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Convective constraint release (CCR) revisited
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10.1122/1.4843957
/content/sor/journal/jor2/58/1/10.1122/1.4843957
http://aip.metastore.ingenta.com/content/sor/journal/jor2/58/1/10.1122/1.4843957
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Fractional entanglement density vs Weissenberg number in steady shear flows. Curves are from Eq. (10) with  = 0.1, 0.18, 0.3, from top to bottom. Data are from Fig. 13 of Baig (2010) .

Image of FIG. 2.
FIG. 2.

Affine value of in a shear step strain of magnitude from Eq. (14a) . The dashed line is the large deformation asymptote  = /2.

Image of FIG. 3.
FIG. 3.

Evolution of the entanglement density (a) and of the tube length ratio (b), during step-strain relaxation as predicted by Eqs. (12)–(14) for  = 0.18 and  = 17. Values of are 1.79, 2.56, 3.07, and 4.02 as in Furuichi (2010) .

Image of FIG. 4.
FIG. 4.

Nonlinear relaxation modulus (a) and time-dependent damping function (b), during step-strain relaxation as predicted from Eqs. (12)–(16) . Parameter values are the same as in Fig. 3 .

Image of FIG. 5.
FIG. 5.

Nonlinear relaxation modulus (a) and time-dependent damping function (b), during step-strain relaxation as predicted from Eqs. (12)–(16) . Values of are 1, 3, 5, and 9, as in Sanchez-Reyes and Archer (2002) . Parameter values are  = 0.18 and  = 470.

Image of FIG. 6.
FIG. 6.

Damping function in shear step strain. (a) Dashed line is the rigorous Doi-Edwards prediction. Full lines going through circles and triangles are from Eqs. (12)–(16) with  = 0.18, and  = 17 or  = 470, respectively. Circles and triangles are in particular the asymptotic values of (,) from Figs. 4 and 5 , respectively. (b) Dotted and dashed-dotted lines show the effect of traditional CCR ( = 1) with  = 0.18 and  = 0.5, respectively, to be compared to the Doi-Edwards curve (dashed line) and to that from the new CCR with  = 0.18 (full line). All CCR lines are for  = 17.

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/content/sor/journal/jor2/58/1/10.1122/1.4843957
2013-12-13
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Convective constraint release (CCR) revisited
http://aip.metastore.ingenta.com/content/sor/journal/jor2/58/1/10.1122/1.4843957
10.1122/1.4843957
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