[Sur la relation entre les modes globaux et les spectres des forces hydrodynamiques dans un sillage périodique]
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.
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”.
Accepté le :
Publié le :
Mots-clés : Mécanique des fluides, Sillages périodiques, Forces hydrodynamiques, Écoulements rectifiés
Bartosz Protas 1, 2 ; José Eduardo Wesfreid 2
@article{CRMECA_2003__331_1_49_0, author = {Bartosz Protas and Jos\'e Eduardo Wesfreid}, title = {On the relation between the global modes and the spectra of drag and lift in periodic wake flows}, journal = {Comptes Rendus. M\'ecanique}, pages = {49--54}, publisher = {Elsevier}, volume = {331}, number = {1}, year = {2003}, doi = {10.1016/S1631-0721(02)00018-9}, language = {en}, }
TY - JOUR AU - Bartosz Protas AU - José Eduardo Wesfreid TI - On the relation between the global modes and the spectra of drag and lift in periodic wake flows JO - Comptes Rendus. Mécanique PY - 2003 SP - 49 EP - 54 VL - 331 IS - 1 PB - Elsevier DO - 10.1016/S1631-0721(02)00018-9 LA - en ID - CRMECA_2003__331_1_49_0 ER -
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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