Large-amplitude oscillatory shear flow simulation for a FENE fluid

Gómez-López, Aldo; Ferrer, V.; Rincón, E.; Aguayo, Juan Pablo; Chávez, A. E.; Vargas, René O.

doi:10.1007/s00397-019-01145-z

Cited by 4 publications

(9 citation statements)

References 43 publications

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“…With increased oscillation frequency, the FENE-P response changed to a type III response where G exhibited a strain overshoot, whereas the FENE dumbbell simulations showed a type I response. Recently, some authors have also used a micro-macro approach for modelling standard FENE dumbbells and FENE-type networks in LAOS using a technique known as the Brownian configuration field method (Gómez-López et al 2019;Vargas et al 2023). In the FENE-type network model response, self-intersecting secondary loops were observed in the viscous Lissajous curves when the rate of destruction of micro-structures was faster than the rate of creation of micro-structures.…”

Section: De Amentioning

confidence: 99%

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A comparison between the FENE-P and sPTT constitutive models in large-amplitude oscillatory shear

John,

Poole,

Kowalski

et al. 2024

J. Fluid Mech.

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The finitely extensible nonlinear elastic with Peterlin closure (FENE-P) and simplified Phan-Thien–Tanner (sPTT) viscoelastic models are used widely for modelling of complex fluids. Although they are derived from distinct micro-structural theories, these models can become mathematically identical in steady and homogeneous flows with a particular choice of the values of the model parameters. However, even with this choice of parameter values, the model responses are known to differ from each other in transient flows. In this work, we investigate the responses of the FENE-P and sPTT constitutive models in large-amplitude oscillatory shear (LAOS). In steady shear, the shear stress scales with the non-dimensional group $Wi/(aL)$ ( $Wi\,\sqrt {\epsilon }$ ) for the FENE-P (sPTT) model, where $Wi$ is the Weissenberg number, $L^2$ is the limit of extensibility in the FENE-P model ( $a$ being $L^2/(L^2-3)$ ), and $\epsilon$ is the extensibility parameter in the sPTT model. Our numerical and analytical results show that in LAOS, the FENE-P model shows this universality only for large values of $L^2$ , whereas the sPTT model shows it for all values of $\epsilon$ . In the strongly nonlinear region, there is a drastic difference between the responses of the two models, with the FENE-P model exhibiting strong shear stress overshoots that manifest as self-intersecting secondary loops in the viscous Lissajous curves. We quantify the nonlinearity exhibited by each constitutive model using the sequence of physical processes framework. Despite the high degree of nonlinearity exhibited by the FENE-P model, we also show using fully nonlinear one-dimensional simulations that it does not shear band in LAOS within the range of conditions studied.

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Section: De Amentioning

confidence: 99%

“…Recently, some authors have also used a micro–macro approach for modelling standard FENE dumbbells and FENE-type networks in LAOS using a technique known as the Brownian configuration field method (Gómez-López et al. 2019; Vargas et al. 2023).…”

Section: Introductionmentioning

confidence: 99%

A comparison between the FENE-P and sPTT constitutive models in large-amplitude oscillatory shear

John,

Poole,

Kowalski

et al. 2024

J. Fluid Mech.

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“…After calculating the spatial configuration field, the polymeric stress can be determined by the Kramers expression (19), by using η p and λ [17,31]:that is then used in the momentum equation to calculate the new velocity field. To evaluate the individual contribution of each microstate, (23) and (24) are generalized as follows:…”

Section: Microscopic Equationsmentioning

confidence: 99%

“…The numerical solution for solving under SAOS and LAOS conditions of complex fluids with transient network dynamics is presented. A decoupled micro-macro numerical scheme is used [19]. In the macroscopic part of the numerical scheme, the velocity and pressure are determined at the new time level by solving the conservation equations for a given polymeric contribution to the extra-stress tensor.…”

Section: Numerical Solutionmentioning

confidence: 99%

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Multiscale modeling of complex fluids under SAOS and LAOS using a combined FENE transient network model

et al. 2023

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The multiscale modeling of complex fluids under small and large amplitude oscillatory shear flow using non-linear kinetic and transient network models is presented. The kinetics of microstates is analogous to chemical kinetics, which defines the physical macromolecule interaction in a Newtonian fluid, and the concentration of microstates defines a variable maximum length of extension for each microstate. The effect of important parameters like viscosity ratio, chain length, viscoelasticity, kinetic rate constants, for different initial entanglement scenarios (entangled, disentangled and aleatory) are analyzed. The Lissajous curves for the shear stress and the first normal stress difference versus the instantaneous strain or strain-rate are shown. The self-intersection of the Lissajous curves or secondary loops is shown to depend on the kinetic rate constants, the maximum extension length, and the elasticity.

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Parameter Identification of Technological Equipment for Ensuring the Reliability of the Vibration Separation Process

Pavlenko

Ivanov

Gusak

et al. 2020

4th EAI International Conference on Management of Manufacturing Systems

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Large-amplitude oscillatory shear flow simulation for a FENE fluid

Cited by 4 publications

References 43 publications

A comparison between the FENE-P and sPTT constitutive models in large-amplitude oscillatory shear

A comparison between the FENE-P and sPTT constitutive models in large-amplitude oscillatory shear

Multiscale modeling of complex fluids under SAOS and LAOS using a combined FENE transient network model

Parameter Identification of Technological Equipment for Ensuring the Reliability of the Vibration Separation Process

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