Viscous behavior of PS, PP, and ABS in terms of temperature and pressure‐dependent hole fraction

Akdeniz, Gülsüm; Yahşi, Uğur; Tav, Cumali

doi:10.1002/app.31565

Cited by 14 publications

(12 citation statements)

References 28 publications

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“…On this basis, it appears that free volume is more significant to the pressure dependence of viscosity rather than other factors such as proximity to a melting transition. A similar trend is well established for the temperature dependence of relaxation time, whereby increasing temperature increases free volume [7,13,14].…”

Section: Pressure Dependent Rheologysupporting

confidence: 77%

Pressure and shear rate dependence of the viscosity and stress relaxation of polymer melts

Reynolds

Thompson

McLeish

2018

Journal of Rheology

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Section: Pressure Dependent Rheologysupporting

confidence: 77%

Pressure and shear rate dependence of the viscosity and stress relaxation of polymer melts

Reynolds

Thompson

McLeish

2018

Journal of Rheology

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“…in the viscosity equation, defined as the ratio of shear‐stress to shear‐rate, the following expression is obtained

η = \frac{η_{0}}{1 + \frac{θ_{1}}{Γ true(q + 1 true)} {true(\frac{η_{0} \dot{γ}}{τ} true)}^{italicq} + \frac{θ_{2}}{Γ true(2 q + 1 true)} {true(\frac{η_{0} \dot{γ}}{τ} true)}^{2 q}}

where

Γ true(q true)

is a gamma function,

θ_{n} = \frac{2}{π} \sum_{i} \cos^{n q + 2} θ_{i}, (n = 1, 2)

, and

τ = 4 R T / \sqrt{6} υ

. Here the zero‐shear viscosity defined as the zeroth order approximation of eq. is

η_{0} = η^{*} e^{E_{a} / k T}

.…”

Section: Theoriesmentioning

confidence: 99%

“…As having a great essence of viscosity‐hole fraction behavior, the derivative of eq. with respect to h at constant T is defined and coined a name “viscoholibility” (as a combination of viscosity and hole fraction) is given as follows:

{\frac{\partial \ln η_{0}}{\partial h} true|}_{T} = - \frac{α}{h^{2} T}

…”

Section: Theoriesmentioning

confidence: 99%

“…However, extending it for more complicated structures, Yahsi proposed a new theoretical derivation for zero shear viscosity as a function of temperature and pressure dependent hole fraction, h ( T , P ), computed from an equilibrium property of the SS theory. He applied it successfully for some branched hydrocarbons, their mixtures and polymers …”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the non‐newtonian viscous behavior of polymer melts in terms of temperature and pressure‐dependent hole fraction

Dinc

Sedláček

Tav

et al. 2014

J of Applied Polymer Sci

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A new theoretical non‐Newtonian viscosity model is developed by taking the fractional series expansion of Eyring's shearing strain rate. A broad range of experimental rheological data of various polymer melts including polyethylenes, polypropylene, polystyrene, poly (methyl methacrylate), and polycarbonate are fitted well using the proposed model. From the model; zero shear, constant shear‐stress and constant shear‐rate viscosities are derived as a linear function of viscosity related quantity, Yh, called “thermo‐occupancy function” and their coefficients are discussed in detail. The thermo‐occupancy function is expressed in terms of temperature and structural vacancies such as hole fraction computed from the Simha‐Somcynsky Hole Theory (SS). In addition, the derivative of the logarithm of viscosities with respect to the hole fraction, named as viscoholibility, is observed decreases with the increasing hole fraction. © 2014 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2014, 131, 40540.

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“…It could be studied through viscosity and PVT data relation using Simha-Somcynsky [4][5][6] or modified Miller [7] equations. Furthermore an investigation of pressure affected viscosity employing modified rheometers and followed by evaluation of flow behavior by the help of pressure coefficient using some mathematical models could be employed.…”

Section: Introductionmentioning

confidence: 99%

On Pressure Affected Shear Viscosity of Poly(Lactic) Acid

Piyamanocha¹,

Sedláček²,

Sáha³

et al. 2011

AIP Conference Proceedings

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Abstract. Evaluation of pressure coefficient of polymer melt viscosity has become important parameter taken into account for flow behavior prediction in polymer processing simulation software. In this paper, the pressure coefficient of biodegradable polymers, poly(lactic) acid (PLA), was investigated. A capillary rheometer equipped with back pressure device controlling pressure in polymer melt during flow was employed for experiments. Pressure sensitivity was evaluated through pressure coefficient calculated via fitting of obtained viscosity data by the help of Carreau-Yasuda model. It was found that pressure coefficient of PLAs is strongly affected by the internal structure of tested polymer.

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Viscous behavior of PS, PP, and ABS in terms of temperature and pressure‐dependent hole fraction

Cited by 14 publications

References 28 publications

Pressure and shear rate dependence of the viscosity and stress relaxation of polymer melts

Pressure and shear rate dependence of the viscosity and stress relaxation of polymer melts

On the non‐newtonian viscous behavior of polymer melts in terms of temperature and pressure‐dependent hole fraction

On Pressure Affected Shear Viscosity of Poly(Lactic) Acid

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