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Perturbation solution for the viscoelastic 3D flow around a rigid sphere subject to simple shear
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10.1063/1.3615518
/content/aip/journal/pof2/23/8/10.1063/1.3615518
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/8/10.1063/1.3615518

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Convergence of the series solution for the SOF model.

Image of FIG. 2.
FIG. 2.

(Color online) Convergence of the series solution for the UCM and PTT models.

Image of FIG. 3.
FIG. 3.

(Color online) (a) The ratio of the periods for the constitutive models used here. (b) The ratio of periods for a SOF.

Image of FIG. 4.
FIG. 4.

(Color online) Streamlines on the shear plane: (top) Newtonian fluid (bottom) Giesekus fluid with . At the bottom figure, the solid lines are derived using the solution for the velocity up to while the symbols are derived using the solution for the velocity up to .

Image of FIG. 5.
FIG. 5.

Axisymmetric pressure contours for a SOF model with b = − 7 and De = 0.9.

Image of FIG. 6.
FIG. 6.

Axisymmetric pressure contours for a UCM model with De = 0.4.

Image of FIG. 7.
FIG. 7.

Axisymmetric radial velocity contours for a UCM model with De = 0.4.

Image of FIG. 8.
FIG. 8.

Axisymmetric radial velocity contours for a PTT model with De = 0.4, ε = 0.2.

Image of FIG. 9.
FIG. 9.

Axisymmetric polar velocity contours for a UCM model with De = 0.4.

Image of FIG. 10.
FIG. 10.

Axisymmetric polar velocity contours for a Giesekus model with De = 0.4, aG = 0.4.

Image of FIG. 11.
FIG. 11.

(Color online) (a) The component of as a function of the Deborah number, for the PTT model. (b) The component of as a function of the Deborah number, for the PTT model.

Tables

Generic image for table
Table I.

The required spectral resolution for fully resolved velocity and pressure profiles.

Generic image for table
Table II.

The non-zero -Fourier modes. With bold letters, the modes that are not present for a SOF are denoted.

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/content/aip/journal/pof2/23/8/10.1063/1.3615518
2011-08-01
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Perturbation solution for the viscoelastic 3D flow around a rigid sphere subject to simple shear
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/8/10.1063/1.3615518
10.1063/1.3615518
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