The passive scalar spectrum and the Obukhov-Corrsin constant

Physics of Fluids

Volumn 8, Issue 1, 1996, Pages 189-196

  Sreenivasan, Katepalli R ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002964013     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868826     Document Type: Article

References (67)

1. A. N. Kolmogorov, "The local structure of turbulence in an incompressible fluid at very high Reynolds numbers," Dokl. Akad. Nauk SSSR 30, 299 (1941).
2. K. R. Sreenivasan, "On the universality of the Kolmogorov constant," Phys. Fluids 7, 2778 (1995).
3. A. M. Obukhov, "The structure of the temperature field in a turbulent flow," Izv. Akad. Nauk. SSSR, Ser. Geogr. and Geophys. 13, 58 (1949).
4. S. Corrsin, "On the spectrum of isotropic temperature fluctuations in isotropic turbulence," J. Appl. Phys. 22, 469 (1951).
5. H. Tennekes and J. L. Lumely, A First Course in Turbulence (M.I.T., Cambridge, 1972).
6. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics, Vol. 2 (M.I.T. Press, Cambridge, 1975).
7. M. Yaglom, "Laws of small-scale turbulence in atmosphere and ocean (in commemoration of the 40th anniversary of the theory of locally isotropic turbulence)," Izv. Atm. Ocean. Phys. 17, 919 (1981).
8. H. A. Panofsky, "The spectrum of temperature," Radio Sci. 4, 1143 (1969).
9. S. Pond, S. D. Smith, P. F. Hamblin, and R. W. Stewart, "Spectra of velocity and temperature fluctuations in the atmospheric boundary layer over the sea," J. Atmos. Sci. 23, 376 (1966)
10. C. H. Gibson, G. R. Stegen, and R. B. Williams, "Statistics of the fine slructure of lurbulent velocity and temperature fields at high Reynolds numbers," J. Fluid Mech. 41, 153 (1970).
11. J. E. Paquin and S. Pond, "The determination of the Kolmogoroff constants for velocity, temperature and humidity fluctuations from secondand third-order structure functions," J. Fluid Mech. 50, 257 (1971).
12. J. C. Kaimal, J. C. Wyngaard, Y. Izumi, and O. R. Cote, "Spectral characteristics of surface layer turbulence," Q. J. R. Met. Soc. 98, 563 (1972).
13. R. M. Williams and C. A. Paulson, "Microscale temperature and velocity spectra in the atmospheric boundary layer," J. Fluid Mech. 83, 547 (1977).
14. P. Mestayer. "Local isotropy and anisotropy in a high-Reynolds number turbulent boundary layer," J. Fluid Mech. 125, 475 (1982).
15. B. A. Kader, "Structure of anisotropic pulsations of the velocity and temperature in a developed turbulent boundary layer," Fluid Dyn. Sov. Res. 19, 38 (1984).
16. J. L. Lumley, "Interpretation of time spectra measured in high-intensity shear flows," Phys. Fluids 8, 1056 (1965).
17. G. Heskestad, "A generalized Taylor hypothesis with application for high Reynolds number turbulent flows," J. Appl. Mech. Trans. ASME Ser. E 32, 735 (1965).
18. K. R. Sreenivasan, "On local isotropy of passive scalars in turbulent shear flows," Proc. R. Soc. London Ser. A 434, 165 (1991).
19. A. L. Kistler, V. O'Brien, and S. Corrsin, "Preliminary measurements of turbulence and temperature fluctuations behind a heated grid," NACA RM54D19, 1954.
20. A. L. Kistler, V. O'Brien, and S. Corrsin, "Double and triple correlations behind a heated grid," J. Aero. Sci. 23, 96 (1956).
21. R. R. Mills, A. L. Kistler, V. O'Brien, and S. Corrsin, "Turbulence and temperature fluctuations behind a heated grid," NACA Tech. Note 4288, 1958.
