Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion

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 red...

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Main Authors: Rhodes, Preston, van Rees, Wim M.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Cambridge University Press 2024
Online Access:https://hdl.handle.net/1721.1/157676
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author Rhodes, Preston
van Rees, Wim M.
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Rhodes, Preston
van Rees, Wim M.
author_sort Rhodes, Preston
collection MIT
description 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.
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spelling mit-1721.1/1576762024-12-23T05:56:53Z Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion Rhodes, Preston van Rees, Wim M. Massachusetts Institute of Technology. Department of Mechanical Engineering 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. 2024-11-26T14:01:19Z 2024-11-26T14:01:19Z 2024-11-13 Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/157676 Rhodes P, van Rees WM. Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion. Flow. 2024;4:E27. en_US https://doi.org/10.1017/flo.2024.21 Flow Creative Commons Attribution An error occurred on the license name. https://creativecommons.org/licenses/by/4.0/ application/pdf Cambridge University Press Cambridge University Press
spellingShingle Rhodes, Preston
van Rees, Wim M.
Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion
title Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion
title_full Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion
title_fullStr Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion
title_full_unstemmed Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion
title_short Hydrodynamic forces on a side-by-side ellipse pair with and without relative motion
title_sort hydrodynamic forces on a side by side ellipse pair with and without relative motion
url https://hdl.handle.net/1721.1/157676
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