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Similarity analysis of the momentum field of a subsonic, plane air jet with varying jet-exit and local Reynolds numbers
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10.1063/1.4776782
/content/aip/journal/pof2/25/1/10.1063/1.4776782
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/1/10.1063/1.4776782
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) A schematic of the plane jet nozzle, (b) time-averaged flow, and (c) laboratory dimensions. Note: ≡ centerline mean velocity, ≡ half-width (-value where (, ) = 1/2 ()).

Image of FIG. 2.
FIG. 2.

The jet-exit conditions defined by (a) displacement thickness (δ), momentum thickness (θ) and shape factors () at / = 0.5 reported by Deo (b) Momentum-based Reynolds number ( ) and shear layer-peak turbulent Reynolds number ( ) measured at / = 0.25. In part (a), δ and θ at = 1 for high- rectangular jet of Namar and Otugen are shown.

Image of FIG. 3.
FIG. 3.

Streamwise evolution of mass flow rates () normalized by bulk mass flow rate ( ) at the exit plane.

Image of FIG. 4.
FIG. 4.

Dependence of entrainment rates ( and virtual origin ( /) on .

Image of FIG. 5.
FIG. 5.

Streamwise evolutions of momentum thickness () for various .

Image of FIG. 6.
FIG. 6.

The -dependence of the shear-layer growth rate ( ) and mixing length ( ) based on Prandtl's mixing length hypothesis where is proportional to as embodied in Eq. (13) .

Image of FIG. 7.
FIG. 7.

Streamwise evolutions of the integral length scale, () / for various cases of . The asymptotic decrease of with increasing is shown in the inset.

Image of FIG. 8.
FIG. 8.

Streamwise evolutions of (a) local Reynolds number ( ) based on mean momentum thickness (), (b) local Reynolds number ( ) based on jet half-widths (). Note that part (b) has been modified after Deo and Deo

Image of FIG. 9.
FIG. 9.

Streamwise evolution of the one-dimensional turbulent kinetic energy normalized by () together with the data of Namar and Otugen.

Image of FIG. 10.
FIG. 10.

Lateral profiles of turbulence intensity = <[(, )]>/ () measured across the jet for = (a) 1500, (b) 3000, (c) 7000, (d) 10 000, and (e) 16 500.

Image of FIG. 11.
FIG. 11.

Dependence of streamwise turbulence intensity on () for = 3000–16 500.

Image of FIG. 12.
FIG. 12.

Streamwise evolutions of the local turbulent Reynolds number . Note: < () > ≡ peak value of shear layer turbulence intensity () ≡ jet half-width and < () > is deduced from Fig. 10 .

Image of FIG. 13.
FIG. 13.

Streamwise evolutions of the peak shear-layer turbulence intensity, < () > / () in %. Symbols are identical to Fig. 12 .

Image of FIG. 14.
FIG. 14.

Lateral profiles of (a) the skewness factors (S) and (b) the flatness factors ( ) of the fluctuating velocity measured across the jet at / = 20. The dashed (- - -) line shows the maximum skewness in the outer boundary layer.

Image of FIG. 15.
FIG. 15.

Streamwise evolutions of the Kolmogorov microscales (/) as per Deo

Image of FIG. 16.
FIG. 16.

Streamwise evolutions of the Taylor microscales (λ/).

Image of FIG. 17.
FIG. 17.

Centerline variation of the local Taylor microscale-based Reynolds number, λ()/υ. The plane jet data of Mi is included.

Image of FIG. 18.
FIG. 18.

The streamwise evolutions of the ratio of sampling frequency, against (a) Kolmogorov frequency, = ()/ [2π ()], (b) Eddy turnover Taylor frequency, . Note: dashed line in (a) shows over-filtering for higher cases.

Image of FIG. 19.
FIG. 19.

The -dependence of (a) Kolmogorov scales (), (b) Taylor microscales () in the self-preserving field measured between / = 50 and 160.

Image of FIG. 20.
FIG. 20.

The lateral distributions of (a) Kolmogorov scales (), (b) Taylor microscales () measured at / = 20.

Image of FIG. 21.
FIG. 21.

The lateral distributions of (a) the dissipation of turbulent kinetic energy (/ ), (b) Kolmogorov frequency, (, ) = (, )/2π at = 20. The sampling frequency ( ) is shown with the dashed line.

Image of FIG. 22.
FIG. 22.

Streamwise evolutions of turbulent kinetic energy spectra, on between / = 0 and 10. The dashed lines show energy production zones and th spectra have been transformed in coordinate-axis by a factor of 10.

Image of FIG. 23.
FIG. 23.

Streamwise evolutions of compensated spectra of the turbulent kinetic energy, on and measured between / = 20 and 160. The width of the inertial sub-range where for is characterized by the flat region on the ordinate axis.

Image of FIG. 24.
FIG. 24.

The probability density functions PDF of centerline velocity fluctuations (). The Gaussian distribution PDF is shown.

Image of FIG. 25.
FIG. 25.

(a) Lateral distribution of the intermittency factor, γ estimated indirectly from the flatness factor of the fluctuating velocity at / = 20 compared with Gutmark and Wygnanski's direct measurements. (b) Autocorrelation functions, on the jet centerline for = 1500 and 16 500.

Image of FIG. 26.
FIG. 26.

Comparing the probability density function (PDF) of the fluctuating velocity () at / = 20 between the jet centerline (blue dash line) and edge (red full line). The axis is normalised by ( ) at = 0 and Gaussian PDF is .

Image of FIG. 27.
FIG. 27.

The -dependence of turbulent viscosity (υ) and turbulent Reynolds number ( = / ).

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/content/aip/journal/pof2/25/1/10.1063/1.4776782
2013-01-25
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Similarity analysis of the momentum field of a subsonic, plane air jet with varying jet-exit and local Reynolds numbers
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/1/10.1063/1.4776782
10.1063/1.4776782
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