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Two spheres in a free stream of a second-order fluid
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10.1063/1.2917976
/content/aip/journal/pof2/20/6/10.1063/1.2917976
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/6/10.1063/1.2917976
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Two spherical particles in a arbitrary-direction free stream.

Image of FIG. 2.
FIG. 2.

Schematic of forces acting on two particles. (a) Newtonian fluid. (b) Second-order fluid.

Image of FIG. 3.
FIG. 3.

Forces acting on particles in a second-order fluid while the free stream is along the particles line of centers.

Image of FIG. 4.
FIG. 4.

Stresses on the surface of particle I in a second-order fluid while the free stream is along the particles line of centers: ; ; .

Image of FIG. 5.
FIG. 5.

Schematic of the forces acting to two particles.

Image of FIG. 6.
FIG. 6.

Force acting on the particle I in a second-order fluid while the free stream is perpendicular to the particles line of centers.

Image of FIG. 7.
FIG. 7.

Torque acting on sphere I in a second-order fluid while the free stream is perpendicular to the particles line of centers.

Image of FIG. 8.
FIG. 8.

Stresses on the surface of particle I in a second-order fluid when the flow is perpendicular to the line of centers: , ; ; .

Image of FIG. 9.
FIG. 9.

Stresses on the surface of particle I in a second-order fluid when the flow is perpendicular to the line of centers. (*) shear stress, (○) normal stress and pressure in second-order fluid: , ; , .

Image of FIG. 10.
FIG. 10.

Schematic of the forces acting on two particles.

Image of FIG. 11.
FIG. 11.

Forces acting on particle I in a second-order fluid in a free stream at an arbitrary angle. (a) vs particle separation distance when . (b) vs the free stream angle when .

Image of FIG. 12.
FIG. 12.

Force acting on the particle I while the spheres are rotating in a quiescent second-order fluid.

Image of FIG. 13.
FIG. 13.

Torque acting on sphere I while the spheres are rotating in a quiescent second-order fluid.

Image of FIG. 14.
FIG. 14.

Rotation rate of freely rotating spheres in a free stream of a second-order fluid.

Image of FIG. 15.
FIG. 15.

The distribution of shear rate and Stokes pressure on the surface of sphere I for nonrotating and freely rotating spheres: ; ; ; .

Image of FIG. 16.
FIG. 16.

The distribution of and pressure on the surface of sphere I for nonrotating and freely rotating spheres: ; ; ; .

Image of FIG. 17.
FIG. 17.

The distribution of normal and shear stresses on the surface of sphere I for nonrotating and freely rotating spheres: ; ; ; .

Image of FIG. 18.
FIG. 18.

Forces acting on sphere I for nonrotating and freely rotating spheres.

Image of FIG. 19.
FIG. 19.

Two spherical particles in a free stream.

Image of FIG. 20.
FIG. 20.

Two spherical particles in a free stream at , , , and . Normal stress at surface of sphere I is shown.

Image of FIG. 21.
FIG. 21.

Two spherical particles in a free stream at , cm, , and . Normal stress at surface of sphere II is shown.

Image of FIG. 22.
FIG. 22.

Two spherical particles in a free stream at and .

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/content/aip/journal/pof2/20/6/10.1063/1.2917976
2008-06-05
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Two spheres in a free stream of a second-order fluid
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/6/10.1063/1.2917976
10.1063/1.2917976
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