Three-component vorticity measurements in a turbulent grid flow

Journal of Fluid Mechanics

Volumn 374, Issue , 1998, Pages 29-57

  Antonia, R A ^a   Zhou, T ^a   Zhu, Y ^a,b  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FLUCTUATING VORTICITY VECTOR; TURBULENT GRID FLOW;

ENERGY DISSIPATION; FLOW MEASUREMENT; REYNOLDS NUMBER; VORTEX FLOW;

TURBULENT FLOW;

EID: 0032202268     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098002547     Document Type: Article

References (75)

1. ANSELMET, F. & ANTONIA, R. A. 1985 Joint statistics between temperature and its dissipation in a turbulent jet. Phys. Fluids 28, 1048-1051.
2. ANSELMET, F. GAGNE, Y., HOPFINGER, E. J. & ANTONIA, R. A. 1984 High-order velocity structure functions in turbulent shear flows. J. Fluid Mech. 140, 63-89.
3. ANTONIA, R. A., BROWNE, L. W. B. & SHAH, D. H. 1988 Characteristics of vorticity fluctuations in a turbulent wake. J. Fluid Mech. 189, 349-365.
4. ANTONIA, R. A. & KIM, J. 1994 A numerical study of local isotropy of turbulence. Phys. Fluids A 6, 834-841.
5. ANTONIA, R. A. & PEARSON, B. R. 1997 Scaling exponents for turbulent velocity and temperature increments. Europhys. Lett. 40, 123-128.
6. ANTONIA, R. A., RAJAGOPALAN, S. & ZHU, Y. 1996a Scaling of mean square vorticity in turbulent flows. Expts. Fluids 20, 393-394.
7. 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.
8. ANTONIA, R. A., ZHU, Y. & SHAFI, H. S. 1996b Lateral vorticity measurements in a turbulent wake. J. Fluid Mech. 323, 173-200.
9. ARNEODO, A., BAUDET, C., BELIN, F. et al. 1996 Structure functions in turbulence, in various flow configurations, at Reynolds number between 30 and 5000, using extended self-similarity. Europhys. Lett. 34, 411-416.
10. BATCHELOR, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
11. BATCHELOR, G. K. & TOWNSEND, A. A. 1947 Decay of vorticity in isotropic turbulence. Proc. R. Soc. Lond. A 190, 534-550 (referred to herein as BT).
12. BATCHELOR, G. K. & TOWNSEND, A. A. 1948 Decay of isotropic turbulence in the initial period. Proc. R. Soc. Lond. A 193, 539-558.
13. BENZI, R., CILIBERTO, S., TRIPICCIONE, R., BAUDET, C., MASSAIOLI, F. & SUCCI, S. 1993 Extended self-similarity in turbulent flows. Phys. Rev. E 48, R29-R32.
14. BORATAV, O. N. 1997 On longitudinal and lateral moment hierarchy in turbulence. Phys. Fluids 9, 3120-3122.
15. BORATAV, O. N. & PELZ, R. B. 1997 Structures and structure functions in the inertial range of turbulence. Phys. Fluids 9, 1400-1415.
16. 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.
17. CAMUSSI, R. & BENZI, R. 1997 Hierarchy of transverse structure functions. Phys. Fluids 9, 257-259.
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. COMTF-BELLOT, G. & CORRSIN, S. 1966 The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25, 657-682.
21. COMTF-BELLOT, G. & CORRSIN, S. 1971 Simple Eulerian time correlation of full- and narrow-band velocity signals in grid-generated, 'isotropic' turbulence. J. Fluid Mech. 48, 273-337.
22. CORRSIN, S. & KISTLER, A. L. 1954 The free-stream boundaries of turbulent flows. NACA TN 3133.
23. DHRUVA, B., TSUJI, Y. & SREENIVASAN, K. R. 1997 Transverse structure functions in high-Reynolds-number turbulence. Phys. Rev. E 56, R4928-R4930.
24. FAN, M. 1991 Features of vorticity in fully turbulent flows. PhD Thesis, Yale University.
25. Foss, J. F. & HAW, R. C. 1990 Transverse vorticity measurements using a compact array of four sensors. In Symposium on Thermal Anemometry (ed. D. E. Stock, S. A. Sherif & A. J. Smits). ASME-FED Vol. 97. pp. 71-76.
26. FRISCH, U. 1995 Turbulence. The Legacy of A. N. Kolmogorov. Cambridge University Press.
27. GROSSMAN, S., LOHSE, D. & REEH, A. 1997 Different intermittency for longitudinal and transversal turbulent fluctuations, Phys. Fluids 9, 3817-3825.
28. 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.
29. 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.
30. JIMENEZ, J., WRAY, A., SAFFMAN, P. G. & ROGALLO, R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
31. KAHALERRAS, H. 1997 Etude experimentale de la profondeur de la cascade de l'intermittence. PhD Thesis, Université Joseph Fourier, Grenoble.
32. 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.
33. KÁRMÁN, T. VON 1937 The fundamentals of the statistical theory of turbulence. J. Aero. Sci. 4, 131-138.
34. KÁRMÁN, T. VON & HOWARTH, L. 1938 On the statistical theory of isotropic turbulence. Proc. R. Soc. Lond. A 164, 192-215.
35. KAWALL, J. G., SHOKR, M. & KEFFER, J. F. 1983 A digital technique for the simultaneous measurement of streamwise and lateral velocities in turbulent flows. J. Fluid Mech. 133, 83-112.
36. KERR, R. M. 1985 High-order derivative correlations and the alignments of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31-58.
