Modeling the Wall Pressure Spectrum in Turbulent Pipe Flows

[+] Author and Article Information
Peter D. Lysak

Applied Research Laboratory, Pennsylvania State University, P.O. Box 30, State College, PA 16804

J. Fluids Eng 128(2), 216-222 (Aug 19, 2005) (7 pages) doi:10.1115/1.2170125 History: Received April 08, 2005; Revised August 19, 2005

An important source of vibration and noise in piping systems is the fluctuating wall pressure produced by the turbulent boundary layer. One approach to calculating the wall pressure fluctuations is to use a stochastic model based on the Poisson pressure equation. If the model is developed in the wave-number domain, the solution to the wave-number-frequency spectrum can be expressed as an integral of the turbulent sources over the boundary layer thickness. Models based on this formulation have been reported in the literature which show good agreement with measured pressure spectra, but they have relied on adjustable “tuning” constants to account for the unknown properties of the turbulent velocity fluctuations. A variation on this approach is presented in this paper, in which only well-known “universal” constants are used to model the turbulent velocity spectrum. The resulting pressure spectrum predictions are shown to be in good agreement with canonical data sets over a wide range of Reynolds numbers.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Mean velocity profile in the wall layer

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Figure 2

Profile of the rms wall-normal velocity

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Figure 3

Mixing length at three different Reynolds numbers UτD∕ν and inertial sublayer asymptote L=κy

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Figure 4

Point pressure frequency spectra calculated at three different Reynolds numbers UτD∕ν, with corresponding experimental data (circles: Lauchle and Daniels (15); triangles: Bakewell (16); squares: Carey (17))

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Figure 5

Transverse spectral correlation length calculated at three different Reynolds numbers UτD∕ν, along with Corcos empirical model (21-22)



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