Simulated polymer stretch in a turbulent flow using Brownian dynamics

Terrapon, Vincent; Dubief, Yves; Moin, Parviz; Shaqfeh, Eric S. G.; Lele, Sanjiva K.

doi:10.1017/s0022112004008250

Cited by 84 publications

(74 citation statements)

References 23 publications

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“…A similar argument, however, does not carry over to inhomogeneous flows such as channel flows. In this case, indeed, drag reduction is caused by the strong stretching of polymers in the near-wall region rather than by the dynamics in the bulk of the channel, where the flow is homogeneous and isotropic, and a lower degree of stretching is observed [2,10,[12][13][14]21].…”

Section: Discussionmentioning

confidence: 87%

“…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%

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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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Section: Discussionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Impact of the Peterlin approximation on polymer dynamics in turbulent flows

et al. 2015

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“…Polymers fit at the center of this cycle by extracting energy from the vortices and releasing energy in the streaks. The stretching of polymers is governed by the mean shear and non-linear interactions as shown in Terrapon et al (2004). This simple mechanism appears to apply to LDR and HDR regime, as a matter of fact, it should apply to any regime where streaks and vortices are present.…”

Section: Discussionmentioning

confidence: 99%

“…We different flow types can stretch the polymer molecule, but only bursts of biaxial extensional flow can fully extend it (Terrapon et al, 2004).…”

Section: At Highermentioning

confidence: 99%

Direct Numerical Simulation of Turbulent Drag Reduction: Molecular Modeling Molecular Optimization and Modeling without Consititutive Equations

Shaqfeh¹,

Moln²,

Lele³

et al. 2003

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“…Accordingly, the model with large Stokes drag exhibits large elongation. Large elongation of polymers was observed in straining flows by Eckhardt et al (2002), Davoudi and Schumacher (2006), Bagheri et al (2012), and Terrapon et al (2004). The elongation in Case 4, which involves no drag reduction, is almost zero.…”

Section: Drag-reduced Turbulent Channel Flowmentioning

confidence: 90%

Influence of length of polymer aggregation on turbulent friction drag reduction effect

Fujimura

Iwamoto

Murata

et al. 2017

JFST

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The influence of the length of polymer aggregation on the turbulent drag reduction effect is investigated through numerical simulation. Polymer aggregation is modeled using a bead-spring chain model, which is a discrete element model. Simulations are carried out for different total natural lengths of the model at a friction Reynolds number of 180, and the numerical results for different spring constants by Fujimura et al. (2016) are analyzed. In addition, the time scale of the model, which corresponds to relaxation time, is investigated using oscillating Couette flow. Relaxation time increases as the total natural length increases and the spring constant decreases, and the drag reduction rate in turbulent channel flow increases with relaxation time. In the present study, it is determined that relaxation time is correlated with the length of the elongated model in turbulent channel flow. The relation between the drag reduction rate and the length of the elongated model can be expressed by a logarithmic function. According to the relational expression, it is expected that the drag reduction effect occurs when the length of the elongated model is longer than the diameter of vortical structures. In the visualization of turbulent flow field, it can be observed that longer models exhibit strong energy dissipation through interaction with the fluid, and suppress velocity fluctuations.

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Simulated polymer stretch in a turbulent flow using Brownian dynamics

Cited by 84 publications

References 23 publications

Impact of the Peterlin approximation on polymer dynamics in turbulent flows

Impact of the Peterlin approximation on polymer dynamics in turbulent flows

Direct Numerical Simulation of Turbulent Drag Reduction: Molecular Modeling Molecular Optimization and Modeling without Consititutive Equations

Influence of length of polymer aggregation on turbulent friction drag reduction effect

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