Comptes Rendus
On the relation between the global modes and the spectra of drag and lift in periodic wake flows
Comptes Rendus. Mécanique, Volume 331 (2003) no. 1, pp. 49-54.

In this Note we are interested in the relation between the symmetry properties of the global mode envelopes in wake flows and the spectra of the drag and lift forces. We consider the “impulse” formula for the hydrodynamic force and show that the drag force consists of contributions from the even harmonics, and the lift force of contributions from the odd harmonics, only. Our argument explains this well-known empirical fact and is also supported by the computational evidence we provide. Finally, we identify the unsteady wake flows, both controlled and uncontrolled, as belonging to a broader family of “streaming flows”.

Dans cette Note, nous nous intéressons à une relation entre les propriétés de symétrie qui caractérisent les enveloppes des modes globaux des sillages et les spectres des forces de traînée et de portance. Nous analysons ceux-ci avec l'aide de la « formule de l'impulsion » et montrons ainsi que les contributions à la traînée proviennent seulement des harmoniques paires, et les contributions à la portance, des harmoniques impaires. Notre argumentation explique ce fait empirique bien connu. De plus, celle-ci se trouve soutenue par les résultats des simulations numériques qui sont ici présentées. Enfin, nous caractérisons les écoulements stationnaires induits dans un sillage, contrôlé et non-contrôlé, comme appartenant à une famille assez riche d'écoulements rectifiés.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-0721(02)00018-9
Keywords: Fluid mechanics, Periodic wakes, Hydrodynamic forces, Streaming flows
Mot clés : Mécanique des fluides, Sillages périodiques, Forces hydrodynamiques, Écoulements rectifiés

Bartosz Protas 1, 2; José Eduardo Wesfreid 2

1 Department of MAE, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0411, USA
2 Physique et mécanique des milieux hétérogènes – UMR 7636 CNRS, École supérieure de physique et chimie industrielles, 10, rue Vauquelin, 75231 Paris cedex 05, France
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Bartosz Protas; José Eduardo Wesfreid. On the relation between the global modes and the spectra of drag and lift in periodic wake flows. Comptes Rendus. Mécanique, Volume 331 (2003) no. 1, pp. 49-54. doi : 10.1016/S1631-0721(02)00018-9. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)00018-9/

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