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Experimental Investigation of Separated Shear Flow under Subharmonic Perturbations over a Backward-Facing Step

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Abstract

Subharmonic-perturbed shear flow downstream of a two-dimensional backward-facing step was experimentally investigated. The Reynolds number was Reh = 2.0 ×104, based on free-stream velocity and step height. Planar 2D-2C particle image velocimetry was employed to measure the separating and reattaching flow in the horizontal-vertical plane in the center position. The subharmonic perturbations were generated by an oscillating flap which was implemented over the step edge and driven by periodic Ampere force. The subharmonic frequency was 55 Hz as the half of the fundamental frequency of the turbulent shear layer. As a result of the subharmonic perturbations, the size of recirculation region behind the backward-facing step is reduced and the time-averaged reattachment length is 31.0% shorter than that of the natural flow. The evolution of vortices, including vortex roll-up, growth and breakdown process, is analyzed by using phase-averaging, cross-correlation function and proper orthogonal decomposition. It is found that Reynolds shear stress is considerably increased in which the vortices roll up and then break down further downstream. In particular, rapid growth of vortices based on the “step mode” occurs at approximate half of the recirculation region, caused by in interaction between the shear layer and the recirculation region. Furthermore, the coherent structures, which are represented by a phase-correlated POD mode pair, are reconstructed in phases in order to show regular patterns of the subharmonic-perturbed coherent structures.

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Acknowledgments

The authors sincerely thank Dr. Daniel Schanz and Mr. Janos Agocs from the German Aerospace Center for valuable discussion and essential support during the wind tunnel test.

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Authors and Affiliations

  1. Institute of Aerodynamics and Flow Technology, German Aerospace Center (DLR), Bunsenstrasse 10, 37073, Göttingen, Germany

    Xingyu Ma, Reinhard Geisler & Andreas Schröder

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  1. Xingyu Ma
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  2. Reinhard Geisler
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  3. Andreas Schröder
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Correspondence to Xingyu Ma.

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Ma, X., Geisler, R. & Schröder, A. Experimental Investigation of Separated Shear Flow under Subharmonic Perturbations over a Backward-Facing Step. Flow Turbulence Combust 99, 71–91 (2017). https://doi.org/10.1007/s10494-017-9814-1

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