Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-16T19:31:38.419Z Has data issue: false hasContentIssue false
  • English
  • Français

Assessment of local isotropy using measurements in a turbulent plane jet

Published online by Cambridge University Press:  21 April 2006

R. A. Antonia ,
F. Anselmet  and
A. J. Chambers
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
F. Anselmet
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
A. J. Chambers
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

Following a review of the difficulties associated with the measurement and interpretation of statistics of the small-scale motion, the evidence for and against local isotropy is assessed in the light of measurements in a turbulent plane jet at moderate values of the Reynolds and Péclet numbers. These measurements include spatial derivatives with respect to different spatial directions of the longitudinal velocity fluctuation and of the temperature fluctuation. Relations between mean-square values of these derivatives suggest strong departures from local isotropy for both velocity and temperature. In contrast, the locally isotropic forms of the vorticity and temperature dissipation budgets are approximately satisfied. Possible contamination of the fine-scale measurements by the anisotropic large-scale motion is assessed in the context of the measured structure functions of temperature and of the measured skewness of the streamwise derivative of temperature. Structure functions are, within the framework of local isotropy, consistent with the average frequency and amplitude of temperature signatures that characterize the quasi-organized large-scale motion. Conditional averages associated with this motion account, in an approximate way, for the skewness of the temperature derivative but make negligible contributions to the skewness of velocity derivatives. The degree of spatial organization of the fine structure is inferred from conditional statistics of temperature derivatives.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 163 , February 1986 , pp. 365 - 391
Copyright
© 1986 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

