Reynolds number dependence of the small-scale structure of grid turbulence

Journal of Fluid Mechanics

Volumn 406, Issue , 2000, Pages 81-107

  Zhou, T ^a   Antonia, R A ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

GRID; REYNOLDS NUMBER; TURBULENCE; VELOCITY MEASUREMENT;

EID: 0033939101     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007296     Document Type: Article

References (72)

1. ANSELMET, F., GAGNE, Y., HOPFINGER, E. J. & ANTONIA, R. A. 1984 Higher-order velocity structure functions in turbulent shear flows. J. Fluid Mech. 140, 63-89.
2. ANTONIA, R. A. & KIM, J. 1994 A numerical study of local isotropy of turbulence. Phys. Fluids A 6, 834-841.
3. ANTONIA, R. A., PHAN-THIEN, N. & SATYAPRAKASH, B. R. 1981 Autocorrelation and spectrum of dissipation fluctuations in a turbulent jet. Phys. Fluids 24, 554-555.
4. ANTONIA, R. A., SATYAPRAKASH, B. R. & HUSSAIN, A. K. M. F. 1982 Statistics of fine scale velocity in turbulent plane and circular jet. J. Fluid Mech. 119, 55-89.
5. ANTONIA, R. A., ZHOU, T. & ZHU, Y. 1998 Three-component vorticity measurements in a turbulent grid flow. J. Fluid Mech. 374, 29-57.
6. ANTONIA, R. A., ZHU, Y. & KIM, J. 1993 On the measurement of lateral velocity derivatives in turbulent flows. Exps. Fluids 15, 65-69.
7. ANTONIA, R. A., ZHU, Y. & SHAFI, H. S. 1996 Lateral vorticity measurements in a turbulent wake. J. Fluid Mech. 323, 173-200.
8. BATCHELOR, G. K. 1951 Pressure fluctuations in isotropic turbulence. Proc. Camb. Phil. Soc. 47, 359-374.
9. BATCHELOR, G. K. & TOWNSEND, A. A. 1947 Decay of vorticity in isotropic turbulence. Proc. R. Soc. Lond. A 190, 534-550.
10. BENZI, R., CILIBERTO, S., TRIPICCIONE, R., BAUDET, C., MASSAIOLI, F. & SUCCI, S. 1993 Extended self-similarity in turbulent flows. Phys. Rev. E 48, R29-32.
11. BORATAV, O. N. & PELZ, R. B. 1997 Structures and structure functions in the inertial range of turbulence. Phys. Fluids 9, 1400-1415.
12. BROWNE, L. W. B., ANTONIA, R. A. & CHUA, L. P. 1989 Calibration of X-probe for turbulent flow measurement. Exps. Fluids 7, 201-208.
13. CAMUSSI, R., BARBAGALLO, D., GUJ, G. & STELLA, F. 1996 Transverse and longitudinal scaling laws in non-homogeneous low Re turbulence. Phys. Fluids 8, 1181-1191.
14. CAMUSSI, R. & BENZI, R. 1997 Hierarchy of transverse structure functions. Phys. Fluids 9, 257-259.
15. z in grid-generated turbulence. Exps. Fluids 20, 199-209.
16. CERUTTI, S. R. & MENEVEAU, C. 1998 Intermittency and relative scaling of subgrid-scale energy dissipation in isotropic turbulence. Phys. Fluids 10, 928-937.
17. θ. Boundary-Layer Met. 28, 343-352.
18. CHEN, S., SREENIVASAN, K. R. & NELKIN, M. 1997a Inertial range scalings of dissipation and enstrophy in isotropic turbulence. Phys. Rev. Lett. 79, 1253-1256.
19. CHEN, S., SREENIVASAN, K. R., NELKIN, M. & CAO, N. 1997b A refined similarity hypothesis for transverse structure functions. Phys. Rev. Lett. 79, 1253.
20. DANAILA, L., ANSELMET, F., ZHOU, T. & ANTONIA, R. A. 1999 A generalization of Yaglom's equation which accounts for the large-scale forcing in heated grid turbulence. J. Fluid Mech. 391, 359-372.
21. DHRUVA, B., TSUJI, Y. & SREENIVASAN, K. R. 1997 Transverse structure functions in high-Reynolds-number turbulence. Phys. Rev. E 56, R4928-R4930.
22. GIBSON, C. H. & MASIELLO, P. J. 1972 Observations of the variability of dissipation rates of turbulent velocity and temperature fields. In Statistical Models and Turbulence (ed. M. Rosenblatt & C. W. Van Atta), pp. 427-453. Springer.
