Evidence of the k11 Law in a High-Reynolds-Number Turbulent Boundary Layer

T. B. Nickels, I. Marusic, S. Hafez, and M. S. Chong
Phys. Rev. Lett. 95, 074501 – Published 9 August 2005

Abstract

Dimensional analysis and overlap arguments lead to a prediction of a region in the streamwise velocity spectrum of wall-bounded turbulent flows in which the dependence on the streamwise wave number, k1, is given by k11. Some recent experiments have questioned the existence of this region. In this Letter, experimental spectra are presented which support the existence of the k11 law in a high-Reynolds-number boundary layer. This Letter presents the experimental results and discusses the theoretical and experimental issues involved in examining the existence of the k11 law and the reasons why it has proved so elusive.

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  • Received 23 May 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.074501

©2005 American Physical Society

Authors & Affiliations

T. B. Nickels*

  • Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, United Kingdom

I. Marusic

  • Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, Minnesota 55455, USA

S. Hafez and M. S. Chong§

  • Department of Mechanical and Manufacturing Engineering, University of Melbourne, Victoria 3010, Australia

  • *Electronic address: tbn22@eng.cam.ac.uk
  • Electronic address: marusic@aem.umn.edu
  • Electronic address: shafez@unimelb.edu.au
  • §Electronic address: min@unimelb.edu.au

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Issue

Vol. 95, Iss. 7 — 12 August 2005

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