A test case for predicting the rheological properties of polymeric liquids: the multiple coupled Maxwell modes model

Jiang, B.; Kamerkar, P. A.; Keffer, David J.; Edwards, Brian J.

doi:10.1016/j.jnnfm.2004.02.007

Cited by 6 publications

(15 citation statements)

References 13 publications

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“…As reported in Ref. 1, this method appears to give adequate results for this type of parameter fitting. Thus, we continue to use it in this investigation.…”

Section: Methodssupporting

confidence: 58%

“…A variety of experimental data were obtained, as described in a preceding article 1. A dynamic frequency sweep was performed in the range of 0.01s −1 –100 s −1 .…”

Section: Methodsmentioning

confidence: 99%

“…The methodology used to fit the model parameters to the requisite amount of experimental data is now easily implemented using standard desktop computers. This methodology was described in detail in a prior publication,1 so only a brief summary will be included below. In the prior publication, only a single model class was examined, as the point of that article was to develop the methodology.…”

Section: Introductionmentioning

confidence: 99%

“…The multiple‐mode version of this model falls into the class of pair‐wise coupled modes with nonlinear extensions—see below.) Obviously, this is just a special case of the more general fully‐coupled models, but it is interesting to examine pair‐wise coupling as an entity unto itself because this class possesses some striking peculiarities1—see below for more details. The models examined herein for both of these classes are the semiphenomenological multiple‐mode models introduced by Beris and Edwards11; these were chosen as the simplest possible representations of this class of models.…”

Section: Introductionmentioning

confidence: 99%

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Using multiple‐mode models for fitting and predicting rheological properties of polymeric melts

Jiang

Kamerkar

Keffer

et al. 2005

J of Applied Polymer Sci

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Several classes of multiple-mode rheological constitutive equations are tested for fitting and predicting viscoelastic flow properties of a typical low-density polyethylene melt. An optimization procedure is used to fit the phenomenological parameters of each model under consideration to experimental data taken in small-amplitude oscillatory shear flow and steady shear flow. These parameter values are then used to generate predictions for transient shear and uniaxial elongational flow experiments, and the predictions are then compared to experimental data. Model successes and failures are discussed, and the outlook for using rheological equations in real design processes is addressed.

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“…As reported in Ref. 1, this method appears to give adequate results for this type of parameter fitting. Thus, we continue to use it in this investigation.…”

Section: Methodssupporting

confidence: 58%

“…A variety of experimental data were obtained, as described in a preceding article 1. A dynamic frequency sweep was performed in the range of 0.01s −1 –100 s −1 .…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Using multiple‐mode models for fitting and predicting rheological properties of polymeric melts

Jiang

Kamerkar

Keffer

et al. 2005

J of Applied Polymer Sci

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show abstract

“…Note that the predictions of this model have a distinct waviness with respect to time. As explained before, 1,16,17 this behavior is caused by the unrealistic Maxwellian type of relaxation assumed by this model. Figure 6 presents the theoretical predictions of the stress and modulus provided by the UGM model.…”

Section: Single Step-strain Experimentsmentioning

confidence: 84%

Using multiple‐mode models for fitting and predicting the rheological properties of polymeric melts. II. Single and double step‐strain flows

Jiang

Kamerkar

Keffer

et al. 2007

J of Applied Polymer Sci

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Several classes of multiple-mode rheological constitutive equations are examined for predicting the viscoelastic flow properties of a typical polymer melt in single and double step-strain flows. The phenomenological parameters appearing in these models have been obtained by the fitting of experimental data taken in small-amplitude oscillatory shear and steady shear flows. The performance of the models for predicting the experimental data in the step-strain experiments is examined in detail.Specifically, we examine whether or not mode coupling is necessary to describe the experimental behavior under step-strain flows. Furthermore, it is demonstrated that the reversing double step-strain experiment is a very powerful tool for testing viscoelastic constitutive equations.

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A model with coupled Maxwell modes using Giesekus' postulate

Stephanou

2024

Physics of Fluids

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Relaxation modes must be considered coupled on several occasions, such as in polymer blends. Edwards et al. [J. Rheol, 40, 917–942 (1996)], using the generalized bracket formalism of non-equilibrium thermodynamics, provided the first thermodynamically derived constitutive model with coupled Maxwell modes by introducing relaxation coupling between the modes. In this work, we derive a similar model wherein coupling is introduced by using Giesekus' postulate to the mobility tensor and its introduction in the relaxation matrices, without considering cross-relaxation matrices. Our approach bears the following advantages over the work of Edwards et al.: (a) it derives the coupling term, instead of simply invoking it, by using the Giesekus postulate, (b) it is more in line with rheological experimental data for polymer blends, and (c) the proof of thermodynamic admissibility is easier to perform.

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A test case for predicting the rheological properties of polymeric liquids: the multiple coupled Maxwell modes model

Cited by 6 publications

References 13 publications

Using multiple‐mode models for fitting and predicting rheological properties of polymeric melts

Using multiple‐mode models for fitting and predicting rheological properties of polymeric melts

Using multiple‐mode models for fitting and predicting the rheological properties of polymeric melts. II. Single and double step‐strain flows

A model with coupled Maxwell modes using Giesekus' postulate

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