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Reynolds number influence on statistical behaviors of turbulence in a circular free jet
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10.1063/1.4811403
/content/aip/journal/pof2/25/7/10.1063/1.4811403
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/7/10.1063/1.4811403
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A schematic diagram of the experimental arrangement.

Image of FIG. 2.
FIG. 2.

Dependence on Re of the Kolmogorov frequency for / = 25 and that of the location at which = 9.2 kHz.

Image of FIG. 3.
FIG. 3.

Inflow conditions at / = 0.05 for different Re. (a) Normalized mean velocity, (b) turbulence intensity.

Image of FIG. 4.
FIG. 4.

Reynolds-number dependences of the displacement thickness () and momentum thickness () of the boundary layer at the jet exit.

Image of FIG. 5.
FIG. 5.

Streamwise variations of (a) / and (b) / for Re = 4050–20 100.

Image of FIG. 6.
FIG. 6.

Dependence on Re of the mean velocity decay and spread rates ( , ) as well as the local Reynolds number Re = 4 /. The best-fit curves of the present data for Re ≤ 10: ——, ; - - - -, . Note that the present data are plotted in solid symbols while those from Table I of Ref. are in open symbols.

Image of FIG. 7.
FIG. 7.

(a) Normalized streamwise RMS velocity distribution (⟨ / ) along the centerline and (b) Re dependence of the averaged value of over the range 20 ≤ / ≤ 30.

Image of FIG. 8.
FIG. 8.

Reynolds number dependent spectra of the centerline measured at / = 30. (a) ; (b) . Note that the spectra were corrected for the effects of finite hotwire length and measurement sampling rate.

Image of FIG. 9.
FIG. 9.

Reynolds number dependent spectra of the centerline measured at / = 30. (a) Φ()[ /(2π ⟩)] vs. 2π/ ; (b) Φ()[ /(2πλ⟨ ⟩)] vs. 2πλ/ ; (c) Φ()[ /(2πη⟨ ⟩)] vs. 2πη/ , with a model Kolmogorov spectrum for Re = 130 from Pope. Note that the spectra were corrected for the effects of finite hotwire length and sampling rate.

Image of FIG. 10.
FIG. 10.

Centerline evolutions of two axial budget terms of the turbulent kinetic energy: the mean advection (MA), − ∂⟨ ⟩/∂, and the dissipation rate (DR), −2ɛ, at Re = 20 100. Note that the dissipation data were corrected for the effects of finite hotwire length and sampling rate.

Image of FIG. 11.
FIG. 11.

Normalized on-centerline spectrum of weighted by (, ) and that of ∂/∂ (—, smoothed) obtained at / = 30 for Re = 20 100 or Re ≈ 130 with the model Kolmogorov spectrum (- - - -) for Re = 130 from Pope. Note that the data denoted by + were not corrected for the effects of hotwire length and sampling rate.

Image of FIG. 12.
FIG. 12.

Streamwise evolution of the normalized energy dissipation rate ε* = ( ). Note that the dissipation data have been corrected for the effects of finite hotwire length and sampling rate.

Image of FIG. 13.
FIG. 13.

Dependence on Re of the prefactor of Eq. (6) .

Image of FIG. 14.
FIG. 14.

Streamwise evolution of normalized Kolmogorov length scale / for Re = 4050–20 100.

Image of FIG. 15.
FIG. 15.

Dependence of on Re

Image of FIG. 16.
FIG. 16.

Streamwise evolution of normalized Taylor length scale / for Re = 4050–20 100.

Image of FIG. 17.
FIG. 17.

Dependence of on Re.

Image of FIG. 18.
FIG. 18.

Centerline evolution of turbulent Reynolds number Re for = 4050–20 100.

Image of FIG. 19.
FIG. 19.

Dependence of Re and Re on Re.

Image of FIG. 20.
FIG. 20.

Different virtual origin -locations versus Re.

Image of FIG. 21.
FIG. 21.

Re dependence of the skewness factor of ∂/∂ for various turbulent flows. Present data were obtained at / = 25 in a circular jet. All the literature data were compiled in Ref. .

Image of FIG. 22.
FIG. 22.

Dependence on Re of the flatness factor of ∂/∂ for various turbulent flows. Present data were obtained at / = 25 in a circular jet. All the literature data were compiled in Ref. .

Image of FIG. 23.
FIG. 23.

Dependence of = ɛ/⟨ on Re. Symbols: , present jet turbulence; +, grid turbulence from biplane square meshes, compiled by Sreenivasan; □, DNS of periodic box turbulence (forced), Jimenez ; ▲, DNS of periodic box turbulence (decaying), Wang ; ◯, DNS of periodic box turbulence (forced), Wang ; ■, DNS of periodic box turbulence (forced), Yeung and Zhou; ▽, DNS of periodic box turbulence (forced), Cao ; Δ, DNS of periodic box turbulence (forced), Kaneda ; ●, DNS of periodic box turbulence (forced), Gotoh ; ⊠, grid turbulence generated by active meshes, Mydlarski and Warhaft; ⊖, plate wake, Burattini ; , circular cylinder wake, Burattini

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/content/aip/journal/pof2/25/7/10.1063/1.4811403
2013-07-08
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Reynolds number influence on statistical behaviors of turbulence in a circular free jet
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/7/10.1063/1.4811403
10.1063/1.4811403
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