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Measurements of scalar power spectra in high Schmidt number turbulent jets

  • Paul L. Miller (a1) (a2) and Paul E. Dimotakis (a1)

We report on an experimental investigation of temporal, scalar power spectra of round, high Schmidt number (Sc ≃ 1.9 × 103), momentum-dominated turbulent jets, for jet Reynolds numbers in the range of 1.25 × 104Re ≤ 7.2 × 104. At intermediate scales, we find a spectrum with a slope (logarithmic derivative) that increases in absolute value with Reynolds number, but remains less than 5/3 at the highest Reynolds number in our experiments. At the smallest scales, our spectra exhibit no k−1 power-law behaviour, but, rather, seem to be approximated by a log-normal function, over a range of scales exceeding a factor of 40, in some cases.

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Batchelor, G. K. 1959 Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity. J. Fluid Mech. 5, 113133.

Batchelor, G. K., Howells, I. D. & Townsend, A. A. 1959 Small-scale variation of convected quantities like temperature in turbulent fluid. Part 2. The case of large conductivity. J. Fluid Mech. 5, 134139.

Becker, H. A., Hottel, H. C. & Williams, G. C. 1967 The nozzle-fluid concentration field of the round turbulent, free jet. J. Fluid Mech. 30, 285303.

Champagne, F. H., Friehe, C. A., La Rue, J. C. & Wyngaard, J. C.1977Flux measurements, flux estimation techniques and fine scale turbulent measurements in the surface layer over land. J. Atmos. Sci.34, 515530.

Chapman, D. R.1979Computational aerodynamics development ond outlook. AIAA J.17, 12931313.

Corrsin, S.1951On the spectrum of isotropic temperature fluctuations in isotropic turbulence. J. Appl. Phys.22, 469473.

Dimotakis, P. E. & Miller, P. L.1990Some consequences of the boundedness of scalar fluctuations. Phys. FluidsA21919–1920.

Dowling, D. R. & Dimotakis, P. E. 1990 Similarity of the concentration field of gas-phase turbulent jets. J. Fluid Mech. 218, 109141.

Dowling, D. R., Lang, D. B. & Dimotakis, P. E.1989An improved laser-Rayleigh scattering photodetection system. Exps. Fluids7, 435440.

Gargett, A. E. 1985 Evolution of scalar spectra with the decay of turbulence in a stratified fluid. J. Fluid Mech. 159, 379407.

Gibson, C. H.1987Fossil turbulence and intermittency in sampling oceanic mixing processes. J. Geophys. Res.92, C5, 53835404.

Gibson, C. H.1991Kolmogorov similarity hypotheses for scalar fields: sampling intermittent turbulent mixing in ocean and galaxy. Proc. R. Soc. Lond. A 434, 149164.

Gibson, C. H. & Schwarz, W. H. 1963 The universal equilibrium spectra of turbulent velocity and scalar fields. J. Fluid Mech. 16, 365384.

Grant, H. L., Hughes, B. A., Vogel, W. M. & Moilliet, A.1968The spectrum of temperature fluctuations in turbulent flow. J. Fluid Mech.34, 424442.

Komori, S., Kanzaki, T., Murakami, Y. & Ueda, H.1989Simultaneous measurements of instantaneous concentrations of two species being mixed in a turbulent flow by using a combined laser-induced fluorescence and laser-scattering technique. Phys Fluids A 1, 349352.

Mestayer, P. 1982 Local isotropy and unisotropy in a high-Reynolds-number turbulent boundary layer. J. Fluid Mech. 125, 457503.

Miller, P. L. & Dimotakis, P. E.1991aStochastic geometric properties of scalar interfaces in turbulent jets. Phys Fluids A 3, 168177.

Miller, P. L. & Dimotakis, P. E.1991bReynolds number dependence of scalar fluctuations in a high Schmidt number turbulent jet. Phys. Fluids A 3, 11561163.

Nye, J. O. & Brodkey, R. S. 1967 The scalar spectrum in the viscous-convective subrange. J. Fluid Mech. 29, 151163

Oboukov, A. M. 1962 Some specific features of atmospheric turbulence. J. Fluid Mech. 13, 7781.

Perry, A. E. & Abbell, C. J. 1975 Scaling laws for pipe-flow turbulence. J. Fluid Mech. 67, 257271.

Saddoughi, S. G. & Veeravalli, S. V. 1994 Local isotropy in turbulent boundary layers at high Reynolds number. J. Fluid Mech. 268, 333372.

Shaughnessy, E. J. & Morton, J. B. 1977 Laser light-scattering measurements of particle concentration in a turbulent jet. J. Fluid Mech. 80, 129148.

Williams, R. N. & Paulson, C. A. 1978 Microscale temperature and velocity spectra in the atmospheric boundary layer. J. Fluid Mech. 83, 547567.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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