On the relation between the global modes and the spectra of drag and lift in periodic wake flowsSur la relation entre les modes globaux et les spectres des forces hydrodynamiques dans un sillage périodique |
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| Authors: | Bartosz Protas José Eduardo Wesfreid |
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| Institution: | 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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| Abstract: | 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”. To cite this article: B. Protas, J.E. Wesfreid, C. R. Mecanique 331 (2003). |
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| Keywords: | Fluid mechanics Periodic wakes Hydrodynamic forces Streaming flows Mécanique des fluides Sillages périodiques Forces hydrodynamiques Écoulements rectifiés |
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