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Wall-pressure fluctuations beneath turbulent boundary layers on a flat plate and a cylinder

Published online by Cambridge University Press:  29 March 2006

W. W. Willmarth  and
C. S. Yang
W. W. Willmarth
Affiliation:
Department of Aerospace Engineering, The University of Michigan
C. S. Yang
Affiliation:
Department of Aerospace Engineering, The University of Michigan
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Abstract

Measurements of the turbulent pressure field on the outer surface of a 3 in. diameter cylinder aligned with the flow were made at a point approximately 24 ft. downstream of the origin of the turbulent boundary layer in an air stream of 145 ft./sec. The boundary-layer thickness was 2·78 in. and the Reynolds number based on momentum thickness was 2·62 × 104. The wall-pressure measurements were made with pressure transducers constructed from 0·06 in. diameter lead–zirconate–titanate disks mounted flush with the wall. The measurements including root-mean-square, power spectrum, and correlations of the wall pressure are compared with the existing experimental results for the turbulent pressure field beneath a plane boundary layer. The streamwise convection speed deduced from longitudinal space-time correlation measurements was almost identical to that obtained in the plane boundary layer. The rate of decay of the maxima of the space-time correlation of the pressure produced by the convected eddies was double that in a plane boundary layer. The longitudinal and transverse scales of the pressure correlation were approximately equal (in a plane boundary layer the transverse scale is larger than longitudinal scale) and were one-half or less than the longitudinal scale in the plane boundary layer. It is concluded that the effect of the transverse curvature of the wall is an overall reduction in size of pressure-producing eddies. The reduction in transverse scale of the larger eddies is greater than that of the smaller eddies. In general, the smaller eddies decay more rapidly and produce greater spectral densities at high frequencies owing to the unchanged convection speed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 1 , 26 March 1970 , pp. 47 - 80
Copyright
© 1970 Cambridge University Press

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References

Alexander, L. G., Baron, T. & Comings, E. W. 1953 University of Illinois Engineering Experiment Station, Bulletin, Series no. 413.
Bull, M. K. 1961 University of Southampton Report, A.A.S.U. no. 200.
Bull, M. K., Wilby, J. F. & Blackman, D. R. 1963 University of Southampton Report, A.A.S.U. no. 243; also 1967 J. Fluid Mech. 28, 719.Google Scholar
Clauser, F. H. 1956 Advances in Applied Mechanics, vol. 4. New York: Academic Press.
Coles, D. 1954 Z.A.M.P. 5, 181.
Coles, D. 1955 50 Jahre Grenzshichtforschung (ed. by Görtler and Tollmien). Braunschweig: F. Vieweg.
Corcos, G. M. 1962 University of California, Institute of Engineering Research, Report, Series no. 183, Issue no. 2; also 1964 J. Fluid Mech. 16, 353.Google Scholar
Corcos, G. M. 1963 J. acoust. Soc. Am. 35, 192.
Glauert, M. B. & Lighthill, M. J. 1955 Proc. Roy. Soc. A 230, 188.
McMillian, F. A. 1954 J. Roy. Aeron. Soc. 58, 837.
Moore, F. K. 1952 N.A.C.A. Tech. Note, no. 2722.
Patel, V. C. 1965 J. Fluid Mech. 23, 185.
Preston, J. H. 1954 J. Roy. Aeron. Soc. 58, 109.
Rao, G. N. V. 1967 J. appl. Mech. Trans. ASME, 34, 237.
Reid, R. O. & Wilson, W. 1963 J. Hydraulic Division, Proc. ASCE, 89, 21.
Richmond, R. L. 1957 Guggenheim Aeronautical Laboratory, California Institute of Technology, Hypersonic Research Project Memo, no. 39, and Thesis, California Institute of Technology.
Schlichting, H. 1968 Boundary Layer Theory, 6th ed. New York: McGraw-Hill.
Tu, B. J. & Willmarth, W. W. 1966 University of Michigan, Tech. Rep. 02920–3-T.
Willmarth, W. W. 1958a J. Aeron. Sci. 25, 335.
Willmarth, W. W. 1958b Rev. Scient. Instrum. 29, 218.
Willmarth, W. W. & Roos, F. W. 1965 J. Fluid Mech. 22, 81.
Willmarth, W. W. & Wooldridge, C. E. 1962 J. Fluid Mech. 14, 187.
Wills, J. A. B. 1964 J. Fluid Mech. 20, 417.
Yasuhara, M. 1959 Trans. Jap. Soc. Aero. Sci. 2, 72.
Yu, Y. S. 1958 J. Ship Res. 2, no. 3, 33.