Effects of Convection and Decay of Turbulence on the Wall Pressure Wavenumber-Frequency Spectrum

[+] Author and Article Information
W. L. Keith, B. M. Abraham

Submarine Sonar Department, Naval Undersea Warfare Center Detachment, New London, CT 06320

J. Fluids Eng 119(1), 50-55 (Mar 01, 1997) (6 pages) doi:10.1115/1.2819118 History: Received July 07, 1995; Revised May 13, 1996; Online December 04, 2007


Cross-spectral and cross-correlation data from experiments and numerical simulations have shown the turbulent wall pressure convection velocity to vary with the streamwise sensor spatial separation. This variation is due to the spatial decay rates of turbulent structures in the inner and outer regions of the boundary layer. Its effect is shown to have a significant impact on the distribution of energy in the wavenumber-frequency spectrum Φ (k1 , ω). The standard Corcos model is known to over predict the wavenumber-frequency spectrum at low wavenumbers. This is shown to result from its constant convection velocity assumption. The spectral levels at sub convective and lower wavenumbers are shown to be directly influenced by the spatial variation in convection velocity. Convection velocity measurements from past investigations that cover the range 285 ≤ Rθ ≤ 29,000 are compared, and an outer variable scaling is shown to effectively collapse the data.

Copyright © 1997 by The American Society of Mechanical Engineers
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