37. KIDA, S. & OHKITANI, K. 1992 Spatiotemporal intermittency and instability of a forced turbulence. Phys. Fluids A 4, 1018-1027.
38. KIM, J. & ANTONIA, R. A. 1993 Isotropy of the small scales of turbulence at low Reynolds number. J. Fluid Mech. 251, 219-238.
39. KISTLER, A. L. 1952 The vorticity meter. MS Thesis, Johns Hopkins University.
40. KIT, E., TSINOBER, A., TEITEL, M., BALINT, J. L., WALLACE, J. M. & LEVICH, E. 1988 Vorticity measurements in turbulent grid flows. Fluid Dyn. Res. 3, 289-294.
41. KLINE, S. J. & MCCLINTOCK, F. A. 1953 Describing uncertainty in single-sample experiments. Mech. Engng, January.
42. KOLMOGOROV, A. N. 1941 The local structure of turbulence in an incompressible fluid with very large Reynolds numbers. Dokl. Akad. Nauk. SSSR 30, 301 (referred to herein as K41).
43. KOLMOGOROV, A. N. 1962 A refinement of previous hypothesis concerning the local structure of turbulence in viscous incompressible fluid at high Reynolds numbers. J. Fluid Mech. 13, 82-85 (referred to herein as K62).
44. LEMONIS, G. C. 1995 An experimental study of the vector fields of velocity and vorticity in turbulent flows. PhD Thesis, Swiss Federal Institute of Technology, Zurich.
45. LESIEUR, M. 1997 Turbulence in Fluids, Third Edn. Kluwer.
46. MOFFAT, R. J. 1985 Using uncertainty analysis in the planning of an experiment. Trans. ASME I: J. Fluids Engng 107, 173-178.
47. MOFFAT, R. J. 1988 Describing the uncertainties in experimental results. Exptl Thermal Fluid Sci. 1, 3-17.
48. MOHAMED, M. S. & LARUE, J. C. 1990 The decay power law in grid-generated turbulence. J. Fluid Mech. 219, 195-214.
49. MONIN, A. S. & YAGLOM, A. M. 1975 Statistical Fluid Mechanics, Vol. 2. MIT Press.
50. MYDLARSKI, L. & WARHAFT, Z. 1996 On the onset of high-Reynolds-number grid-generated turbulence. J. Fluid Mech. 320, 331-368 (referred to herein as MW).
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. 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.
53. PEARSON, B. R. & ANTONIA, R. A. 1997 Velocity structure functions in a turbulent plane jet. Proc. Eleventh Turbulent Shear Flow Conference, Grenoble, pp. 3-117-3-121.
54. RUETSCH, G. R. & MAXEY, M. R. 1991 Small-scale features of vorticity and passive scalar fields in homogeneous isotropic turbulence. Phys. Fluids A 3, 1587-1597.
55. SHE, Z. S., JACKSON, E. & ORSZAG, S. A. 1990 Intermittent vortex structures in homogeneous isotropic turbulence. Nature 344, 226-228.
56. SHE, Z. S. & LEVEQUE, E. 1994 Universal scaling laws in fully developed turbulence. Phys. Rev. Lett. 72, 336-339 (referred to herein as SL).
57. SREENIVASAN, K. R. 1984 On the scaling of the turbulent energy dissipation rate. Phys. Fluids 27, 1048-1051.
58. SREENIVASAN, K. R. 1996 The passive scalar spectrum and the Obukhov-Corrsin constant. Phys. Fluids 8, 189-196.
59. SREENIVASAN, K. R. & ANTONIA, R. A. 1997 The phenomenology of small-scale turbulence. Ann. Rev. Fluid Mech. 29, 435-472.
60. STOLOVITZKY, G. & SREENIVASAN, K. R. 1993 Scaling of structure functions. Phys. Rev. E 48, R33-R36.
61. TAYLOR, G. I. 1938 Production and dissipation of vorticity in a turbulent fluid. Proc. R. Soc. Lond. A 164, 15-23.
62. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
63. TSINOBER, A KIT, E. & DRACOS, T. 1992 Experimental investigation of the field of velocity gradients in turbulent flows. J. Fluid Mech. 242, 169-192 (referred to herein as TKD).
64. TUTU, N. K. & CHEVRAY, R. 1975 Cross-wire anemometry in high intensity turbulence. J. Fluid Mech. 71, 785-800.
65. 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.
66. VAN ATTA, C. W. & CHEN, W. 1969 Measurements of spectral energy transfer in grid turbulence. J. Fluid Mech. 38, 743-763.
67. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
68. 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.
69. WALLACE, J. M. 1986 Methods of measuring vorticity in turbulent flows. Exps. Fluids 4, 61-71.
70. WALLACE, J. M. & Foss, J. F. 1995 The measurements of vorticity in turbulent flows. Ann. Rev. Fluid Mech. 27, 467-514.
71. WYNGAARD, J. C. 1971 The effect of velocity sensitivity on temperature derivative statistics in isotropic turbulence. J. Fluid Mech. 48, 763-769.
72. YAMAMOTO, K. & HOSOKAWA, I. 1988 A decaying isotropic turbulence pursued by the spectral method. J. Phys. Soc. Japan 57, 1532-1535.
73. ZHU, Y. & ANTONIA, R. A. 1995 Effect of wire separation on X-probe measurements in a turbulent flow. J. Fluid Mech. 287, 199-223.
74. ZHU, Y. & ANTONIA, R. A. 1996 Spatial resolution of a 4-X-wire vorticity probe. Meas. Sci. Technol. 7, 1492-1497.
75. ZHU, Y. & ANTONIA, R. A. 1997 Correlation between the enstrophy and the energy dissipation rate in a turbulent wake. Appl. Sci. Res. 57, 337-347.