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Title: Correlation of pressure fluctuations in turbulent wall layers

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 2; Journal Issue: 9; Related Information: CHORUS Timestamp: 2017-09-20 10:30:01; Journal ID: ISSN 2469-990X
American Physical Society
Country of Publication:
United States

Citation Formats

Panton, Ronald L., Lee, Myoungkyu, and Moser, Robert D.. Correlation of pressure fluctuations in turbulent wall layers. United States: N. p., 2017. Web. doi:10.1103/PhysRevFluids.2.094604.
Panton, Ronald L., Lee, Myoungkyu, & Moser, Robert D.. Correlation of pressure fluctuations in turbulent wall layers. United States. doi:10.1103/PhysRevFluids.2.094604.
Panton, Ronald L., Lee, Myoungkyu, and Moser, Robert D.. 2017. "Correlation of pressure fluctuations in turbulent wall layers". United States. doi:10.1103/PhysRevFluids.2.094604.
title = {Correlation of pressure fluctuations in turbulent wall layers},
author = {Panton, Ronald L. and Lee, Myoungkyu and Moser, Robert D.},
abstractNote = {},
doi = {10.1103/PhysRevFluids.2.094604},
journal = {Physical Review Fluids},
number = 9,
volume = 2,
place = {United States},
year = 2017,
month = 9

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on September 20, 2018
Publisher's Accepted Manuscript

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  • While many studies have investigated the influence of flow structure in a turbulent boundary layer on the wall pressure signature, the conclusion of these studies have often been limited due to their reliance on a single observation. These single observations include investigations using one signal processing method over a range of locations, or a variety of signal processing techniques at a single location in the boundary layer. Hence, the conclusions often include conjecture on the impact of the flow structure at other physical locations, as well as predictions on the observable effect of flow structure should the turbulence be examinedmore » with a different signal processing perspective. In the current study, experimental data of simultaneous wall pressure and velocity fluctuations across the boundary layer have been obtained in a low-noise flow facility. These data have been examined using a variety of signal processing techniques, including probability distributions and spectral analysis. The distinct features of the Reynolds stress within the boundary layer and the observed irrotational motion at the outer edge of the boundary layer were evident in the results from each signal processing method. The influence of these two flow patterns on the wall pressure spectrum was identified and support conjectures made on the correlation between turbulence source locations and frequency bands in the wall pressure spectrum. The investigation demonstrates the necessity and utility of multiple perspectives over a range of spatial locations to study turbulence.« less
  • The wavenumber-frequency spectral densities of turbulent wall pressure fluctuations are investigated over a rigid flat plate. Nonlinear Reynolds stress terms of the inhomogeneous Orr-Sommerfeld equation are regarded as a known forcing function. The forcing function is modeled after Bark{close_quote}s hydrodynamic bursting formulation. The inhomogeneous Orr-Sommerfeld equation is solved by the method of Eckhaus in terms of discrete homogeneous solutions. The method of Eckhaus is then extended and proved for the continuous Orr-Sommerfeld eigenfunctions. Turbulent wall pressure fluctuations in terms of wavenumber-frequency spectral densities are numerically computed and compared to the experimental results of Martin as well as to his transformationmore » of Blake{close_quote}s data fitted to a modified Corcos model. The wavenumber-frequency spectral densities numerically computed from the discrete eigenfunctions compared well with Martin{close_quote}s transformations on the convective ridge, but the continuous eigenfunctions made insignificant contributions there. However, it is shown that the continuous eigenfunction contributions compare well with the low-wavenumber, high-frequency wavenumber-frequency spectral density measurements of Martin. {copyright} {ital 1996 American Institute of Physics.}« less
  • The purpose of this two-part paper is to assess the performance of a second-moment closure applicable up to a wall. In the present part, the turbulence model is applied to the boundary layers with periodic pressure gradient, with wall transpiration and with free-stream turbulence. The predictions are shown to be in good agreement with experiments and a direct simulation. In particular, a tendency towards relaminarization and a subsequent retransition in the oscillating boundary layer are faithfully reproduced, and the effect of the length scale of free-stream turbulence is correctly captured.
  • A closed two-phase flow loop system was designed and constructed to measure the spectral characteristics of wall pressure such as rms values, power spectral density, and axial-lateral cross correlations. In this loop, the two-phase flow entered a straight run of smooth plastic pipeline (PVC) having an inside diameter of 20.32 cm (8 in.), achieving at the test section a maximum Reynolds number in the order of 2 x 10/sup 6/ on a liquid basis. Measurements of the wall-pressure fluctuations in a turbulent dispersed two-phase flow were conducted using miniature semiconductor pressure transducers mounted flush with the internal surface of themore » rigid thick-walled metal pipe working test section. Narrow-band spatial correlations were obtained over different center band frequencies ranging from 56.22--891.24 Hz and flow velocities at liquid Reynold's number of 0.819 x 10/sup 6/ to 2.0878 x 10/sup 6/. Lower values of the mixture velocity and the intensity of the pressure fluctuations were observed for high void fraction flows. In general, two-phase flow wall-pressure fluctuations were characterized by low-amplitude frequency spectra. Axial and lateral two-phase flow correlations have shown dependence upon the flow quality (volumetric mixing ratio) and Strouhal number. Two-phase flow wall-pressure field convection showed an increase at higher two-phase flow mixing ratio. The lateral microscale of turbulence was found to be approximately five times that of the axial direction.« less
  • This paper presents heat transfer data for the case of incompressible turbulent boundary layer flow of air over a smooth flat plate with an unheated starting length followed by a heated region with constant wall temperature. This problem is one of the fundamental problems of convective heat transfer. Under the assumption of incompressible flow with constant fluid properties, the boundary layer momentum and energy equations become uncoupled and, in addition, the energy equation becomes linear. Therefore, the problem of heat transfer in the boundary layer with an arbitrary surface temperature is amenable to solution by superposition. The simplest boundary conditionmore » for which solutions can serve as the kernel of this superposition is the step wall temperature. As shown by Reynolds et al. (1958), the heat transfer solution for complicated wall temperature distributions can be reduced to a rather simple quadrature by using superposition with the step wall temperature solution.« less