The Wavenumber-Phase Velocity Representation for the Turbulent Wall-Pressure Spectrum

[+] Author and Article Information
Ronald L. Panton

Mechanical Engineering Department, University of Texas, Austin, TX 78712

Gilles Robert

Laboratorie de Mecanique des Fluids et d’Acoustique, Ecole Centrale de Lyon, 69131 Ecully Cedex, France

J. Fluids Eng 116(3), 477-483 (Sep 01, 1994) (7 pages) doi:10.1115/1.2910301 History: Received January 25, 1993; Revised September 29, 1993; Online May 23, 2008


Wall-pressure fluctuations can be represented by a spectrum level that is a function of flow-direction wavenumber and frequnecy, Φ (k1 , ω). In the theory developed herein the frequency is replaced by a phase speed; ω = ck1 . At low wavenumbers the spectrum is a universal function if nondimensionalized by the friction velocity u* and the boundary layer thickness δ, while at high wavenumbers another universal function holds if nondimensionalized by u* and viscosity ν. The theory predicts that at moderate wavenumbers the spectrum must be of the form Φ+ (k+ 1 , ω+ = c+ k+ 1 ) = k+ 1 − 2 P+ (Δc+ ) where P+ (Δc+ ) is a universal function. Here Δc+ is the difference between the phase speed and the speed for which the maximum of Φ+ occurs. Similar laws exist in outer variables. New measurements of the wall-pressure are given for a large Reynolds number range; 45,000 < Re = Uo δ/ν < 113,000. The scaling laws described above were tested with the experimental results and found to be valid. An experimentally determined curve for P+ (Δc+ ) is given.

Copyright © 1994 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In