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Phenomenological improvements to predictive models of fiber orientation in concentrated suspensions
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10.1122/1.4821038
/content/sor/journal/jor2/57/6/10.1122/1.4821038
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/6/10.1122/1.4821038

Figures

Image of FIG. 1.
FIG. 1.

Comparison of the standard FT model, the RSC model, and the RPR model for orientation tensor components, and , with respect to shear strain in (a) simple shear flow and (b) shearing/stretching combination flow.

Image of FIG. 2.
FIG. 2.

Orientation tensor components, (a) and (b) , with respect to shear strain measured in shearing/stretching combination flow at different values (0.2, 0.1, and 0.05) of the RSC parameter .

Image of FIG. 3.
FIG. 3.

Orientation tensor components, and , with respect to shear strain in shearing/stretching combination flow by using the optimal value of the RPR model parameters, and s.

Image of FIG. 4.
FIG. 4.

Comparison of the ARD-RSC model and the iARD-RPR model for orientation tensor components, , and , with respect to shear strain in shear flow for different FRTs: (a) 40 wt. % glass-fiber/PP; (b) 31 wt. % carbon-fiber/PP; and (c) 40 wt. % glass-fiber/nylon. The ARD-RSC orientation curves and their parameters are referring to the Ph.D. thesis of .

Image of FIG. 5.
FIG. 5.

At different values (0.005, 0.01, and 0.02) of the iARD-RPR parameter , orientation tensor components, (a) and (b) , with respect to shear strain in shearing/stretching combination flow.

Image of FIG. 6.
FIG. 6.

At different values (0.0, 0.1, and 0.5) of the iARD-RPR parameter , orientation tensor components, (a) and (b) , with respect to shear strain in shearing/stretching combination flow.

Image of FIG. 7.
FIG. 7.

At different values (0.0, 0.5, and 0.9) of the iARD-RPR parameter , orientation tensor components, (a) and (b) , with respect to shear strain in shearing/stretching combination flow.

Image of FIG. 8.
FIG. 8.

At different values (0.0, 0.1, and 0.2 s) of the iARD-RPR parameter , orientation tensor components, (a) and (b) , with respect to shear strain in shearing/stretching combination flow.

Image of FIG. 9.
FIG. 9.

Fitting parameters of the FT-RPR model for experimental diagonal orientation tensor components, , , and , with respect to shear strain in shear flow for the FRTs of 30 wt. % glass-fiber/PBT [ ].

Image of FIG. 10.
FIG. 10.

Fitting parameters of the FT-RPR model for experimental diagonal orientation tensor component ( ) with respect to shear strain measured at various flexibilities of short fibers immersed in silicone oil (volume fraction of 0.03) in shear flow [ ].

Image of FIG. 11.
FIG. 11.

Fitting parameters of the iARD-RPR model for experimental (a) diagonal components ( , , and ) and (b) off-diagonal component ( ) of orientation tensor with respect to shear strain in shear flow for the FRTs of 10 wt. % glass-fiber/PP [ ].

Image of FIG. 12.
FIG. 12.

Fitting parameters of the iARD-RPR model for experimental (a) diagonal components ( , , and ) and (b) off-diagonal component ( ) of orientation tensor with respect to shear strain in shear flow for the FRTs of 30 wt. % glass-fiber/PP [ ].

Image of FIG. 13.
FIG. 13.

Geometry of center-gated disk of mold filling. Three diagonal component components of orientation tensor, , , and , are measured in three regions, A, B, and C.

Image of FIG. 14.
FIG. 14.

Comparison of the iARD-RPR calculations to experimental data [ ] for three diagonal component components of orientation tensor, (a) , (b) and , through the normalized thickness / at of the center-gated disk for the FRTs of 40 wt. % glass-fiber/PP.

Image of FIG. 15.
FIG. 15.

Comparison of the iARD-RPR calculations to experimental data [ ] for three diagonal component components of orientation tensor, (a) , (b) and , through the normalized thickness / at of the center-gated disk for the FRTs of 40 wt. % glass-fiber/PP.

Image of FIG. 16.
FIG. 16.

Comparison of the iARD-RPR calculations to experimental data [ ] for three diagonal component components of orientation tensor, (a) , (b) and , through the normalized thickness / at of the center-gated disk for the FRTs of 40 wt. % glass-fiber/PP.

Tables

Generic image for table
TABLE I.

Parameters of the ARD-RSC model fitting experimental orientation tensor components for different long-fiber suspensions in inception of the transient shear flow [ ]. All parameters are in units of dimensionless.

Generic image for table
TABLE II.

Parameters of the iARD-RPR model fitting orientation tensor components predicted by the ARD-RSC model for different long-fiber suspensions in inception of the transient shear flow. The unit of is second and others are dimensionless.

Generic image for table
TABLE III.

Parameters of the FT-RPR model fitting experimental orientation tensor components [ ] for short-fiber suspension of 30 wt. % glass-fiber/PBT in inception of the transient shear flow. The unit of is second and others are dimensionless.

Generic image for table
TABLE IV.

Parameters of the FT-RPR model fitting experimental orientation tensor components [ ] for various fiber flexibilities of short-fibers/silicone-oil suspensions with volume fraction of 0.03 in inception of the transient shear flow. is the Young modulus. The unit of is second and others are dimensionless.

Generic image for table
TABLE V.

Parameters of the iARD-RPR model fitting experimental orientation tensor components [ ] for various concentrations of long-fiber suspension in inception of the transient shear flow. The unit of is second and others are dimensionless.

Generic image for table
TABLE VI.

Parameters of the iARD-RPR model fitting experimental orientation tensor components [ ] for long-fiber suspension in injection molding of the center-gated disk. The unit of is second and others are dimensionless.

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/content/sor/journal/jor2/57/6/10.1122/1.4821038
2013-09-16
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Phenomenological improvements to predictive models of fiber orientation in concentrated suspensions
http://aip.metastore.ingenta.com/content/sor/journal/jor2/57/6/10.1122/1.4821038
10.1122/1.4821038
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