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A constitutive analysis of transient and steady-state elongational viscosities of bidisperse polystyrene blends
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10.1122/1.2807442
/content/sor/journal/jor2/52/1/10.1122/1.2807442
http://aip.metastore.ingenta.com/content/sor/journal/jor2/52/1/10.1122/1.2807442

Figures

Image of FIG. 1.
FIG. 1.

(a) Comparison of measured transient elongational viscosity data (symbols) of Blend 1 at to predictions (lines) of the long-chain model according to Eq. (16). (b) Comparison of measured transient elongational viscosity data (symbols) of Blend 1 at to predictions (lines) of the long-chain model according to Eq. (18). (c) Strain measure data (symbols) of Blend 1 at compared to predictions of the long-chain model (lines) according to Eq. (18). Upper dotted line corresponds to the affine chain stretch hypothesis [Eq. (13)], and lower dotted line to the tube squeeze hypothesis [Eq. (10)]. (d) Comparison of measured steady-state elongational viscosity data (open dots) of Blend 1 at to predictions of the long-chain model according to Eq. (18) with (full line) and without the effect of dilution (dash-dotted line).

Image of FIG. 2.
FIG. 2.

(a) Comparison of measured transient elongational viscosity data (symbols) of Blend 2 at to predictions (lines) of the long-chain model according to Eq. (16). (b) Comparison of measured transient elongational viscosity data (symbols) of Blend 2 at to predictions (lines) of the long-chain model according to Eq. (18). (c) Strain measure data (symbols) of Blend 2 at compared to predictions of the long-chain model (lines) according to Eq. (18). Upper dotted line corresponds to the affine chain stretch hypothesis [Eq. (13)], and lower dotted line to the tube squeeze hypothesis [Eq. (10)]. (d) Comparison of measured steady-state elongational viscosity data (open dots) of Blend 2 at to predictions of the long-chain model according to Eq. (18) with (full line) and without the effect of dilution (dash-dotted line).

Image of FIG. 3.
FIG. 3.

(a) Comparison of measured transient elongational viscosity data (symbols) of Blend 3 at for the five lowest strain rates measured to predictions (lines) of the long-chain model according to Eq. (16). (b) Comparison of measured steady-state elongational viscosity data (open dots) of Blend 3 at to predictions of the long-chain model according to Eq. (16) with (full line) and without the effect of dilution (dash-dotted line).

Image of FIG. 4.
FIG. 4.

(a) Comparison of measured transient elongational viscosity data (symbols) of Blend 3 at to predictions (lines) of the Double Reptation Model according to Eq. (27)–Eq. (29). (b) Comparison of measured steady-state elongational viscosity data (open dots) of Blend 3 at to prediction of the Double Reptation Model according to Eq. (27)–Eq. (29) with (full line) and without the effect of dilution (dash-dotted line). The transition from the dilution to the undiluted regime, according to Eq. (31), is indicated (heavy dotted line). (c) of long-chain (full dots) and short-chain (open dots) component of Blend 3 as a function of elongation rate. is the tube-diameter relaxation time of the long-chain component, according to Eq. (31). (d) Comparison of measured transient elongational viscosity data (symbols) of Blend 3 at to predictions (lines) of the Double Reptation Model, according to Eq. (27)–Eq. (29) and Eq. (31).

Image of FIG. 5.
FIG. 5.

(a) Comparison of measured transient elongational viscosity data (symbols) of Blend 2 at to predictions (lines) of the Double Reptation Model, according to Eq. (27)–Eq. (29) and Eq. (31). (b) Comparison of measured steady-state elongational viscosity data (open dots) of Blend 2 at to prediction of the Double Reptation Model, according to Eq. (27)–Eq. (29) with (full line) and without the effect of dilution (dash-dotted line). The transition from the dilution to the undiluted regime, according to Eq. (31), is indicated (heavy dotted line).

Image of FIG. 6.
FIG. 6.

(a) Comparison of measured transient elongational viscosity data (symbols) of Blend 1 at to predictions (lines) of the Double Reptation Model, according to Eq. (27)–Eq. (29) and Eq. (31). (b) Comparison of measured steady-state elongational viscosity data (open dots) of Blend 1 at to prediction of the Double Reptation Model, according to Eq. (27)–Eq. (29) with (full line) and without the effect of dilution (dash-dotted line). The transition from the dilution to the undiluted regime, according to Eq. (31), is indicated (heavy dotted line).

Tables

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TABLE I.

Composition and characterization of bidisperse blends (relaxation spectra at ).

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TABLE II.

Characterization of blends components (Relaxation spectra at ) [Wagner et al. (2005a)].

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TABLE III.

Empirical shift factors to account for dynamic tube dilution.

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/content/sor/journal/jor2/52/1/10.1122/1.2807442
2008-01-01
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A constitutive analysis of transient and steady-state elongational viscosities of bidisperse polystyrene blends
http://aip.metastore.ingenta.com/content/sor/journal/jor2/52/1/10.1122/1.2807442
10.1122/1.2807442
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