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Ordering transition and structural evolution under shear in Brownian suspensions
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10.1122/1.3073754
/content/sor/journal/jor2/53/2/10.1122/1.3073754
http://aip.metastore.ingenta.com/content/sor/journal/jor2/53/2/10.1122/1.3073754

Figures

Image of FIG. 1.
FIG. 1.

Dependence of the relative viscosity on particle volume fraction [Sierou and Brady (2002)]: ASD, , and .

Image of FIG. 2.
FIG. 2.

Dependence of the relative viscosity on dimensionless time for different (a) at , (b) at , (c) at , and (d) at . To help readers through the crowded figures, we note that the left end data increase monotonically with .

Image of FIG. 3.
FIG. 3.

Response of a suspension of to a step change (a) from to , and (b) from to .

Image of FIG. 4.
FIG. 4.

(a) vs at from Sierou and Brady (2002), and from this study at at and at . (b) vs for , , , and compared with experimental study by Phan et al. (1996). (c) vs at at , , , and compared with ASD at by Sierou and Brady (2002).

Image of FIG. 5.
FIG. 5.

Pair distribution function at . The equilibrium determined using ASD is compared with that obtained from Monte Carlo simulation [Hansen and Mcdonald (1986)] and with at for (the bin size in the present work) and .

Image of FIG. 6.
FIG. 6.

Pair distribution function on the plane averaged over at (a) for , (b) at for , and (c) at for .

Image of FIG. 7.
FIG. 7.

Pair distribution function on the plane for at (a) averaged over , and (b) averaged over .

Image of FIG. 8.
FIG. 8.

The contact value of the pair distribution function in the plane averaged over (a) at for different and (b) at for different .

Image of FIG. 9.
FIG. 9.

The contact value of the pair distribution function in the plane averaged over (a) at for different and (b) at for different .

Image of FIG. 10.
FIG. 10.

Hexagonal order parameter averaged over (right axis) and steady relative viscosities (left axis) for different at and at .

Image of FIG. 11.
FIG. 11.

The contact value of the pair distribution function at for averaged over and on (a) the plane and (b) the plane. The legend in (a) applies also to (b). The discontinuity in the curves for (a) near 30° and (b) near 150° implies .

Image of FIG. 12.
FIG. 12.

Projections of the static structure factor for and at averaged over on (a) the velocity gradient axis and (b) the vorticity axis.

Image of FIG. 13.
FIG. 13.

Projection of the static structure factor for and at averaged over on (a) the velocity gradient axis (note the logarithmic scale in this case) and (b) the vorticity axis.

Image of FIG. 14.
FIG. 14.

For at (a) vs time and (b) replotting the same data as vs time.

Image of FIG. 15.
FIG. 15.

MSD curve growth with time at for different averaged over many initial times drawn from the first 100 strains, in (a) -direction and (b) -direction.

Image of FIG. 16.
FIG. 16.

MSD curve growth with time at for different averaged over many initial times drawn from the first 100 strains, in (a) -direction and (b) -direction.

Image of FIG. 17.
FIG. 17.

Mean square displacement as function of time at for averaged over and .

Tables

Generic image for table
TABLE I.

Relative viscosity at and at , and relaxation times for a representative set of runs for at various Péclet numbers. For measurement of relaxation times using Eq. (4), we choose except for the cases indicated by asterisks, where decay is delayed and .

Generic image for table
TABLE II.

Average values of the long-time self-diffusivity components and (normalized by ) for different (a) at , (b) at (set I), and at [set II from Sierou and Brady (2004) and set III from Leshansky and Brady (2005)]. In set I, for where ordering and thixotropy occur, and are represented in the form , where and represent values averaged over and over , respectively.

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/content/sor/journal/jor2/53/2/10.1122/1.3073754
2009-03-01
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ordering transition and structural evolution under shear in Brownian suspensions
http://aip.metastore.ingenta.com/content/sor/journal/jor2/53/2/10.1122/1.3073754
10.1122/1.3073754
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