Shear banding predictions for the two-fluid Rolie-Poly model

Peterson, Joseph D.; Cromer, Michael; Fredrickson, Glenn H.; Leal, L. Gary

doi:10.1122/1.4960510

Cited by 27 publications

(27 citation statements)

References 43 publications

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“…those that display shear banding characteristics in shear flow, remains an open question. This is also intrinsically linked to the exact mechanisms for shear banding, which also remains a topic of considerable controversy and debate [32].…”

Section: Discussion and Concluding Remarksmentioning

confidence: 99%

“…In [31], it was further demonstrated that, with an imposed initial defect in the polymer concentration, the velocity would still reach a banded steady-state despite undergoing a non-trivial temporal evolution. For the Taylor-Couette geometry, shear bands have been observed at significantly lower times, hence making the Taylor-Couette geometry ideally suited for experimental studies, [32].…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, a number of these research groups have worked collaboratively in these investigations, therefore limiting the diversity of research methodologies for such studies even further. Given that the presence of shear banding in experimental flows as well as the exact mechanisms for shear banding on both steady and transient flows are all still open questions, [32], our present investigation therefore seeks to add to the diversity of the body of research methodologies. In particular, we employ finite volume methodologies, on the OpenFOAM software platform, in order to investigate shear banding in the transient shear flow of polymer solutions as modelled via the two-fluid Rolie-Poly constitutive equation.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Study of Shear Banding in Flows of Fluids Governed by the Rolie-Poly Two-Fluid Model via Stabilized Finite Volume Methods

Abuga

Chinyoka

2020

Processes

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The flow of viscoelastic fluids may, under certain conditions, exhibit shear-banding characteristics that result from their susceptibility to unusual flow instabilities. In this work, we explore both the existing shear banding mechanisms in the literature, namely; constitutive instabilities and flow-induced inhomogeneities. Shear banding due to constitutive instabilities is modelled via either the Johnson–Segalman or the Giesekus constitutive models. Shear banding due to flow-induced inhomogeneities is modelled via the Rolie–Poly constitutive model. The Rolie–Poly constitutive equation is especially chosen because it expresses, precisely, the shear rheometry of polymer solutions for a large number of strain rates. For the Rolie–Poly approach, we use the two-fluid model wherein the stress dynamics are coupled with concentration equations. We follow a computational analysis approach via an efficient and versatile numerical algorithm. The numerical algorithm is based on the Finite Volume Method (FVM) and it is implemented in the open-source software package, OpenFOAM. The efficiency of our numerical algorithms is enhanced via two possible stabilization techniques, namely; the Log-Conformation Reformulation (LCR) and the Discrete Elastic Viscous Stress Splitting (DEVSS) methodologies. We demonstrate that our stabilized numerical algorithms accurately simulate these complex (shear banded) flows of complex (viscoelastic) fluids. Verification of the shear-banding results via both the Giesekus and Johnson-Segalman models show good agreement with existing literature using the DEVSS technique. A comparison of the Rolie–Poly two-fluid model results with existing literature for the concentration and velocity profiles is also in good agreement.

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Section: Discussion and Concluding Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Study of Shear Banding in Flows of Fluids Governed by the Rolie-Poly Two-Fluid Model via Stabilized Finite Volume Methods

Abuga

Chinyoka

2020

Processes

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“…Predictions of the concentration profiles in entangled polymeric systems [34] depict a sudden decrease (quasi-step like) of concentration at a given position in the flow cell, and this change occurs nearer to the moving wall when the shear rate is smaller. These predictions agree qualitatively with those depicted in Figures 4 and 5 of the present paper.…”

Section: Discussionmentioning

confidence: 99%

“…Substitution of Equations (36) and (34) in (33) leads to a fifth and third order equation for the shear rate and fluidity, respectively:…”

Section: Steady-state Solutionmentioning

confidence: 99%

Inhomogeneous Flow of Wormlike Micelles: Predictions of the Generalized BMP Model with Normal Stresses

García-Sandoval

Bautista

Puig

et al. 2019

Fluids

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In this work, we examine the shear-banding flow in polymer-like micellar solutions with the generalized Bautista-Manero-Puig (BMP) model. The couplings between flow, structural parameters, and diffusion naturally arise in this model, derived from the extended irreversible thermodynamics (EIT) formalism. Full tensorial expressions derived from the constitutive equations of the model, in addition to the conservation equations, apply for the case of simple shear flow, in which gradients of the parameter representing the structure of the system and concentration vary in the velocity gradient direction. The model predicts shear-banding, concentration gradients, and jumps in the normal stresses across the interface in shear-banding flows.

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Distinguishing shear banding from shear thinning in flows with a shear stress gradient

et al. 2017

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Shear banding predictions for the two-fluid Rolie-Poly model

Cited by 27 publications

References 43 publications

Numerical Study of Shear Banding in Flows of Fluids Governed by the Rolie-Poly Two-Fluid Model via Stabilized Finite Volume Methods

Numerical Study of Shear Banding in Flows of Fluids Governed by the Rolie-Poly Two-Fluid Model via Stabilized Finite Volume Methods

Inhomogeneous Flow of Wormlike Micelles: Predictions of the Generalized BMP Model with Normal Stresses

Distinguishing shear banding from shear thinning in flows with a shear stress gradient

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