22. T. T. Yeh and C.W. Van Atta, "Spectral transfer of scalar and velocity fields in heated-grid turbulence," J. Fluid Mech. 58, 233 (1973).
23. P. Sepri, "Two-point turbulence measurements downstream of a heated grid," Phys. Fluids 19. 1876 (1976).
24. K. S. Venkataramani and R. Chevray, "Statistical features of heat transfer in grid-generated turbulence. Constant-gradient case," J. Fluid Mech. 86, 513 (1978).
25. K. R. Sreenivasan, S. Tavoularis, R. Henry, and S. Corrsin, "Temperature fluctuations and scales in grid-generated turbulence," J. Fluid Mech. 100, 597 (1980).
26. S. Tavoularis and S. Corrsin, "Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. Part 1," J. Fluid Mech. 104, 311 (1981).
27. K. R. Sreenivasan, S. Tavoularis, and S. Corrsin, "A test for gradient transport model and its generalizations," in Turbulent Shear Flows 3, edited by L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, and J. H. Whitelaw (Springer-Verlag, Berlin, 1982), p. 96.
28. Z. Warhaft and J. L. Lumley, "An experimental study of the decay of temperature fluctuations in grid generated turbulence," J. Fluid Mech. 88, 659 (1978).
29. A. Sirivat and Z. Warhaft, "The effect of passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence," J. Fluid Mech. 128, 323 (1983).
30. R. M. Kellogg, "Evolution of a spectrally local disturbance in a gridgenerated turbulent flow," Ph.D. thesis, Johns Hopkins University, Baltimore, 1965.
31. R. M. Kellogg and S. Corrsin, "Evolution of a spectrally local disturbance in grid-generated, nearly-isotropic turbulence." J. Fluid Mech. 96, 641 (1980).
32. S. C. Lin and S. C. Lin, "Study of strong temperature mixing in subsonic grid turbulence," Phys. Fluids. 16, 1587 (1973).
33. C. H. Gibson and W. H. Schwarz, "The universal equilibrium spectra of turbulent velocity and scalar fields," J. Fluid Mech. 16, 365 (1963).
34. Jayesh, C. Tong, and Z. Warhaft, "On temperature spectra in grid turbulence," Phys. Fluids 6, 306 (1994).
35. K. R. Sreenivasan, R. A. Antonia, and H. Q. Danh, "Temperature dissipation fluctuations in a turbulent boundary layer," Phys. Fluids 20, 1238 (1977).
36. J. Laufer, "The structure of turbulence in fully developed pipe flow," NACA Tech. Rep. 1174, 1954.
37. F. H. Champagne, Y. H. Pao, and I. Wygnanski, "On the two-dimensional mixing region," J. Fluid Mech. 74, 209 (1974).
38. P. S. Klebanoff, "Characteristics of turbulence in a boundary layer with zero pressure gradient," NACA TR 1247, 1955.
39. G. Comte-Bellot, "Turbulent flow between two parallel walls," Aero. Res. Counc. Rep. 31, 609, FM4102, 1969.
40. S. G. Saddoughi and S. V. Veeravalli, "Local isotropy and anisotropy in a high-Reynolds number turbulent boundary layer," J. Fluid Mech, 268, 333 (1994).
41. M. M. Gibson, "Spectra of turbulence in a round jet," J. Fluid Mech. 15, 161 (1963).
42. H. L. Grant and A. Moilliet, "The spectrum of cross-stream component of turbulence," J, Fluid Mech. 13, 237 (1962).
43. K. W. Everitt and A. G. Robins, "The development and structure of turbulent plane jets," J. Fluid Mech. 88, 563 (1978).
44. R. W. Stewart and A. A. Townsend, "Similarity and self-preservation in isotropic turbulence," Philos. Trans. R. Soc. A 243, 359 (1951).
45. S. Corrsin, "Local isotropy in turbulent shear flow," NACA RM 58B11, 1958.
46. A. G. L. Holloway and S. Tavoularis, "Scaling and structure of turbulent eddies in curved shear flows," in Turbulent Shear Flows 8, edited by F. Durst, R. Friedrich, B. E. Launder, F. W. Schmidt, U. Schumann, and J. H. Whitelaw (Springer, New York, 1992), p. 383.
