Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-14T23:16:53.871Z Has data issue: false hasContentIssue false

Mean and fluctuating flow measurements in the hypersonic boundary layer over a cooled wall

Published online by Cambridge University Press:  29 March 2006

A. J. Laderman
Affiliation:
Philco-Ford Corporation, Newport Beach, California
A. Demetriades
Affiliation:
Philco-Ford Corporation, Newport Beach, California

Abstract

Measurements of the mean flow, intermittent structure and turbulent fluctuations were made in a cold-wall boundary layer at a stream Mach number of 9·4 and Reynolds number based on momentum thickness of 36 800. For these conditions, the r.m.s. sublayer thickness was 32 times smaller than that of the boundary layer proper, and the interfacial standard deviation of the latter was about three times proportionately smaller than has been found at low speeds. The mean flow data, which extended well into the sublayer, revealed a large increase in static pressure from the layer edge to the wall and a quadratic law relation between the total temperature and velocity. While the transformed velocity profile was in good agreement with the incompressible law of the wake, no indication of a linear variation of velocity in the sublayer was detected.

Hot-wire fluctuation data, interpreted with the use of appropriate assumptions concerning the nature of the sound field, indicated that the turbulence is dominated by high-frequency pressure fluctuations whose magnitude at the wall and beyond the layer edge agree with extrapolation of data acquired at supersonic speeds. The static temperature fluctuations agreed with expectations from adiabatic, supersonicdata apparently because they were suppressed by the cooled-wall condition. The fluctuations in the longitudinal velocity component were generally small and differed little from lower Mach number results. The high turbulence Reynolds numbers found generated an inertial-subrange spectral decay, while the longitudinal integral scales were found independent of turbulence mode and about one-fifth the boundary-layer thickness.

Type
Research Article
Copyright
© 1974 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Behrens, W. 1963 A.I.A.A. J. 1, 2864.
Coles, D. 1956 J. Fluid Mech. 1, 191.
Coles, D. 1969 Proc. Afosr-IFP Conf. on Computation of Turbulent Boundary Layers, Stanford University, vol. 2 (ed D. Coles and E. Hirst).
Demetriades, A. 1968a J. Fluid Mech. 34, 465.
Demetriades, A. 19683 Phys. Fluids, 11, 1841.
Doughman, E. L. 1972 Rev. Sci. Instr. 43, 1200.
Feller, W. V. 1973 A.I.A.A. J. 11, 556.
Hopkins, E. J. & Inouye, M. 1971 A.I.A.A. J. 9, 993.
Kane, E. D. & Maslaoh, G. I. 1950 N.A.C.A. Tech. Note, no. 2210.
Kemp, J. H. & Owen, F. K. 1972 N.A.S.A. Tech. Note, D-6965.
Kistler, A. L. 1959 Phys. Fluid, 2, 290.
Kistler, A. L. & Chen, W. S. 1963 J. Fluid Mech. 16, 41.
Klebanoff, P. S. 1955 N.A.C.A. Tech. Rep. no. 1247.
Kovasznay, L. S. G. 1950 J. Aero. Sci. 17, 565.
Kovasznay, L. S. G. 1953 J. Aero. Sci. 20, 657.
Laufer, J. 1964 Phys. Fluids, 7, 1191
Laufer, J. 1968 N.A.S.A. Special Paper, no. 216.
Lee, R. E., Yanta, W. S. & Zeonas, A. C. 1969 Naval Ordnance Lab. Rep. TR 69106.
Maise, G. & Mcdonald, H. 1968 A.I.A.A. J. 6, 73.
Mathews, M. L. 1958 Guggenheim Aero. Lab. California Institute of Technology, Hypersonic Res. Memo. no. 44.
Morkovin, M. V. 1956 Agardograph, no. 24.
Morkovin, M. V. 1962 La Mécanipue de la Turbulence, p. 367. Paris: C.R.N.S.
Morkovin, M.V. & Phinney, R.E. 1958 Johns Hopkins University Rep. Afosr TN-58–469.
Rogers, K. W., Wainwright, J. B. & Touryan, K. J. 1966 Rarefied Gas Dynamics, vol. 2, suppl. 3 (ed. J. H. DeLeeuw), p. 151. Academic.
Van Driest, E.R. 1951 J. Aero. Sci. 18, 145.
Walz, A. 1962 La Mécanique de la Turbulence, p. 399. Paris: C.N.R.S.