Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-21T19:01:15.605Z Has data issue: false hasContentIssue false
  • English
  • Français

Some measurements of the distortion of turbulence approaching a two-dimensional bluff body

Published online by Cambridge University Press:  29 March 2006

P. W. Bearman
P. W. Bearman
Affiliation:
Department of Aeronautics, Imperial College, London
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper describes an experimental study of the distortion of grid-generated turbulence as it approaches the stagnation region of a two-dimensional bluff body. When Lx/D [Gt ] 1, where Lx, is the scale of turbulence and D is a typical body dimension, along the mean stagnation streamline $(\overline{u^2})^{\frac{1}{2}$ attenuates like the mean flow, whereas if Lx/D [Lt ] 1 the turbulence is distorted by the mean flow field and $(\overline{u^2})^{\frac{1}{2}}$ will amplify because of vortex stretching. When Lx/D = O(1) there is found to be a combination of these effects with attenuation of energy at low wavenumbers and amplification at high wavenumbers. Measurements of the pressure fluctuations at the stagnation point show that at low wavenumbers the level of the pressure fluctuations can be predicted by a direct application of Bernoulli's equation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 3 , 13 June 1972 , pp. 451 - 467
Copyright
© 1972 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

Batchelor, G. K. 1953 The Theory of Homogeneow Turbulence. Cambridge University press.
Batchelor, G. K. & Proudman, I. 1954 Quart. J. Mech. AppZ. Math. 7, 83–103.
Bearman, P. W. 1971 J. Fluid Mech. 46, 177–198.
Hinze, J. O. 1959 Turbulence. McGraw-Hill.
Hunt, J. C. R. 1971a A theory of turbulent flow over bodies. To be published.
Hunt, J. C. R. 1971b Phil. Tram. Roy. Soc. A 269, 457–467.
Kestin, J. & Wood, R. T. 1970 J. Fluid Mech. 4, 461–479.
Keuthe, A. M., Willmarth, W. W. & Crocker, G. H. 1959 Phys. Fluids, 2, 714–716.
Marshall, R. D. 1968 Pressure fluctuation correlations near an axisymmetric stagnation point. Ph.D. thesis, Colorado State University.
Piercy, N. A. V. & Richardson, E. G. 1930 Phil. Mag. 9, 1038–1040.
Roshko, A. 1954 N.A.C.A. Tech. Note, no. 3168.
Sadeh, W. Z., Sutera, S. P. & Maeder, P. F. 1970a Z. angew. Math. Phys. 21, 699–716.
Sadeh, W. Z., Sutera, S. P. & Maeder, P. F. 1970b Z. angew. Math. Phys. 21, 717–742.
Sutera, S. P. 1965 J. Fluid Mech. 21, 513–534.
Sutera, S. P., Maeder, P. F. & Kestin, J. 1963 J. Fluid Mech. 16, 497–520.
Townsend, A. A. 1954 Quart. J. Mech. Appl. Math. 7, 104–127.
Tucker, H. J. & Reynolds, A. J. 1968 J. Fluid Mech. 32, 657–673.