47. K. R. Sreenivasan, "Fractals and multifractals in fluid turbulence," Annu. Rev. Fluid Mech. 23, 539 (1991).
48. J. C. R. Hunt and J. C. Vassilicos, "Kolmogorov's contributions to the physical and geometrical understanding of small-scale turbulence and recent developments," Proc. R. Soc. London Ser. A 434, 183 (1991).
49. K. R. Sreenivasan, R. A. Antonia, and D. Britz, "Local isotropy and large structures in a heated turbulent jet," J. Fluid Mech. 94, 745 (1979).
50. F. H. Champagne, C. A. Friehe, J. C. LaRue, and J. C. Wyngaard, "Flux measurements, flux estimation techniques, and fine scale turbulence measurements in the unstable surface layer over land." J. Atmos. Sci. 34, 515 (1977).
51. M. Lesieur and R. S. Rogallo, "Large-eddy simulation of passive scalar diffusion in isotropic turbulence," Phys. Fluids A 1, 718 (1989).
52. J. Lanza and W. H. Schwarz, "The scalar spectrum for the equilibrium range of wavenumbers," unpublished report, Johns Hopkins University, 1966.
53. L. R. Tsvang, "Measurements of turbulent heat fluxes and the spectra of temperature fluctuations," Trudy In-ta Fiz. Atmosf. Akad. Nauk SSSR 4, 137 (1962).
54. A. S. Gurvich and S. L. Zubkhovskii, "Estimate of the structure function of temperature fluctuation in the atmosphere," Izv. Akad. Nauk. SSSR Fiz. Atmosf. Okeana 2, 202 (1966).
55. V. I. Tatarski, "Microstructure of the temperature field in the atmospheric surface layer," Izv. Akad. Nauk. SSSR Ser. Geophiz. 6, 689 (1956).
56. E. J. Plate and S. P. Arya, "Turbulence spectra in a stably stratified boundary layer," Radio Sci. 4, 1163 (1969).
57. N. K. Vinnichenko and J. A. Dutton, "Empirical studies of atmospheric structure and spectra in the free atmosphere," Radio Science 4, 1115 (1969).
58. L. Sirovich, R. Everson and D. Manin, "Turbulent spectrum of the earth's ozone field," Phys. Rev. Lett. 74, 2611 (1995).
59. N. E. J. Boston and R. W. Burling, "An investigation of high wavenumber temperature and velocity spectra in air," J. Fluid Mech. 55, 473 (1972).
60. E. F. Bradley, R. A. Antonia, and A. J. Chambers, "Temperature structure in the atmospheric surface layer. I. The budget of temperature variance," Boundary-Layer Meteorol. 20, 275 (1981).
61. R.A. Antonia, "Influence of velocity sensitivity on the statistics of small scale temperature fluctuations," Phys. Fluids 18, 1584 (1975).
62. J. C. Wyngaard and O. R. Cote, "The budgets of turbulent kinetic energy and temperature variance in the atmospheric surface layer," J. Atmos. Sci. 28, 190 (1971).
63. J. C. Wyngaard and H. Tennekes, "Measurements of the small-scale structure of turbulence at moderate Reynolds numbers," Phys. Fluids 13, 1962 (1970).
64. H. L. Grant, B. A. Hughes, W. M. Vogel, and A. Moilliet, "The spectrum of temperature fluctuations in turbulent flow," J. Fluid Mech. 34, 423 (1968).
65. E. F. Bradley, R. A. Antonia, and A. J. Chambers, "Turbulence Reynolds number and the turbulent kinetic energy balance in the atmospheric surface layer," Boundary-Layer Meteorol. 21, 183 (1981).
66. K. F. Schmitt, C. A. Friehe, and C. H, Gibson, "Humidity sensitivity of atmospheric temperature sensors by salt contamination," J. Phys. Ocenogr. 1, 151 (1978).
67. J. Bashir and M. S. Uberoi, "Experiments of turbulence structure and heat transfer in a two-dimensional jet," Phys. Fluids 18, 405 (1975).