IMT Nord Europe, Institut Mines-Télécom, Univ. Lille, Centre for Energy and Environment, Lille 59000, France.
Univ. Lille, CNRS, Centrale Lille, Univ. Polytechnique Hauts-de-France, UMR 8520-IEMN-Institut d'Electronique de Microélectronique et de Nanotechnologie, Lille 59000, France.
Philos Trans A Math Phys Eng Sci. 2023 May;381(2246):20220300. doi: 10.1098/rsta.2022.0300. Epub 2023 Mar 13.
Dynamic properties of elasto-inertial turbulence (EIT) are studied in a Taylor-Couette geometry. EIT is a chaotic flow state that develops upon both non-negligible inertia and viscoelasticity. A combination of direct flow visualization and torque measurement allows to verify the earlier onset of EIT compared with purely inertial instabilities (and inertial turbulence). The scaling of the pseudo-Nusselt number with inertia and elasticity is discussed here for the first time. Variations in the friction coefficient, temporal frequency spectra and spatial power density spectra highlight that EIT undergoes an intermediate behaviour before transitioning to its fully developed chaotic state that requires both high inertia and elasticity. During this transition, the contribution of secondary flows to the overall friction dynamics is limited. This is expected to be of great interest in the aim of achieving efficiency mixing at low drag and low but finite Reynolds number. This article is part of the theme issue "Taylor-Couette and related flows on the centennial of Taylor's seminal paper (Part 2)".
在泰勒-库埃特几何中研究了弹惯性湍流（EIT）的动态特性。EIT 是一种在不可忽略的惯性和粘弹性作用下发展起来的混沌流态。直接流可视化和扭矩测量的结合允许验证与纯惯性不稳定性（和惯性湍流）相比，EIT 更早地出现。本文首次讨论了伪努塞尔数与惯性和弹性的标度关系。摩擦系数、时间频谱和空间功率谱密度的变化表明，EIT 在向其完全发展的混沌状态过渡之前经历了一个中间状态，这需要高惯性和弹性。在这个过渡过程中，二次流对整体摩擦动力学的贡献是有限的。这对于在低阻力和低但有限的雷诺数下实现高效混合的目标具有重要意义。本文是主题为“泰勒-库埃特和相关流百年纪念泰勒开创性论文（第 2 部分）”的一部分。
