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Effects of external intermittency and mean shear on the spectral inertial-range exponent in a turbulent square jet

J. Zhang1, M. Xu2, A. Pollard3, and J. Mi1,*

  • 1State Key Laboratory of Turbulence & Complex Systems, College of Engineering, Peking University, Beijing 100871, China
  • 2Marine Engineering College, Dalian Maritime University, Dalian 116026, China
  • 3Department of Mechanical and Materials Engineering, Queen's University at Kingston, Ontario, Canada K7L-3N6

  • *Corresponding author: jcmi@coe.pku.edu.cn
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Phys. Rev. E 87, 053009 – Published 14 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.053009

Abstract

This study investigates by experiment the dependence of the inertial-range exponent m of the streamwise velocity spectrum on the external intermittency factor γ (≡ the fraction of time the flow is fully turbulent) and the mean shear S in a turbulent square jet. Velocity measurements were made using hot-wire anemometry in the jet at 15 < x/De < 40, where De denotes the exit equivalent diameter, and for an exit Reynolds number of Re = 50 000. The Taylor microscale Reynolds number Rλ varies from about 70 to 450 in the present study. The TERA (turbulent energy recognition algorithm) method proposed by Falco and Gendrich [in Near-Wall Turbulence: 1988 Zoran Zariç Memorial Conference, edited by S. J. Kline and N. H. Afgan (Hemisphere Publishing Corp., Washington, DC, 1990), pp. 911–931] is discussed and applied to estimate the intermittency factor from velocity signals. It is shown that m depends strongly on γ but negligibly on S. More specifically, m varies with γ following m=mt+(lnγ−0.0173)1/2, where mt denotes the spectral exponent found in fully turbulent regions.

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Phys. Rev. E 87, 053009– Published 14 May, 2013
  • Received 26 January 2013

©2013 American Physical Society

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