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Turbulent flow characteristics in a randomly packed porous bed based on particle image velocimetry measurements
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10.1063/1.4802043
/content/aip/journal/pof2/25/4/10.1063/1.4802043
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4802043

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the experimental test setup used to record images, (a) flow loop, (b) detailed test section, (c) bed entrance normalized velocity field plot overlaid with contour plot of normalized velocity magnitude for = 3964, velocity field is scaled with average interstitial velocity, .

Image of FIG. 2.
FIG. 2.

Instantaneous velocity maps overlaid over raw camera image in 4 different pores in bed obtained at = 3964; the pores are described in the paper and identified as the following: (a) channel-like region, (b) impinging region, (c) recirculation region, and (d) jet-like region.

Image of FIG. 3.
FIG. 3.

(a)–(d) Mean velocity magnitude contours normalized with , overlaid with the vector plot indicating direction only for = 2860 for pore locations discussed in Fig. 2 .

Image of FIG. 4.
FIG. 4.

(a)–(d) Sequence of instantaneous vector field at time interval of 37.5 ms (approximately 75% of integral time) for = 418 for pore location discussed in Fig. 2(a) .

Image of FIG. 5.
FIG. 5.

Small scale component of Large Eddy Scale (LES) filtered velocity vector plots for pore space shown in Fig. 2(a) for four values of : (a) 418, (b) 839, (c) 2860, and (d) 3964.

Image of FIG. 6.
FIG. 6.

Longitudinal spatial autocorrelation function, ⟨ , collected in pore space shown in Fig. 2(a) (a) = 418–1815 and (b) = 1815–3964.

Image of FIG. 7.
FIG. 7.

Normalized Eulerian integral longitudinal length scale, ⟨ / , evaluated for data collected in pore space shown in Fig. 2 .

Image of FIG. 8.
FIG. 8.

Normalized Eulerian integral time scale, ⟨ / , versus evaluated for each pore shown in Fig. 2 .

Image of FIG. 9.
FIG. 9.

Turbulent kinetic energy spectrum for (a) = 839, 2328, 3964 and (b) = 3964 for each pore shown in Fig. 2 ; the −5/3 line represents a slope of −5/3 in a log-log plot with the asymptotic noise level at high values of added across the spectrum, note that this line is shifted up for clarity.

Image of FIG. 10.
FIG. 10.

Contour maps of normalized longitudinal fluctuating velocity variances, / , for = 418, = 1322, 2860, and = 3964 for each of the pores shown in Fig. 2 .

Image of FIG. 11.
FIG. 11.

Normalized longitudinal fluctuating velocity variance, / , in the pore shown in Fig. 2(a) for (a) = 418–2860 and (b) = 2860–3964.

Image of FIG. 12.
FIG. 12.

Plot of normalized pore averaged fluctuating longitudinal velocity variances, ⟨/ , versus for the different pore geometries in Fig. 2 .

Image of FIG. 13.
FIG. 13.

Plot of the normalized pore averaged fluctuating transverse or lateral velocity variances, ⟨/ , versus for the different pore geometries in Fig. 2 .

Image of FIG. 14.
FIG. 14.

(a)–(d) Ratio of longitudinal to lateral rms fluctuating velocity, ′/′, for = 3964 for the four different pore geometries shown in Fig. 2 .

Image of FIG. 15.
FIG. 15.

Histogram of the ratio of longitudinal to lateral rms fluctuating velocity, ′/′, for = 3964 for the four different pore geometries shown in Fig. 2 .

Image of FIG. 16.
FIG. 16.

Pore averaged turbulent kinetic energy production rate, ⟨ , due to shear rate scaled by / , versus , for the four pore spaces shown in Fig. 2 .

Image of FIG. 17.
FIG. 17.

Histogram of the normalized turbulent kinetic energy production, , for the pore shown in Fig. 2(a) for (a) = 418–2860 and (b) = 2860–3964.

Image of FIG. 18.
FIG. 18.

Pore averaged mean Eulerian longitudinal velocity variance, ⟨( )/ , versus Re in the four pores shown in Fig. 2 versus .

Image of FIG. 19.
FIG. 19.

Histograms of the mean Eulerian longitudinal velocity variance, ( )/ , in the pores shown in Fig. 2(a) for (a) = 418–1815 and (b) = 1815–3964.

Image of FIG. 20.
FIG. 20.

Asymptotic limits for various measures of turbulent flow measured within the randomly packed porous bed.

Tables

Generic image for table
Table I.

Uncertainty estimates.

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/content/aip/journal/pof2/25/4/10.1063/1.4802043
2013-04-23
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Turbulent flow characteristics in a randomly packed porous bed based on particle image velocimetry measurements
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4802043
10.1063/1.4802043
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