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A discrete model for the apparent viscosity of polydisperse suspensions including maximum packing fraction
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10.1122/1.4795746
/content/sor/journal/jor2/57/3/10.1122/1.4795746
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/3/10.1122/1.4795746

Figures

Image of FIG. 1.
FIG. 1.

Schematic representation of the two possible situations for the bidisperse maximum packing fraction: (a) Situation ①: The fraction of large particles lies below while the small particles fill the interstices with a fraction of . (b) Situation ②: The large particles occupy a fraction of while the small particles are present in the interstices according to the volume fraction ratio.

Image of FIG. 2.
FIG. 2.

Comparison of Eqs. (56) and (59) for the maximum packing fraction of bidisperse suspension with the data from using , accordingly; the Furnas model (48) gives the maximum value of is the diameter ratio (18) .

Image of FIG. 3.
FIG. 3.

Comparison of the model consisting of Eq. (46) for  = 2, Eqs. (56) and (59) with experimental data from , and for various total volume fractions ( ); missing total volume fractions are [ ] and [ ]; diameter ratios are [ ], [ ], and [ ], respectively.

Image of FIG. 4.
FIG. 4.

Scheme for the calculation of maximum packing fraction and relative viscosity after the th construction step for particle size classes with references to the respective equations.

Tables

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TABLE I.

Correlations between relative viscosity and volume fraction for .

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TABLE II.

Values of the second-order intrinsic viscosity taken from the literature.

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TABLE III.

Scheme for the volume fractions during the construction process (SC = size class).

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TABLE IV.

Notation for the maximum packing fraction during the construction process (SC = size class); the arrows indicate that the far right values are calculated recursively from the previous values (for details of the calculation, see Sec. IV E ).

Generic image for table
TABLE V.

Maximum packing fraction from compared against three different models: This work [Eqs. (65) and (67) ], the model by and the Furnas model [Eq. (49) ]; denotes the index of a size class, λ is the diameter ratio between two consecutive classes.

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/content/sor/journal/jor2/57/3/10.1122/1.4795746
2013-03-22
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A discrete model for the apparent viscosity of polydisperse suspensions including maximum packing fraction
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/3/10.1122/1.4795746
10.1122/1.4795746
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