23. GOTOH, T. & ROGALLO, R. S. 1994 Statistics of pressure and pressure gradient in homogeneous isotropic turbulence. Proc. of the Summer Program, Center for Turbulence Research, pp. 189-205.
24. GROSSMANN, S., LOHSE, D. & REEH, A. 1997 Different intermittency for longitudinal and transversal turbulent fluctuations. Phys. Fluids 9, 3817-3825.
25. HE, G., CHEN, S., KRAICHNAN, R. H., ZHANG, R. & ZHOU, Y. 1998 Statistics of dissipationand enstrophy induced by localized vortices. Phys. Rev. Lett. 81, 4636-4639.
26. HERWEIJER, J. A. & WATER, W. VAN DE 1995 Transverse structure functions of turbulence. In Advances in Turbulence V (ed. R. Benzi), pp. 210-216. Kluwer.
27. HIROTA, M., FUJITA, H. & YOKOSAWA, H. 1988 Influences of velocity gradient on hot-wire anemometry with an X-wire probe. J. Phys. E: Sci. Instrum. 21, 1077-1084.
28. HOSOKAWA, I., OIDE, S. & YAMAMOTO, K. 1996 Isotropic turbulence: important differences between true dissipation rate and its one-dimensional surrogate. Phys. Rev. Lett. 77, 4548-4551.
29. JIMENEZ, J., WRAY, A. A., SAFFMAN, P. G. & ROGALLO, R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
30. KAHALERRAS, H., MALECOT, Y. & GAGNE, Y. 1996 Transverse velocity structure functions in developed turbulence. In Advances in Turbulence VI (ed. S. Gavrilakis, L. Machiels & P. A. Monkewitz), pp. 235-238. Kluwer.
31. KÁRMÁN, T. VON & HOWARTH, L. 1938 On the statistical theory of isotropic turbulence. Proc. R. Soc. Lond. A 164, 192-215.
32. KAWALL, J. G., SHOKR, M. & KEFFER, J. F. 1983 A digital technique of the simultaneous measurement of streamwise and lateral velocities in turbulent flows. J. Fluid Mech. 133, 83-112.
33. KERR, R. M. 1985 Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31-58.
34. KIM, J. & ANTONIA, R. A. 1993 Isotropy of small scales of turbulence at low Reynolds number. J. Fluid Mech. 251, 219-238.
35. KISTLER, A. L. & VREBALOVICH, T. 1966 Grid turbulence at large Reynolds numbers. J. Fluid Mech. 26, 37-47.
36. KOLMOGOROV, A. N. 1941 The local structure of turbulence in an incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk. SSSR 30, 301-305.
37. KOLMOGOROV, A. N. 1962 A refinement of previous hypothesis concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13, 82-85.
38. KRAICHNAN, R. H. 1974 On Kolmogorov's inertial range theories. J. Fluid Mech. 62, 305-330.
39. KUO, A. K. & CORRSIN, S. 1971 Experiments on internal intermittency and fine-structure distribution functions in fully turbulent fluid. J. Fluid Mech. 50, 285-319.
40. LINDBORG, E. 1999 Correction to four-fifths law due to variations of the dissipation. Phys. Fluids 11, 510-512.
41. LOHSE, D. & MÜLLER-GVROELING, A. 1995 Bottleneck effects in turbulence: scaling phenomena in r versus p space. Phys. Rev. Lett. 74, 1747-1750.
42. L'VOV, V. S. & PROCACCIA, I. 1995 Correlations of velocity differences and energy dissipation as an element in the subcritical scenario for non-Kolmogorov scaling in turbulence. Europhys. Lett. 29, 291-296.
43. L'VOV, V. S. & PROCACCIA, I. 1996 The universal scaling of exponents of anisotropy in turbulence and their measurement. Phys. Fluids 8, 2565-2567.
44. MENEVEAU, C. & SREENIVASAN, K. R. 1991 The multifractal nature of turbulent energy dissipation, J. Fluid Mech. 224, 429-484.
45. MOFFAT, R. J. 1988 Describing the uncertainties in experimental results. Exptl Thermal Fluid Sci. 1, 3-17.
46. MOHAMED, M. S. & LARUE, J. C. 1990 The decay power law in grid-generated turbulence. J. Fluid Mech. 219, 195 214.
