On the role of pressure in elasto-inertial turbulence

Terrapon, Vincent; Dubief, Yves; Soria, Julio

doi:10.1080/14685248.2014.952430

Cited by 32 publications

(43 citation statements)

References 20 publications

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“…This is corroborated by some recent numerical studies of moderate Reynolds number decaying isotropic turbulence. At moderate Reynolds number and high elasticity, such a coexistence of inertial turbulence and elastic turbulence was also observed in channel flow and pipe flow and was called elastoinertial turbulence (EIT) [35][36][37]. This type of flow is peculiar because it is found both at subcritical Reynolds numbers and well beyond the critical Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

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Small scale dynamics of isotropic viscoelastic turbulence

et al. 2016

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The comparison of the results of direct numerical simulations of isotropic turbulence of Newtonian and viscoelastic fluid provides evidence that viscoelasticity modifies qualitatively the behavior of the smallest scales: we observe a power law in the far dissipation range of the fluid kinetic energy spectrum and we show that it is a robust feature, roughly independent of the large scale dynamics. A detailed analysis of the energy transfer shows that at these scales energy is injected into the fluid flow through polymer relaxation. It is further shown that a part of the total energy is transferred among scales through an interaction of the velocity field with the polymer field.

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Section: Introductionmentioning

confidence: 99%

“…(37)]. The tensor G ij (k) on the right-hand side of this equation can be written, invoking isotropy, as…”

Section: Appendix A: Scaling Of the K −6 Power Law In The Kinetic Enementioning

confidence: 99%

Small scale dynamics of isotropic viscoelastic turbulence

et al. 2016

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“…One is the longstanding question of the nature, Newtonian or Non-Newtonian, of the maximum drag reduction (MDR) state, observed by Virk [2]. A second, possibly related to the first, is the role of a recently discovered turbulent state, elasto-inertial turbulence [3][4][5], in the dynamics of drag reduced flows. This letter first focuses on the latter through an investigation of the dimensionality and role of small scale dynamics of EIT in channel flows at a marginally supercritical Reynolds number for three-dimensional flows.…”

Section: Introductionmentioning

confidence: 99%

“…EIT [3][4][5] is a turbulent state driven by cyclic flow-polymer interactions, and can be found over a wide range of Reynolds numbers, from sub-critical to super-critical. This polymer-driven turbulence is akin to elastic turbulence [14][15][16], a chaotic state found in inertial-less polymer flows undergoing curved mean streamlines.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional dynamics of elasto-inertial turbulence and its role in polymer drag reduction

2018

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The goal of the present study is threefold: (i) to demonstrate the two-dimensional nature of the elasto-inertial instability in elasto-inertial turbulence (EIT), (ii) to identify the role of the bidimensional instability in three-dimensional EIT flows and (iii) to establish the role of the small elastic scales in the mechanism of self-sustained EIT. Direct numerical simulations of FENE-P fluid flows are performed in both two-and three-dimensional straight periodic channels. The Reynolds number is set to Reτ = 85 which is sub-critical for two-dimensional flows but beyond transition for three-dimensional ones. The polymer properties selected correspond to those of typical dilute polymer solutions and two moderate Weissenberg numbers, Wiτ = 40, 100, are considered. The simulation results show that sustained turbulence can be observed in two-dimensional sub-critical flows, confirming the existence of a bi-dimensional elasto-inertial instability. The same type of instability is also observed in three-dimensional simulations where both Newtonian and elasto-inertial turbulent structures co-exist. Depending on the Wi number, one type of structure can dominate and drive the flow. For large Wi values, the elasto-inertial instability tends to prevail over the Newtonian turbulence. This statement is supported by (i) the absence of the typical Newtonian near-wall vortices and (ii) strong similarities between two-and three-dimensional flows when considering larger Wi numbers. The role of the small elastic scales is investigated by introducing global artificial diffusion (GAD) in the hyperbolic transport equation for polymers. The aim is to measure how the flow reacts when the smallest elastic scales are progressively filtered out. The study results show that the introduction of large polymer diffusion in the system strongly damps a significant part of the elastic scales that are necessary to feed turbulence, eventually leading to the flow laminarization. A sufficiently high Schmidt number (weakly diffusive polymers) is necessary to allow self-sustained turbulence to settle. Although EIT can withstand a low amount of diffusion and remains in a non-laminar chaotic state, adding a finite amount of GAD in the system can have an impact on the dynamics and lead to important quantitative changes, even for Schmidt numbers as large as 10 2 . * vincent.terrapon@ulg.ac.be arXiv:1710.01199v1 [physics.flu-dyn] 3 Oct 2017 2

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“…Fig. 11 Terrapon et al (2015) . The square shows the corresponding area of the CV/CCV structure observed in Fig.…”

Section: Vortex Arrangementmentioning

confidence: 96%