Turbulent Wall-Pressure Fluctuations: A New Model for Off-Axis Cross-Spectral Density

[+] Author and Article Information
B. A. Singer

High Technology Corp., 28 Research Drive, Hampton, VA 23666

J. Fluids Eng 119(2), 277-280 (Jun 01, 1997) (4 pages) doi:10.1115/1.2819131 History: Received April 03, 1996; Revised September 23, 1996; Online December 04, 2007


Models for the distribution of the wall-pressure under a turbulent boundary layer often estimate the coherence of the cross-spectral density in terms of a product of two coherence functions. One such function describes the coherence as a function of separation distance in the mean-flow direction, the other function describes the coherence in the cross-stream direction. Analysis of data from a large-eddy simulation of a turbulent boundary layer reveals that this approximation dramatically underpredicts the coherence for separation directions that are neither aligned with nor perpendicular to the mean-flow direction. These models fail even when the coherence functions in the directions parallel and perpendicular to the mean flow are known exactly. A new approach for combining the parallel and perpendicular coherence functions is presented. The new approach results in vastly improved approximations for the coherence.

Copyright © 1997 by The American Society of Mechanical Engineers
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