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 Re pore = 3964, velocity field is scaled with average interstitial velocity, V int . Reprinted with permission from V. A. Patil and J. A. Liburdy, Phys. Fluids 25, 043304 (2013). Copyright 2013 AIP Publishing LLC.
Pore geometries and instantaneous velocity vector plots at Re pore = 3964; note that only every alternate vector is shown. Reprinted with permission from V. A. Patil and J. A. Liburdy, Phys. Fluids 25, 043304 (2013). Copyright 2013 AIP Publishing LLC.
Mean velocity vector plot versus Re pore for the four pores shown in Fig. 2 .
Longitudinal fluctuating velocity variance, v′2/V int 2, for a range of Re pore .
Lateral fluctuating velocity variance, u′2/V int 2, for a range of Re pore .
Longitudinal Eulerian time scale, T E,v V int /D H , contour maps for four pores over a range of Re pore values.
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).
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).
Flow type area averaged mean (a) longitudinal and (b) transverse mean velocity variance for different regions versus Re pore .
Flow region area averaged fluctuating transverse and longitudinal velocity variance for different regions versus Re pore .
Flow area averaged Eulerian integral time scale versus Re pore for regions with different flow regions, (a) lateral time scale and (b) longitudinal time scale.
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 Re pore = 3964.
Histogram of the normalized swirl strength, λ ci , for a range of Re pore in (a) tortuous channel region and (b) recirculating region.
Histogram of the distribution of normalized eddy convective velocity, V conv /V int , versus Re pore in (a) the tortuous channel-like and (b) the recirculating regions.
Flow region averaged swirl convective velocity magnitude, V conv , versus Re pore in channel-like and recirculating regions.
Time scale ratio T L /T E versus Re pore for tortuous channel regions.
Contribution of different pore scale regions to the longitudinal, D L , and transverse, D T , dispersion coefficients for Re pore value of 3964; note that a log scale is used.
Uncertainty estimates. From Patil and Liburdy, Phys. Fluids 25, 043304 (2013). Copyright 2013 American Institute of Physics.
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