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Experimental studies on the frequency selection in flat plate wakes: Mean-flow stability analyses and low-dimensional modeling

Dipankar Dutta1, Indra Kanshana1, Shyam Sunder Gopalakrishnan2,3,*, and A. C. Mandal1,†

  • 1Department of Aerospace Engineering, Indian Institute of Technology, Kanpur 208016, India
  • 2Faculté des Sciences, Université libre de Bruxelles (ULB), 1050 Brussels, Belgium
  • 3Laboratoire de Physique des Lasers, Atomes et Molécules, CNRS UMR 8523, 59655 Villeneuve d'Ascq Cedex, France

  • *shyam7sunder@gmail.com
  • †alakeshm@iitk.ac.in
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Phys. Rev. Fluids 7, 044102 – Published 14 April, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.044102

Abstract

We investigate the global frequency selection of two-dimensional vortex shedding in the flat plate wake. The analysis is based on the mean-flow velocity profiles obtained from experimental measurements carried out for two values of Reynolds number, 1850 and 3350, which are based on the plate thickness and the free-stream velocity. Two different trailing edge geometries of the flat plate are considered in this study: blunt and circular. By performing local spatiotemporal analyses on the measured mean-flow velocity profiles, we estimate the global shedding frequency of the flow. This is in excellent agreement with the shedding frequency measured experimentally. To complement the study, we carry out a low-dimensional modeling based on the proper orthogonal decomposition (POD) of the flow fields which is novel for flat plate wakes. We observe that a model based on only two POD modes produces an accurate estimate of the global shedding frequency. Our results also highlight the role of the interaction strength between the mean flow and the higher harmonics thereby experimentally supporting the theoretical criterion outlined in Sipp and Lebedev [J. Fluid Mech. 593, 333 (2007)].

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Phys. Rev. Fluids 7, 044102– Published 14 April, 2022
  • Received 31 May 2021
  • Accepted 4 March 2022
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