A spectral model for the wall-pressure fluctuations induced on a zero pressure gradient, flat, rigid surface by a transitioning boundary layer at low Mach number is developed in this paper. The central assumption used in this modeling is that the space-time statistics associated with the formation, convection, and interaction of turbulent spots in a naturally occurring boundary-layer transition are independent of the space-time statistics of the wall-pressure fluctuations that are induced by the turbulence in the individual spots. Space-time correlations for the spots were determined experimentally and semi-empirical formulae are developed to predict these correlations. Previously published statistical descriptions of turbulence-induced wall-pressure fluctuations are coupled with the spot statistics to arrive at the model for the wavevector-frequency spectrum of the transition region. The basic result suggests that the wall-pressure wavevector-frequency spectrum of a transitioning boundary layer is approximately that produced by a fully-turbulent layer weighted by the intermittency factor.
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October 1990
Research Papers
Modeling the Wavevector-Frequency Spectrum of Boundary-Layer Wall Pressure During Transition on a Flat Plate
M. A. Josserand,
M. A. Josserand
Thomson-Sintra, Cheminin des Travails, 06802 Cagnes sur mer, France
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G. C. Lauchle
G. C. Lauchle
Penn State University, Applied Research Laboratory, P. O. Box 30, State College, PA 16804
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M. A. Josserand
Thomson-Sintra, Cheminin des Travails, 06802 Cagnes sur mer, France
G. C. Lauchle
Penn State University, Applied Research Laboratory, P. O. Box 30, State College, PA 16804
J. Vib. Acoust. Oct 1990, 112(4): 523-534 (12 pages)
Published Online: October 1, 1990
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Received:
December 1, 1989
Online:
June 17, 2008
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Josserand, M. A., and Lauchle, G. C. (October 1, 1990). "Modeling the Wavevector-Frequency Spectrum of Boundary-Layer Wall Pressure During Transition on a Flat Plate." ASME. J. Vib. Acoust. October 1990; 112(4): 523–534. https://doi.org/10.1115/1.2930138
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