Anselmet, F. 1983 Intermittence Interne de la Turbulence Pleinement DeAveloppeAe: Calcul de Fonctions de Structure d'Ordres EleveAs et Applications a la Combustion. TheGse Docteur IngeAnieur, Institut National Polytechnique de Grenoble.
Anselmet, F. & Antonia, R. A. 1985 Phys. Fluids 28, 1048–1054.
Antonia, R. A. & Browne, L. W. B. 1983 J. Fluid Mech. 134, 67–83.
Antonia, R. A., Browne, L. W. B. & Chambers, A. J. 1984 Phys. Fluids 27, 2628–2631.
Antonia, R. A., Browne, L. W. B. & Chambers, A. J. 1985 Phys. Fluids 28, 420–423.
Antonia, R. A., Browne, L. W. B., Chambers, A. J. & Rajagopalan, S. 1983a Intl J. Heat Mass Transfer 26, 41–48.
Antonia, R. A., Browne, L. W. B., Rajagopalan, S. & Chambers, A. J. 1983b J. Fluid Mech. 134, 49–66.
Antonia, R. A., Chambers, A. J., Britz, D. & Browne, L. W. B. 1986 J. Fluid Mech. [submitted].
Antonia, R. A., Chambers, A. J. & Browne, L. W. B. 1983c Expts in Fluids 1, 213–219.
Antonia, R. A., Phan-Thien, N. & Chambers, A. J. 1980 J. Fluid Mech. 100, 193–208.
Antonia, R. A., Satyaprakash, B. R. & Hussain, A. K. M. F. 1982 J. Fluid Mech. 119, 55–89.
Antonia, R. A. & Van Atta, C. W. 1978 J. Fluid Mech. 84, 561–580.
Batchelor, G. K. & Townsend, A. A. 1947 Proc. R. Soc. Lond. A 190, 534–550.
Bradshaw, P. 1967 Aero. Rep. 1220 ARC28664 FM3798, National Physical Laboratory, London.
Bradshaw, P. 1969 Rep. RM3603, Ministry of Technology Aeronautical Research Council, London.
Browne, L. W. B., Antonia, R. A. & Chambers, A. J. 1983b Boundary-Layer Met. 27, 129–140.
Browne, L. W. B., Antonia, R. A. & Rajagopalan, S. 1983a J. Phys. Fluids 26, 1222–1227.
Budwig, R., Tavoularis, S. & Corrsin, S. 1985 J. Fluid Mech. 153, 441–460.
Cervantes De Gortari, J. & Goldschmidt, V. W. 1981 Trans. ASME I: J. Fluids Engng 103, 119–126
Champagne, F. H. 1978 J. Fluid Mech. 86, 67–108.
Champagne, F. H., Friehe, C. A., Larue, J. C. & Wyngaard, J. C. 1977 J. Atmos. Sci. 34, 515–530.
Champagne, F. H., Harris, V. G. & Corrsin, S. 1970 J. Fluid Mech. 41, 81–139.
Corrsin, S. 1963 Handbuch der Physik V111/2 (ed. S. Flugge & C. Truesdell), pp. 524–590. Springer.
Everitt, K. W. & Robins, A. G. 1978 J. Fluid Mech. 88, 563–583.
Frenkiel, F. N. & Klebanoff, P. S. 1975 Boundary-Layer Met. 8, 173–200.
Fulachier, L. & Antonia, R. A. 1983 Intl Comm. Heat Mass Transfer 10, 435–439.
Gagne, Y. & Hopfinger, E. J. 1979 In Proc. 2nd Intl Turbulent Shear Flows Conference, Imperial College, London, 11.7–11.12.
Gibson, C. H., Friehe, C. A. & McConnell, S. 1977 Phys. Fluids 29, S156.
Goldschmidt, V. W., Moallemi, M. K. & Oler, J. W. 1983 Phys. Fluids 26, 428–432.
Gutmark, E. & Wygnanski, I. 1976 J. Fluid Mech. 73, 465–495.
Harris, V. G., Graham, J. A. H. & Corrsin, S. 1977 J. Fluid Mech. 81, 657–687.
Heskestad, G. 1965 Trans. ASME E: J. Appl. Mech. 87, 735
Jacquin, L. 1983 Etude de Comportement Intermittent de la Dissipation dans une Couche Limite aG Grand Nombre de Reynolds. TheGse Docteur 3eme Cycle, UniversiteA d'Aix-Marseille II.
Kerr, R. M. 1985 J. Fluid Mech. 153, 31–58.
Kolmogorov, A. N. 1941a C.R. Akad. Sci. USSR 30, 301–305.
Kolmogorov, A. N. 1941b Dokl. Akad. Nauk SSSR 32, 19–21.
Kuo, A. Y-S. & Cohrsin, S. 1971 J. Fluid Mech. 50, 285–320.
Kuo, A. Y-S. & Corrsin, S. 1972 J. Fluid Mech. 56, 447–479.
Lawn, C. J. 1971 J. Fluid Mech. 48, 477–505.
Lumley, J. L. 1965 Phys. Fluids 8, 1056–1062.
Mestayer, P. 1982 J. Fluid Mech. 125, 475–503.
Mestayer, P. & Chambaud, P. 1979 Boundary-Layer Met. 16, 311–329.
Mestayer, P., Chollet, J. P. & Lesieur, M. 1984 Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), pp. 285–288. North-Holland.
Monin, A. S. & Yaglom, A. M. 1975 Statistical Fluid Mechanics: Mechanics of Turbulence, Vol. II. MIT Press.
Nelkin, M. & Nakano, T. 1984 Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), pp. 319–323. North-Holland.
Oler, J. W. & Goldschmidt, V. W. 1981 In Proc. 3rd Symp. on Turbulent Shear Flows, Davis, 11.1–11.4.
Paranthoen, P., Petit, C. & Lecordier, J. C. 1982 J. Fluid Mech. 124, 457–473.
Schedvin, J., Stegen, G. R. & Gibson, C. H. 1974 J. Fluid Mech. 65, 561–579.
Sreenivasan, K. R., Antonia, R. A. & Britz, D. 1979 J. Fluid Mech. 94, 745–775.
Sreenivasan, K. R., Antonia, R. A. & Danh, H. Q. 1977 Phys. Fluids 20, 1238–1249.
Sreenivasan, K. R. & Tavoularis, S. 1980 J. Fluid Mech. 101, 783–795.
Subramanian, C. S. & Antonia, R. A. 1982 Phys. Fluids 25, 957–958.
Tavoularis, S. & Corrsin, S. 1981 J. Fluid Mech. 104, 349–367.
Taylor, R. J. 1958 Austral. J. Phys. 11, 168–176.
Tennekes, H. & Wynqaaed, J. C. 1972 J. Fluid Mech. 55, 93–103.
Van Atta, C. W. 1977a J. Fluid Mech. 80, 609–615.
Van Atta, C. W. 1977b Arch. Mech. 29, 161–171.
Verollet, E. 1977 Etude d'une Couche Limite Turbulente avec Aspiration et Chauffage aG la Paroi. Ph.D. Thesis, I.M.S.T., Marseille (Rapport CEA-R-1812, C.E.N. Saclay).
Wygnanski, I. & Fiedler, H. 1969 J. Fluid Mech. 38, 577–612.
Wyngaard, J. C. 1968 J. Sci. Iustrum. 1, 1105–1108.
Wyngaard, J. C. 1969 J. Sci. Instrum. 2, 983–987.
Wyngaard, J. C. 1971a Phys. Fluids 14, 2052.
Wyngaard, J. C. 1971b J. Fluid Mech. 48, 763–769.
Wyngaard, J. C. & Clifford, S. F. 1977 J. Atmos. Sci. 34, 922–929.
Wyngaard, J. C. & Tennekes, H. 1970 Phys. Fluids 13, 1962–1969.
Yaglom, A. M. 1949 Dokl. Akad. Nauk SSSR 69, 743–746.
Yaglom, A. M. 1981 Izv. Atmos. Ocean. Phys. 17, 919–935.