The configurations of a FENE bead-spring chain in transient rheological flows and in a turbulent flow

Massah, H.; Kontomaris, K.; Schowalter, W. R.; Hanratty, Thomas J.

doi:10.1063/1.858634

Cited by 42 publications

(19 citation statements)

References 16 publications

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“…By comparing the performance of the various polymer models in the same flow field, we obtain a quantitative estimate of the error associated with the FENE-P model. Our approach is similar to the one taken by Zhou and Akhavan (2003) and others (Massah and Hanratty 1997, Massah et al 1993. However, those studies focused on inhomogeneous turbulent channel flow, where the statistics of the trajectory are a strong function of the initial condition.…”

Section: Introductionmentioning

confidence: 72%

Dynamics of dissolved polymer chains in isotropic turbulence

Jin¹,

Collins²

2007

New J. Phys.

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Section: Introductionmentioning

confidence: 72%

Dynamics of dissolved polymer chains in isotropic turbulence

Jin¹,

Collins²

2007

New J. Phys.

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“…Massah and co-workers performed simulations of a FENE beadspring chain in a direct numerical simulation of turbulent channel flow and found that in the buffer region the extension and orientation of the polymer fluctuate with time, and the transient polymer stretch is significantly larger than its coiled equilibrium length. 35 This result is only seen when the product of the polymer relaxation time and the characteristic wall shear rate ͑a nominal Weissenberg number We͒ exceeds a certain threshold. Later work by the same group found that the stresses introduced by the stretched polymers in a turbulent flow lead to added dissipations, both positive and negative.…”

Section: Polymers In Lagrangian Time-dependent Flowsmentioning

confidence: 99%

Polymer dynamics in a model of the turbulent buffer layer

Stone

Graham

2003

Physics of Fluids

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A Brownian dynamics study of bead-spring-chain polymer dynamics is undertaken in a model flow that captures key features of the buffer region of near-wall turbulence-wavy streamwise vortices superimposed on a mean shear. In this flow and in any Lagrangian chaotic flow, a Hookean dumbbell polymer will stretch indefinitely if and only if the Weissenberg number based on the largest Lyapunov exponent for the velocity field is у 1 2 . In the flow investigated here, this criterion is found to be good predictor of when the stretch of finitely extensible chains approaches its maximum value. The chains become highly stretched in the streamwise streaks and relax as they move into and around the vortex cores, leading to large differences in stress in different regions of the flow. Hydrodynamic and excluded volume interactions between polymer segments have no qualitative effects once results are normalized for the change in relaxation time due to their inclusion. The results from the bead-spring-chain models are used to assess the utility of the simpler FENE-P model. Although the FENE-P model does not capture the hysteresis in stress that is seen with the bead-spring-chain models, it otherwise qualitatively captures the behavior of the bead-spring chains. Most importantly, large polymer stress in the flow is seen at the same spatial positions for both the FENE-P and the more detailed models.

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“…The model consisting of only N = 2 beads is known as the finitely extensible nonlinear elastic (FENE) dumbbell model [1]. The molecular approach is suitable for studying the deformation of passively transported polymers [9][10][11][12][13][14][15][16][17][18][19][20][21]. Molecular dynamics has also been employed in combination with standard Eulerian techniques to simulate viscoelastic flows (see the CONNFFESSIT [22,23] and BCF [24] approaches).…”

Section: Introductionmentioning

confidence: 99%

Impact of the Peterlin approximation on polymer dynamics in turbulent flows

et al. 2015

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We study the impact of the Peterlin approximation on the statistics of the end-to-end separation of polymers in a turbulent flow. The finitely extensible nonlinear elastic (FENE) model and the FENE model with the Peterlin approximation (FENE-P) are numerically integrated along a large number of Lagrangian trajectories resulting from a direct numerical simulation of three-dimensional homogeneous isotropic turbulence. Although the FENE-P model yields results in qualitative agreement with those of the FENE model, quantitative differences emerge. The steady-state probability of large extensions is overestimated by the FENE-P model. The alignment of polymers with the eigenvectors of the rate-of-strain tensor and with the direction of vorticity is weaker when the Peterlin approximation is used. At large Weissenberg numbers, the correlation times of both the extension and of the orientation of polymers are underestimated by the FENE-P model.

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The configurations of a FENE bead-spring chain in transient rheological flows and in a turbulent flow

Cited by 42 publications

References 16 publications

Dynamics of dissolved polymer chains in isotropic turbulence

Dynamics of dissolved polymer chains in isotropic turbulence

Polymer dynamics in a model of the turbulent buffer layer

Impact of the Peterlin approximation on polymer dynamics in turbulent flows

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