Journal of Fluid Mechanics

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Experimental sensitivity analysis of the global properties of a two-dimensional turbulent wake

Vladimir Parezanovića1 c1 and Olivier Cadota1

a1 Unité de Mécanique, École Nationale Supérieure de Techniques Avancées de ParisTech, Chemin de la Hunière, 91761 Palaiseau, France

Abstract

The sensitivity of the global properties of a two-dimensional turbulent wake produced by the separated flow of a ‘D’-shaped cylinder at $\mathit{Re}= 13\hspace{0.167em} 000$ is investigated experimentally using a small circular control cylinder as a local disturbance. The height of the main cylinder is $D= 25~\mathrm{mm} $ and control cylinders are of diameters $d= 0. 04D$ and $d= 0. 12D$, the former being smaller than the shear layer thickness detaching from the main cylinder, while the latter is larger. In both cases, the control cylinder is able to modify the global frequency, base pressure and spanwise velocity correlation. The results are presented as sensitivity maps. Reynolds stresses spatial structure and the recirculation bubble length are examined in detail when the control cylinder is displaced vertically across the wake at a fixed downstream location. It is found that the increase of the recirculation bubble length is accompanied by a damping of Reynolds stresses with a downstream shift of their spatial structures together with the base pressure increase. The global frequency can be either decreased or increased independently of the bubble length modification. The sensitivity of these global properties is interpreted on the basis of the ability of the control cylinder to change the size of the formation region of the Kármán vortex street by interacting with the primary detached shear layers. The corresponding physical mechanisms are discussed. The impact of a two-dimensional control cylinder on the three-dimensional properties of the wake is examined through spanwise correlation. This is found to be improved whenever the control cylinder is placed inside the recirculation region of the main cylinder wake.

(Received May 30 2011)

(Reviewed September 09 2011)

(Accepted November 07 2011)

(Online publication January 16 2012)

Key Words:

  • absolute/convective instability;
  • flow control;
  • separated flows

Correspondence:

c1 Email address for correspondence: parezanovic@ensta-paristech.fr

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