Department of Fisica Aplicada, Universitat Politècnica de Catalunya, Girona s/n, Modul B4 Campus Nord, 08034 Barcelona, Spain.
Universidad de Málaga, Campus de Teatinos, s/n, 29071, Málaga, Spain.
Philos Trans A Math Phys Eng Sci. 2023 May;381(2246):20220227. doi: 10.1098/rsta.2022.0227. Epub 2023 Mar 13.
We present direct numerical simulations of the Taylor-Couette flow of a dilute polymer solution when only the inner cylinder rotates and the curvature of the system is moderate ([Formula: see text]). The finitely extensible nonlinear elastic-Peterlin closure is used to model the polymer dynamics. The simulations have revealed the existence of a novel elasto-inertial rotating wave characterized by arrow-shaped structures of the polymer stretch field aligned with the streamwise direction. This rotating wave pattern is comprehensively characterized, including an analysis of its dependence on the dimensionless Reynolds and Weissenberg numbers. Other flow states having arrow-shaped structures coexisting with other types of structures have also been identified for the first time in this study and are briefly discussed. This article is part of the theme issue 'Taylor-Couette and related flows on the centennial of Taylor's seminal paper (Part 2)'.
我们呈现了在只有内筒旋转且系统曲率适中（[公式]）时，稀聚合物溶液的泰勒-库埃特流动的直接数值模拟。有限可拉伸非线性弹性-Peterlin 封闭模型用于模拟聚合物动力学。模拟揭示了存在一种新型的弹-惯性旋转波，其特征是聚合物拉伸场的箭头状结构与流向一致。本文全面地描述了这种旋转波模式，包括对其依赖无量纲雷诺数和威森伯格数的分析。本文首次在研究中还发现了其他具有箭头状结构的流动状态与其他类型的结构共存，并对其进行了简要讨论。本文是主题为“泰勒-库埃特流动和相关流动百年纪念特刊（第 2 部分）”的一部分。
