DOI: 10.1017/s002211206400026x. The structure of the turbulent pressure field in boundary-layer flows

The structure of the turbulent pressure field in boundary-layer flows

10.1017/s002211206400026x

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

The paper is discussion of measurements of the statistical properties of the pressure field at the wall of turbulent attached shear flows. These measurements have been made only in part by the author. A preliminary discussion is given of the important limitations imposed by the imperfect space resolution of contemporary pressure transducers. There follows a discussion of the appropriate scales of the pressure field. It is shown that measurements of the longitudinal cross-spectral densities lead to similarity variables for the space-time covariance of the pressure and for the corresponding spectra. The existence of these similarity variables may be due to the dispersion of the sources of pressure by the mean velocity gradient. Such a mechanism is illustrated by a simple model. Lateral cross-spectral densities also lead approximately to similarity variables. Computations based directly upon detailed pressure-velocity correlation measurements by Wooldridge & Willmarth reveal that an important part of the pressure at the wall of a boundary layer is contributed by source terms which are quadratic in the turbulent velocity fluctuations; the interaction of the mean strain rate with normal velocity fluctuations, being in effect limited to a region very near the wall, supplies a dominant contribution only at high frequencies and its scales, downstream convective speed and convective memory are markedly smaller than those of the observed wall pressure. The inner part of the Law of the Wall region (y* [les ] 100) seems to be substantially free of pressure sources and within that region (a) the pressure can be given in terms of its boundary value, and (b) the local velocity field is dependent upon but unbale to affect appreciably the turbulent pressures.

Bibliography

Corcos, G. M. (1964). The structure of the turbulent pressure field in boundary-layer flows. Journal of Fluid Mechanics, 18(3), 353â378.

Authors 1

G. M. Corcos (first)

References 23 Referenced 489

Corcos, G. M. 1962 Pressure fluctuations in shear flows.University of California Inst. of Eng. Res. Report, Series 183, no. 2.
Kistler, A. L. & Chen, W. S. 1962 The fluctuating pressure field in a supersonic turbulent boundary layer.Jet Propulsion Laboratory Tech. Rep., no. 32-277.
Phillips, O. M. 1954 Surface noise from a plane turbulent boundary layer.Aero. Res. Counc. (London), no. 16,963.
Wooldridge, C. E. & Willmarth, W. W. 1962 Measurements of the correlation between the fluctuating velocities and fluctuating wall pressures in a thick turbulent boundary layer. Univ. of Michigan, ORA Report no. 0-2920-2-T.
Favre, A. J. , Gaviglio, J. J. & Dumas, R. 1957 Space-time double correlations in a turbulent boundary layer.J. Fluid. Mech. 3,313. (10.1017/S0022112057000166)
Von Winkle, A. A. 1960 Some measurements of longitudinal space-time correlations of wall pressure fluctuations in turbulent pipe flow.Univ. of California Inst. of Eng. Res. Report, Series 82, Issue no. 20.
Richards, E. J. 1961 Aerodynamic noise sources. Paper B. 3,‘Control of Noise’ conference, National Physical Laboratory, Teddington.
Serafini, J. S. 1962 Wall pressure fluctuations in a turbulent boundary layer. Ph. D. Thesis, Case Institute of Technology.
Bull, M. K. & Willis, J. L. 1961 Some results of experimental investigations of the surface pressure field due to a turbulent boundary layer.University of Southampton, A.A.S.U. Report, no. 199.
Klebanoff, P. S. 1954 Characteristics of turbulence in a boundary layer with zero pressure gradient.Nat. Adv. Comm. Aero. (Wash.) Tech. Note, no. 3178.
Hodgson, T. H. 1962 Pressure fluctuations in shear flow turbulence.College of Aeronautics, Cranfield, Note, no. 129.
Bull, M. K. 1963 Properties of the fluctuating wall-pressure field of a turbulent boundary layer.University of Southampton, A.A.S.U. Report, no. 234.
Townsend, A. A. 1956 The structure of turbulent shear flow .Cambridge University Press.
Willmarth, W. W. & Wooldridge, C. E. 1962 Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer.J. Fluid Mech. 14,187. (10.1017/S0022112062001160)
Lilley, G. M. 1963 Wall pressure fluctuations under turbulent boundary layers at subsonic and supersonic speeds. College of Aeronautics, Cranfield, COA Note 140.
Kraichnan, R. H. 1956 Pressure fluctuations in turbulent flow over a flat plate.J. Acoust. Soc. Amer. 28,378. (10.1121/1.1908336)
Uberoi, M. A. & Kovasnay, L. S. G. 1953 On the mapping of random fields.Quart. Appl. Math. 10,375. (10.1090/qam/51466)
Skudrzyk, E. F. & Haddle, C. P. 1960 Noise production in a turbulent boundary layer by smooth and rough surfaces.J. Acoust. Soc. Amer. 32,19. (10.1121/1.1907871)
Harrison, M. 1958 Pressure fluctuations on the wall adjacent to a turbulent boundary layer.David Taylor Model Basin Report, no. 1260. (10.5962/bhl.title.47578)
Lilley, G. M. & Hodgson, T. H. 1960 On surface pressure fluctuations in turbulent boundary layers.AGARD Report, no. 276.
Bakewell, H. P. , Carey, G. F. , Libuka, J. J. , Schloemer, H. H. & Von Winkle, W. A. 1962 Wall pressure correlations in turbulent pipe flow. U.S. Navy Under-water Sound Laboratory Report no. 559.
Willmarth, W. W. 1957 Space-time correlations and spectra of wall-pressure in a turbulent boundary layer. Nat. Adv. Comm. Aero. Tech. Mem. no. 3-17-59 W.
Corcos, G. M. 1963 On the resolution of pressure in turbulence.J. Acoust. Soc. Amer. 35, no. 2 (10.1121/1.1918431)

Dates

Type	When
Created	19 years, 5 months ago (March 28, 2006, 6:28 a.m.)
Deposited	2 months, 1 week ago (June 20, 2025, 2:44 p.m.)
Indexed	6 days, 18 hours ago (Aug. 26, 2025, 2:46 a.m.)
Issued	61 years, 6 months ago (March 1, 1964)
Published	61 years, 6 months ago (March 1, 1964)
Published Online	19 years, 5 months ago (March 28, 2006)
Published Print	61 years, 6 months ago (March 1, 1964)

Funders 0

None

BibTeX

@article{Corcos_1964, title={The structure of the turbulent pressure field in boundary-layer flows}, volume={18}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s002211206400026x}, DOI={10.1017/s002211206400026x}, number={3}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Corcos, G. M.}, year={1964}, month=mar, pages={353–378} }

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