Hydrodynamic stress maps on the surface of a flexible fin-like foil.

We determine the time dependence of pressure and shear stress distributions on the surface of a pitching and deforming hydrofoil from measurements of the three dimensional flow field. Period-averaged stress maps are obtained both in the presence and absence of steady flow around the foil. The veloci...

Full description

Bibliographic Details
Main Authors: Paule Dagenais, Christof M Aegerter
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2021-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0244674
_version_ 1819032192244776960
author Paule Dagenais
Christof M Aegerter
author_facet Paule Dagenais
Christof M Aegerter
author_sort Paule Dagenais
collection DOAJ
description We determine the time dependence of pressure and shear stress distributions on the surface of a pitching and deforming hydrofoil from measurements of the three dimensional flow field. Period-averaged stress maps are obtained both in the presence and absence of steady flow around the foil. The velocity vector field is determined via volumetric three-component particle tracking velocimetry and subsequently inserted into the Navier-Stokes equation to calculate the total hydrodynamic stress tensor. In addition, we also present a careful error analysis of such measurements, showing that local evaluations of stress distributions are possible. The consistency of the force time-dependence is verified using a control volume analysis. The flapping foil used in the experiments is designed to allow comparison with a small trapezoidal fish fin, in terms of the scaling laws that govern the oscillatory flow regime. As a complementary approach, unsteady Euler-Bernoulli beam theory is employed to derive instantaneous transversal force distributions on the flexible hydrofoil from its deflection and the results are compared to the spatial distributions of hydrodynamic stresses obtained from the fluid velocity field.
first_indexed 2024-12-21T06:58:02Z
format Article
id doaj.art-2a025c3fd37c4269a173a760ec234c2d
institution Directory Open Access Journal
issn 1932-6203
language English
last_indexed 2024-12-21T06:58:02Z
publishDate 2021-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj.art-2a025c3fd37c4269a173a760ec234c2d2022-12-21T19:12:17ZengPublic Library of Science (PLoS)PLoS ONE1932-62032021-01-01161e024467410.1371/journal.pone.0244674Hydrodynamic stress maps on the surface of a flexible fin-like foil.Paule DagenaisChristof M AegerterWe determine the time dependence of pressure and shear stress distributions on the surface of a pitching and deforming hydrofoil from measurements of the three dimensional flow field. Period-averaged stress maps are obtained both in the presence and absence of steady flow around the foil. The velocity vector field is determined via volumetric three-component particle tracking velocimetry and subsequently inserted into the Navier-Stokes equation to calculate the total hydrodynamic stress tensor. In addition, we also present a careful error analysis of such measurements, showing that local evaluations of stress distributions are possible. The consistency of the force time-dependence is verified using a control volume analysis. The flapping foil used in the experiments is designed to allow comparison with a small trapezoidal fish fin, in terms of the scaling laws that govern the oscillatory flow regime. As a complementary approach, unsteady Euler-Bernoulli beam theory is employed to derive instantaneous transversal force distributions on the flexible hydrofoil from its deflection and the results are compared to the spatial distributions of hydrodynamic stresses obtained from the fluid velocity field.https://doi.org/10.1371/journal.pone.0244674
spellingShingle Paule Dagenais
Christof M Aegerter
Hydrodynamic stress maps on the surface of a flexible fin-like foil.
PLoS ONE
title Hydrodynamic stress maps on the surface of a flexible fin-like foil.
title_full Hydrodynamic stress maps on the surface of a flexible fin-like foil.
title_fullStr Hydrodynamic stress maps on the surface of a flexible fin-like foil.
title_full_unstemmed Hydrodynamic stress maps on the surface of a flexible fin-like foil.
title_short Hydrodynamic stress maps on the surface of a flexible fin-like foil.
title_sort hydrodynamic stress maps on the surface of a flexible fin like foil
url https://doi.org/10.1371/journal.pone.0244674
work_keys_str_mv AT pauledagenais hydrodynamicstressmapsonthesurfaceofaflexiblefinlikefoil
AT christofmaegerter hydrodynamicstressmapsonthesurfaceofaflexiblefinlikefoil