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Axisymmetric creeping motion of particles towards a circular orifice or disk
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10.1063/1.4803002
/content/aip/journal/pof2/25/4/10.1063/1.4803002
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4803002

Figures

Image of FIG. 1.
FIG. 1.

Schematic of two identical particles moving axisymmetrically along the axis towards a circular orifice (a) and a circular disk (b).

Image of FIG. 2.
FIG. 2.

Normalized -component stress as a function of location on the disk surface with = 1.5.

Image of FIG. 3.
FIG. 3.

Normalized -component stress as a function of location on the sphere surface with = 1.5. The curves from top to bottom are for = 0.25, 0.5, 1, and 2, respectively.

Image of FIG. 4.
FIG. 4.

Normalized drag force as a function of particle location around an orifice.

Image of FIG. 5.
FIG. 5.

Normalized -component stress as a function of location on the sphere surface in the vicinity of an orifice with = 0.5.

Image of FIG. 6.
FIG. 6.

Normalized -component stress as a function of location on the sphere surface in the vicinity of an orifice with = 0.85.

Image of FIG. 7.
FIG. 7.

Normalized velocities vs location for two particles ( = 8) moving towards an infinite plane under a constant external force; BE results (solid curves) and Eq. (13) (dashes curves).

Image of FIG. 8.
FIG. 8.

Variation of normalized drag force with location for two particles ( = 3) moving at an identical velocity in the vicinity of an orifice; particle 1 (solid curves) and particle 2 (dashed curves).

Image of FIG. 9.
FIG. 9.

Drag force of particle 1 normalized by the value in the absence of particle 2 as a function of location in the vicinity of an orifice. Solid curves from top to bottom denote = 0.9, 0.6, and 0.3 for = 3, while dashed curves correspond to = 2.5.

Image of FIG. 10.
FIG. 10.

Evolution of the shortest surface-to-surface distance between two particles moving subject to a constant external force in the vicinity of an orifice with particle 1 being initially located at / = −10 and / = 1 (a), 0.5 (b), and 0.2 (c).

Tables

Generic image for table
Table I.

Normalized drag force for a particle moving towards a circular disk with varying number of elements.

Generic image for table
Table II.

Normalized drag force for a particle moving towards a circular disk. BE denotes the result from boundary element method in the present study, while SC and ON refer to the results of Dagan and of O’Neill, respectively.

Generic image for table
Table III.

Normalized drag force of a particle moving towards a circular disk. Denotations of BE and SC are the same as in Table II . The drag force values for = 0 are obtained by Brenner.

Generic image for table
Table IV.

Normalized drag force of a particle moving towards a circular orifice. Denotations of BE and SC are the same as in Table II , while DA represents Davis's asymptotic approximation.

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/content/aip/journal/pof2/25/4/10.1063/1.4803002
2013-04-30
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Axisymmetric creeping motion of particles towards a circular orifice or disk
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4803002
10.1063/1.4803002
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