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Low-frequency pressure fluctuations in axisymmetric turbulent boundary layers

Published online by Cambridge University Press:  19 April 2006

Ronald L. Panton
Affiliation:
Mechanical Engineering Department, The University of Texas, Austin, Texas 78712
A. L. Goldman
Affiliation:
Mechanical Engineering Department, The University of Texas, Austin, Texas 78712 Present address: Texas Technological University, Lubbock, Texas.
R. L. Lowery
Affiliation:
Mechanical and Aerospace Engineering Department, Oklahoma State University, Stillwater, Oklahoma
M. M. Reischman
Affiliation:
Mechanical and Aerospace Engineering Department, Oklahoma State University, Stillwater, Oklahoma Present address: Naval Undersea Center, San Diego, California.

Abstract

Measurements of wall pressure fluctuations under a turbulent boundary layer were made on the fuselage of a sailplane. This flow offers a noise-free environment with a low free stream turbulence level. The axisymmetric boundary layer undergoes natural transition and develops in a zero pressure gradient region. Spectra of the wall pressure were found to decrease at low frequency in agreement with calculations based upon a turbulence–mean shear interaction mechanism. Velocity fluctuations at several positions within and outside the boundary layer were measured and correlated with the wall pressure. A special conditional correlation method was also employed to find the contribution of various velocity fluctuations to the wall pressure. A conditioning signal was formed based upon the signs of u and v and the turbulent–non-turbulent nature of the flow. This signal was time lagged and correlated with the wall pressure signal. It was found that in the outer portion of the boundary layer (y/δ > 0·5), irrotational motions were more highly correlated with the wall pressure than vortical motion.

Type
Research Article
Copyright
© 1980 Cambridge University Press

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References

Bakewell, H. P. 1968 J. Acoust. Soc. Am. 43, 1358.
Bendat, J. S. & Piersol, A. G. 1971 Random Data: Analysis and Measurement Procedures. Wiley Interscience.
Blackwelder, R. F. & Kovasznay, L. S. G. 1972 Phys. Fluids 15, 1545.
Bradshaw, P. 1967 J. Fluid Mech. 27, 209.
Bull, M. K. 1963 AGARD Rep., 455.
Coles, D. E. & Hirst, E. A. 1968 Proc. Conf. on Compulation of Turbulent Boundary Layers, Stanford, Ca. vol. II.
Ffowcs Williams, J. E. 1965 J. Fluid Mech. 22, 507.
Hedley, T. B. & Keffer, J. F. 1974 J. Fluid Mech. 64, 625.
Hodgson, T. H. 1962 Ph.D. Thesis, University of London.
Hodgson, T. H. 1971 Proc. 1st Interagency Symp. on Transportation Noise, Purdue Univ., p. 510.
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 J. Fluid Mech. 41, 283.
Keaichnan, R. H. 1956 J. Acoust. Soc. Am. 28, 378.
Liepmann, H. W. 1954 GALCIT/N.A.C.A. Contract Rep. NAW-6288 (Aero. Res. Counc. no. 23515, 1962).
Lilley, G. M. 1964 Arch. Mech. Stosow. 16, 301.
Lilley, G. M. & Hodgson, T. H. 1960 AGARD Rep., 276.
Panton, R. L. 1978 J. Fluid Mech. 88, 97.
Panton, R. L. & Linebarger, J. H. 1974 J. Fluid Mech. 65, 261.
Phillips, O. M. 1955 Proc. Gamb. Phil. Soc. 51, 220.
Tritton, D. J. 1967 J. Fluid Mech. 28, 439.
Willmarth, W. W. 1975a Adv. Appl. Mech. 15, 159.
Willmarth, W. W. 1975b Ann. Rev. Fluid Mech. 7, 13.
Willmarth, W. W. & Wooldridge, C. E. 1962 J. Fluid Mech. 14, 187.
Willmarth, W. W. & Yang, C. S. 1970 J. Fluid Mech. 41, 47.