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Characteristics of vorticity fluctuations in a turbulent wake

Published online by Cambridge University Press:  21 April 2006

R. A. Antonia ,
L. W. B. Browne  and
D. A. Shah
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
L. W. B. Browne
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
D. A. Shah
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
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Abstract

Measurements of the lateral components of the vorticity fluctuation have been made in the self-preserving turbulent wake of a circular cylinder. Each component was obtained separately using two X-wires separated in the appropriate lateral directions. The two velocity derivatives which make up the streamwise vorticity component were also determined but not simultaneously. An approximation to the streamwise vorticity was made from these measurements. Moments, probability density functions and spectra of the three vorticity components across the wake are presented and discussed. The high-wavenumber behaviour of the spectra is compared with calculations, based on local isotropy. Satisfactory agreement with the calculations is obtained for the lateral vorticity components over a significant high-wavenumber range. The approximated streamwise vorticity spectrum tends towards the isotropic calculation at very large wavenumbers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 189 , April 1988 , pp. 349 - 365
Copyright
© 1988 Cambridge University Press

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References

Antonia, R. A., Anselmet, F. & Chambers, A. J. 1986 Assessment of local isotropy using measurements in a turbulent plane jet. J. Fluid Mech. 163, 365–391.Google Scholar
Antonia, R. A. & Browne, L. W. B. 1986 Anisotropy of the temperature dissipation in turbulent wake. J. Fluid Mech. 163, 393–403.Google Scholar
Antonia, R. A., Browne, L. W. B., Bisset, D. K. & Fulachier, L. 1987a A description of the organized motion in the turbulent far-wake of a cylinder at low Reynolds number. J. Fluid Mech. 184, 423–444.Google Scholar
Antonia, R. A., Browne, L. W. B. & Chambers, A. J. 1984 On the spectrum of the transverse derivative of the streamwise velocity in a turbulent flow. Phys. Fluids 27, 2628–2631.Google Scholar
Antonia, R. A., Browne, L. W. B. & Fulachier, L. 1987b Average wavelength of organised structures in the turbulent far wake of a cylinder. Expts Fluids 5, 298–304.Google Scholar
Balint, J. L., Vukoslavĉević, P. & Wallace, J. M. 1987 A study of the vortical structure of the turbulent boundary layer. In G. Comte-Bellot & J. Mathieu (ed.), Advances in Turbulence, pp. 456–464. Berlin.
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Browne, L. W. B., Antonia, R. A. & Bisset, D. K. 1986 Coherent structures in the far field of a turbulent wake. Phys. Fluids 29, 3612–3617.Google Scholar
Browne, L. W. B., Antonia, R. A. & Rajagopalan, S. 1983 The spatial derivative of temperature in a turbulent flow and Taylor's hypothesis. Phys. Fluids 26, 1222–1227.Google Scholar
Browne, L. W. B., Antonia, R. A. & Shah, D. A. 1987 Turbulent energy dissipation in a wake. J. Fluid Mech. 179, 307–326.Google Scholar
Cimbala, J. M. 1985 An experimental study of large structures in the far wakes of two-dimensional bluff bodies. Proc. Fifth Symp. on Turbulent Shear Flows, Cornell University, New York, pp. 4.1–4.6.
Corrsin, S. 1964 Further generalization of Onsager's cascade model for turbulent spectra. Phys. Fluids 7, 1156–1159.Google Scholar
Corrsin, S. & Kistler, A. L. 1955 Free stream boundaries of turbulent flow. NACA Rep. 1244.
Eckelmann, H., Nychas, S. G., Brodkey, R. S. & Wallace, J. M. 1977 Vorticity and turbulence production in pattern recognised turbulent flow structures. Phys. Fluids 20, S225–S231.Google Scholar
Foss, J. F. 1979 Transverse vorticity measurements. In B. W. Hansen (ed.), Proc. of The Dynamic Flow Conference 1978, Skovlunde, pp. 983–1001.
Kastrinakis, E. G. & Eckelmann, H. 1983 Measurement of streamwise vorticity fluctuations in a turbulent channel flow. J. Fluid Mech. 137, 165–186.Google Scholar
Kistler, A. L. 1952 The vorticity meter. MS thesis, Johns Hopkins University.
Kovasznay, L. S. G. 1950 Q. Prog. Rep. of Aero. Dept. Contract NORD-8036-JHB-39. The Johns Hopkins University.
Kovasznay, L. S. G. 1955 Turbulence measurements. In Physical Measurements in Gas Dynamics and Combustion, p. 227. Oxford University Press.
Pao, Y. H. 1965 Structure of turbulent velocity and scalar fields at large wavenumbers. Phys. Fluids 8, 1063–1075.Google Scholar
Van Atta, C. W. 1979 Multi-channel measurements and high-order statistics. In B. W. Hansen (ed.), Proc. of The Dynamic Flow Conference 1978, Skovlunde, pp. 919–941.
Vukoslavĉević, P. & Wallace, J. M. 1981 Influence of velocity gradients on measurements of velocity and streamwise vorticity with hot-wire X-array probes. Rev. Sci. Instrum. 52, 869–879.Google Scholar
Wallace, J. M. 1986 Methods of measuring vorticity in turbulent flows. Expts Fluids 4, 61–71.Google Scholar
Wallace, J. M. & Vukoslavĉević, P. 1982 Measurement of the structure of the streamwise vorticity field in a turbulent boundary layer. In Z. P. Zaric (ed.), Structure of Turbulence in Heat and Mass Transfer, pp. 29–42. Hemisphere.
Willmarth, W. W. 1979 Nonsteady vorticity measurements: survey and new results. In B. W. Hansen (ed.), Proc. of The Dynamic Flow Conference 1978, Skovlunde, pp. 1003–1012.
Wyngaard, J. C. 1968 Measurement of small scale turbulence structure with hot wires. J. Phys. E: Sci. Instrum. 1, 1105–1108.Google Scholar
Wyngaard, J. C. 1969 Spatial resolution of the vorticity meter and other hot-wire arrays. J. Phys. E: Sci. Instrum. 2, 983–987.Google Scholar