Optimal streaks in the wake of a blunt-based axisymmetric bluff body and their influence on vortex shedding

Mathieu Marant; Carlo Cossu; Grégory Pujals

doi:10.1016/j.crme.2017.05.010

Optimal streaks in the wake of a blunt-based axisymmetric bluff body and their influence on vortex shedding

Mathieu Marant ¹; Carlo Cossu ¹; Grégory Pujals ²

¹ Institut de mécanique des fluides de Toulouse, CNRS–INP–UPS, 2, allée du Professeur-Camille-Soula, 31400 Toulouse, France
² PSA Peugeot Citroën, Centre technique de Vélizy, 2, route de Gisy, 78943 Vélizy-Villacoublay cedex, France

Comptes Rendus. Mécanique, Volume 345 (2017) no. 6, pp. 378-385.

Abstract

We compute the optimal perturbations of azimuthal wavenumber m THAT maximize the spatial energy growth in the wake of a blunt-based axisymmetric bluff body. Optimal perturbations with $m \neq 0$ lead to the amplification of streamwise streaks in the wake. When forced with finite amplitude $m \neq 1$ , optimal perturbations have a stabilizing effect on large-scale unsteady vortex shedding in the wake. We show that $m \geq 2$ modes, which are forced with zero mass flux, can significantly reduce the amplitude of the unsteady lift force exerted on the body. When combined with low levels of base bleed, these perturbations can completely suppress the unsteadiness in the wake with reduced levels of mass injection in the flow.

Received: 2017-02-03
Accepted: 2017-05-11
Published online: 2017-06-01

DOI: 10.1016/j.crme.2017.05.010

Mots-clés : Fluid dynamics, Hydrodynamic stability, Flow control

Author's affiliations:

Mathieu Marant ¹; Carlo Cossu ¹; Grégory Pujals ²

¹ Institut de mécanique des fluides de Toulouse, CNRS–INP–UPS, 2, allée du Professeur-Camille-Soula, 31400 Toulouse, France
² PSA Peugeot Citroën, Centre technique de Vélizy, 2, route de Gisy, 78943 Vélizy-Villacoublay cedex, France

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     author = {Mathieu Marant and Carlo Cossu and Gr\'egory Pujals},
     title = {Optimal streaks in the wake of a blunt-based axisymmetric bluff body and their influence on vortex shedding},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {378--385},
     publisher = {Elsevier},
     volume = {345},
     number = {6},
     year = {2017},
     doi = {10.1016/j.crme.2017.05.010},
     language = {en},
}

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Mathieu Marant; Carlo Cossu; Grégory Pujals. Optimal streaks in the wake of a blunt-based axisymmetric bluff body and their influence on vortex shedding. Comptes Rendus. Mécanique, Volume 345 (2017) no. 6, pp. 378-385. doi : 10.1016/j.crme.2017.05.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.05.010/

References
Cited by

[1] M. Tanner A method of reducing the base drag of wings with blunt trailing edges, Aeronaut. Q., Volume 23 (1972), pp. 15-23

[2] P.W. Bearman; J.C. Owen Reduction of bluff-body drag and suppression of vortex shedding by the introduction of wavy separation lines, J. Fluids Struct., Volume 12 (1998) no. 1, pp. 123-130

[3] H. Choi; W.P. Jeon; J. Kim Control of flow over a bluff body, Annu. Rev. Fluid Mech., Volume 40 (2008), pp. 113-139

[4] Y. Hwang; J. Kim; H. Choi Stabilization of absolute instability in spanwise wavy two-dimensional wakes, J. Fluid Mech., Volume 727 (2013), pp. 346-378

[5] G. Del Guercio; C. Cossu; G. Pujals Stabilizing effect of optimally amplified streaks in parallel wakes, J. Fluid Mech., Volume 739 (2014), pp. 37-56

[6] G. Del Guercio; C. Cossu; G. Pujals Optimal perturbations of non-parallel wakes and their stabilizing effect on the global instability, Phys. Fluids, Volume 26 (2014)

[7] G. Del Guercio; C. Cossu; G. Pujals Optimal streaks in the circular cylinder wake and suppression of the global instability, J. Fluid Mech., Volume 752 (2014), pp. 572-588

[8] P.J. Schmid; D.S. Henningson Stability and Transition in Shear Flows, Springer, New York, 2001

[9] L. Brandt The lift-up effect: the linear mechanism behind transition and turbulence in shear flows, Eur. J. Mech. B, Fluids, Volume 47 (2014), pp. 80-96

[10] H. Choi; J. Lee; H. Park Aerodynamics of heavy vehicles, Annu. Rev. Fluid Mech., Volume 46 (2014) no. 1, pp. 441-468

[11] P. Bohorquez; E. Sanmiguel-Rojas; A. Sevilla; J.I. Jiménez-González; C. Martínez-Bazán Stability and dynamics of the laminar wake past a slender blunt-based axisymmetric body, J. Fluid Mech., Volume 676 (2011), pp. 110-144

[12] C. Cossu; L. Brandt Stabilization of Tollmien–Schlichting waves by finite amplitude optimal streaks in the Blasius boundary layer, Phys. Fluids, Volume 14 (2002), p. L57-L60

[13] C. Cossu; L. Brandt On Tollmien–Schlichting waves in streaky boundary layers, Eur. J. Mech. B, Fluids, Volume 23 (2014), pp. 815-833

[14] G. Pujals; S. Depardon; C. Cossu Drag reduction of a 3D bluff body using coherent streamwise streaks, Exp. Fluids, Volume 49 (2010) no. 5, pp. 1085-1094

[15] A.P. Willis; Y. Hwang; C. Cossu Optimally amplified large-scale streaks and drag reduction in the turbulent pipe flow, Phys. Rev. E, Volume 82 (2010)

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