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Flow structures and their contribution to turbulent dispersion in a randomly packed porous bed based on particle image velocimetry measurements
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10.1063/1.4832380
/content/aip/journal/pof2/25/11/10.1063/1.4832380
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/11/10.1063/1.4832380

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the experimental test setup, (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, Reprinted with permission from V. A. Patil and J. A. Liburdy, Phys. Fluids , 043304 (2013). Copyright 2013 AIP Publishing LLC.

Image of FIG. 2.
FIG. 2.

Pore geometries and instantaneous velocity vector plots at = 3964; note that only every alternate vector is shown. Reprinted with permission from V. A. Patil and J. A. Liburdy, Phys. Fluids , 043304 (2013). Copyright 2013 AIP Publishing LLC.

Image of FIG. 3.
FIG. 3.

Mean velocity vector plot versus for the four pores shown in Fig. 2 .

Image of FIG. 4.
FIG. 4.

Longitudinal fluctuating velocity variance, 2/ 2, for a range of .

Image of FIG. 5.
FIG. 5.

Lateral fluctuating velocity variance, 2/ 2, for a range of .

Image of FIG. 6.
FIG. 6.

Longitudinal Eulerian time scale, , contour maps for four pores over a range of values.

Image of FIG. 7.
FIG. 7.

Recirculation regions enclosed by separating streamlines, shown in (a) and (b) overlaid by the mean velocity contours in the recirculation region for pores shown in Figs. 2(a) and 2(c) ; in (c) and (d) the same streamlines are shown overlaid with mean vorticity contours, Ω (note that vectors are used to indicates flow direction only, not magnitude).

Image of FIG. 8.
FIG. 8.

Flow in a jet like flow region for the pore shown in Fig. 2(d) ; (a) instantaneous vector field map, (b) separating streamlines overlaid with the normalized mean velocity contours, (c) same as (b) but overlaid with the mean vorticity contours, Ω (note that vectors are used to indicates flow direction only and not magnitude).

Image of FIG. 9.
FIG. 9.

Flow type area averaged mean (a) longitudinal and (b) transverse mean velocity variance for different regions versus .

Image of FIG. 10.
FIG. 10.

Flow region area averaged fluctuating transverse and longitudinal velocity variance for different regions versus .

Image of FIG. 11.
FIG. 11.

Flow area averaged Eulerian integral time scale versus for regions with different flow regions, (a) lateral time scale and (b) longitudinal time scale.

Image of FIG. 12.
FIG. 12.

Instantaneous small scale flow structure map determined using LES overlaid with (a) the instantaneous vorticity field and (b) the instantaneous shear strain rate field, both for = 3964.

Image of FIG. 13.
FIG. 13.

Instantaneous swirl strength map (a) pore region from Figs. 2(a) and 2(b) pore region from Fig. 2(c) , both overlaid with the instantaneous small scale velocity field from LES filtering for = 3964; note that the spatial scales for the two regions are different.

Image of FIG. 14.
FIG. 14.

Histogram of the normalized swirl strength, , for a range of in (a) tortuous channel region and (b) recirculating region.

Image of FIG. 15.
FIG. 15.

Histogram of the distribution of normalized eddy convective velocity, , versus in (a) the tortuous channel-like and (b) the recirculating regions.

Image of FIG. 16.
FIG. 16.

Flow region averaged swirl convective velocity magnitude, , versus in channel-like and recirculating regions.

Image of FIG. 17.
FIG. 17.

Time scale ratio versus for tortuous channel regions.

Image of FIG. 18.
FIG. 18.

Contribution of different pore scale regions to the longitudinal, , and transverse, , dispersion coefficients for value of 3964; note that a log scale is used.

Image of FIG. 19.
FIG. 19.

Longitudinal, , and transverse, , dispersion coefficients versus ; these experimentally obtained values are compared against empirically suggested asymptotic values, and shown as dashed lines (Wen and Fan 35 and Delgado 36 for ).

Tables

Generic image for table
Table I.

Uncertainty estimates. From Patil and Liburdy, Phys. Fluids , 043304 (2013). Copyright 2013 American Institute of Physics.

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/content/aip/journal/pof2/25/11/10.1063/1.4832380
2013-11-27
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Flow structures and their contribution to turbulent dispersion in a randomly packed porous bed based on particle image velocimetry measurements
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/11/10.1063/1.4832380
10.1063/1.4832380
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