47. MONIN, A. S. & YAGLOM, A. M. 1975 Statistical Fluid Mechanics, vol. 2. MIT Press.
48. MYDLARSKI, L. & WARHAFT, Z. 1996 On the onset of high-Reynolds number grid-generated wind tunnel turbulence. J. Fluid Mech. 320, 331-368.
49. NELKIN, M. 1981 Do the dissipation fluctuations in high Reynolds number turbulence define a universal exponent? Phys. Fluids 24, 556-558.
50. NELKIN, M. 1999 Enstrophy and dissipation must have the same scaling exponent in the high Reynolds number limit of fluid turbulence. Phys. Fluids 11, 2202-2204.
51. NOULLEZ, A., WALLACE, G., LEMPERT, W., MILES, R. B. & FRISCH, U. 1997 Transverse velocity increments in turbulent flow using the RELIEF technique. J. Fluid Mech. 339, 287-307.
52. NOVIKOV, E. A. 1971 Intermittency and scale similarity in the structure of a turbulent flow. Appl. Math. Mech. 35, 231-241.
53. PARK, S. R. & WALLACE, J. M. 1993 The influence of instantaneous velocity gradients on turbulence properties measured with multi-sensor hot-wire probes. Exps. Fluids 16, 17-26.
54. PEARSON, B. R. & ANTONIA, R. A. 1997 Velocity structure functions in a turbulent plane jet. Proc. Eleventh Turbulent Shear Flow Conf., Grenoble, pp. 3-117-3-121.
55. PRASKOVSKY, A. & ONCLEY, S. 1994a Measurements of the Kolmogorov constant and intermittency exponent at very high Reynolds numbers. Phys. Fluids 6, 2886-2888.
56. PRASKOVSKY, A. & ONCLEY, S. 1994b Correlators of velocity differences and energy dissipation at very high Reynolds numbers. Europhys. Lett. 28, 635-640.
57. SADDOUGHI, S. G. & VEERAVALLI, S. V. 1994 Local isotropy in turbulent boundary layers at high Reynolds number. J. Fluid Mech. 268, 333-372.
58. SHAFI, H. S., ZHU, Y. & ANTONIA, R. A. 1996 Intermittency of vorticity in a turbulent shear flow. Phys. Fluids 8, 2245-2247.
59. SHE, S. Z. & LEVEQUE, E. 1994 Universal scaling laws in fully developed turbulence. Phys. Rev. Lett. 72, 336-339.
60. SIGGIA, E. D. 1981 Invariants for the one-point vorticity and strain rate correlation functions. Phys. Fluids 24, 1934-1936.
61. SREENIVASAN, K. R. 1995 On the universality of the Kolmogorov constant. Phys. Fluids 7, 2778-2784.
62. SREENIVASAN, K. R. & ANTONIA, R. A. 1997 The phenomenology of small-scale turbulence. Ann. Rev. Fluid Mech. 29, 435-473.
63. SREENIVASAN, K. R. & KAILASNATH, P. 1993 An update on the intermittency exponent in turbulence. Phys. Fluids A 5, 512-514.
64. STOLOVITZKY, G., SREENIVASAN, K. R. & JUNEJA, A. 1993 Scaling functions and scaling exponents in turbulence. Phys. Rev. E 48, R3217-R3220.
65. TATARSKII, V. I. 1971 The Effects of the Turbulent Atmosphere on Wave Propagation. Keter Press.
66. TSINOBER, A., KIT, E. & DRACOS, T. 1992 Experimental investigation of the field of velocity gradients in turbulent flows. J. Fluid Mech. 242, 169-192.
67. VAN ATTA, C. W. 1991 Local isotropy of the smallest scales of turbulent scalar and velocity fields. Proc. R. Soc. Lond. A 434, 139-147.
68. VAN ATTA, C. W. & YEH, T. T. 1975 Evidence for scale similarity of intermittency in turbulent flows at large Reynolds numbers. J. Fluid Mech. 71, 417-440.
69. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
70. VUKOSLAVCEVIC, 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.
71. YAGLOM, A. M. 1981 Laws of small-scale turbulence in atmosphere and ocean (in commemoration of the 40th anniversary of the theory of locally isotropic turbulence). Izv. Atmos. Oceanic Phys. 17, 919-935.
72. ZHU, Y. & ANTONIA, R. A. 1995 Effect of wire separation on X-probe measurements in a turbulent flow. J. Fluid Mech. 287, 199-223.