean lift forces during the overtaking manoeuvre are repulsive for both bodies; as the speed difference increases, the repulsive force increases on the overtaken body and decreases on the overtaking body. Overall, these results highlight that the lateral forces in hydrodynamic interactions between bodies in formation dominate the hydrodynamic interactions. Further, the results indicate that future work is needed to investigate how viscous and three-dimensional effects change the lateral forces between side-by-side submerged bodies.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1017/flo.2024.21
