Active and hibernating turbulence in drag-reducing plane Couette flows

Pereira, Anselmo Soeiro; Mompean, Gilmar; Thais, Laurent; Soares, Edson J.; Thompson, Roney L.

doi:10.1103/physrevfluids.2.084605

Cited by 30 publications

(29 citation statements)

References 13 publications

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“…2007; White & Mungal 2008; Pereira et al. 2017 a , b ; Teng et al. 2018), in viscoelastic RPCF, two maxima appear in near the walls; these peak values increase continuously as is enhanced.…”

Section: Resultsmentioning

confidence: 97%

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Polymer-induced flow relaminarization and drag enhancement in spanwise-rotating plane Couette flow

et al. 2020

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Section: Resultsmentioning

confidence: 97%

“…Specifically, much weaker roll cells are observed as compared to their Newtonian counterparts (Pereira et al. 2017 a , b ; Teng et al. 2018).…”

Section: Introductionmentioning

confidence: 99%

Polymer-induced flow relaminarization and drag enhancement in spanwise-rotating plane Couette flow

et al. 2020

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“…2007) but many aspects still deserve more investigations (Thais, Gatski & Mompean 2012, 2013 a , b ; Graham 2014; Pereira 2016; Pereira et al. 2017 a , b , c , d ; Pereira, Mompean & Soares 2018), and we can consider that this subject is another open issue in turbulence. Probably the most important result obtained so far is the existence of a limiting situation where DR is saturated, i.e.…”

Section: Introductionmentioning

confidence: 93%

Common features between the Newtonian laminar–turbulent transition and the viscoelastic drag-reducing turbulence

2019

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The transition from laminar to turbulent flows has challenged the scientific community since the seminal work of Reynolds (Phil. Trans. R. Soc. Lond. A, vol. 174, 1883, pp. 935–982). Recently, experimental and numerical investigations on this matter have demonstrated that the spatio-temporal dynamics that are associated with transitional flows belong to the directed percolation class. In the present work, we explore the analysis of laminar–turbulent transition from the perspective of the recent theoretical development that concerns viscoelastic turbulence, i.e. the drag-reducing turbulent flow obtained from adding polymers to a Newtonian fluid. We found remarkable fingerprints of the variety of states that are present in both types of flows, as captured by a series of features that are known to be present in drag-reducing viscoelastic turbulence. In particular, when compared to a Newtonian fully turbulent flow, the universal nature of these flows includes: (i) the statistical dynamics of the alternation between active and hibernating turbulence; (ii) the weakening of elliptical and hyperbolic structures; (iii) the existence of high and low drag reduction regimes with the same boundary; (iv) the relative enhancement of the streamwise-normal stress; and (v) the slope of the energy spectrum decay with respect to the wavenumber. The maximum drag reduction profile was attained in a Newtonian flow with a Reynolds number near the boundary of the laminar regime and in a hibernating state. It is generally conjectured that, as the Reynolds number increases, the dynamics of the intermittency that characterises transitional flows migrate from a situation where heteroclinic connections between the upper and the lower branches of solutions are more frequent to another where homoclinic orbits around the upper solution become the general rule.

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“…Pereira et al [15] studied the polymer–turbulence interactions from an energetic standpoint for a range of Weissenberg numbers and found a cyclic mechanism of energy exchange between the polymers and turbulence that drives the flow through an oscillatory behavior. They also addressed the numerical simulation of thermo-fluid characteristics of triangular jets [16]. However, DNS needs numerous storages of the computer because very dense mesh is required to resolve small eddies in turbulent drag-reducing flow, such that computational time is too long to be accepted in engineering.…”

Section: Introductionmentioning

confidence: 99%

Reynolds Stress Model for Viscoelastic Drag-Reducing Flow Induced by Polymer Solution

Wang

2019

Polymers

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Viscoelasticity drag-reducing flow by polymer solution can reduce pumping energy of pipe flow significantly. One of the simulation manners is direct numerical simulation (DNS). However, the computational time is too long to accept in engineering. Turbulent model is a powerful tool to solve engineering problems because of its fast computational ability. However, its precision is usually low. To solve this problem, we introduce DNS to provide accurate data to construct a high-precision turbulent model. A Reynolds stress model for viscoelastic polymer drag-reducing flow is established. The rheological behavior of the drag-reducing flow is described by the Giesekus constitutive Equation. Compared with the DNS data, mean velocity, mean conformation tensor, drag reduction, and stresses are predicted accurately in low Reynolds numbers and Weissenberg numbers but worsen as the two numbers increase. The computational time of the Reynolds stress model (RSM) is only 1/120,960 of DNS, showing the advantage of computational speed.

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Active and hibernating turbulence in drag-reducing plane Couette flows

Cited by 30 publications

References 13 publications

Polymer-induced flow relaminarization and drag enhancement in spanwise-rotating plane Couette flow

Polymer-induced flow relaminarization and drag enhancement in spanwise-rotating plane Couette flow

Common features between the Newtonian laminar–turbulent transition and the viscoelastic drag-reducing turbulence

Reynolds Stress Model for Viscoelastic Drag-Reducing Flow Induced by Polymer Solution

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