利用弹性湍流在粘弹性流体中进行混合

Reinier van Buel, Holger Stark
{"title":"利用弹性湍流在粘弹性流体中进行混合","authors":"Reinier van Buel, Holger Stark","doi":"arxiv-2409.06391","DOIUrl":null,"url":null,"abstract":"We investigate the influence of elastic turbulence on mixing {of a scalar\nconcentration field} within a viscoelastic fluid in a two-dimensional\nTaylor-Couette geometry using numerical solutions of the Oldroyd-B model. The\nflow state is determined through the secondary-flow order parameter indicating\nthat the transition at the critical Weissenberg number $\\text{Wi}_c$ is\nsubcritical. When {starting in the turbulent state and subsequently} lowering\nthe Weissenberg number, a weakly-chaotic flow occurs below $\\text{Wi}_c$.\nAdvection in both {the turbulent and weakly-chaotic} flow states induces\nmixing, which we illustrate by the time evolution of the standard deviation of\nthe solute concentration from the uniform distribution. In particular, in the\nelastic turbulent state mixing is strong and we quantify it by the mixing rate,\nthe mixing time, and the mixing efficiency. All three quantities follow scaling\nlaws. Importantly, we show that the order parameter is strongly correlated to\nthe mixing rate and hence is also a good indication of mixing within the fluid.","PeriodicalId":501125,"journal":{"name":"arXiv - PHYS - Fluid Dynamics","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mixing in viscoelastic fluids using elastic turbulence\",\"authors\":\"Reinier van Buel, Holger Stark\",\"doi\":\"arxiv-2409.06391\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the influence of elastic turbulence on mixing {of a scalar\\nconcentration field} within a viscoelastic fluid in a two-dimensional\\nTaylor-Couette geometry using numerical solutions of the Oldroyd-B model. The\\nflow state is determined through the secondary-flow order parameter indicating\\nthat the transition at the critical Weissenberg number $\\\\text{Wi}_c$ is\\nsubcritical. When {starting in the turbulent state and subsequently} lowering\\nthe Weissenberg number, a weakly-chaotic flow occurs below $\\\\text{Wi}_c$.\\nAdvection in both {the turbulent and weakly-chaotic} flow states induces\\nmixing, which we illustrate by the time evolution of the standard deviation of\\nthe solute concentration from the uniform distribution. In particular, in the\\nelastic turbulent state mixing is strong and we quantify it by the mixing rate,\\nthe mixing time, and the mixing efficiency. All three quantities follow scaling\\nlaws. Importantly, we show that the order parameter is strongly correlated to\\nthe mixing rate and hence is also a good indication of mixing within the fluid.\",\"PeriodicalId\":501125,\"journal\":{\"name\":\"arXiv - PHYS - Fluid Dynamics\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Fluid Dynamics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.06391\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Fluid Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06391","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

我们利用奥尔德罗伊德-B 模型的数值解法,研究了二维泰勒-库埃特几何中粘弹性流体内部弹性湍流对{标量浓度场}混合的影响。通过二次流阶参数确定了流态,表明在临界韦森伯格数$\text{Wi}_c$处的过渡是次临界的。当{从湍流状态开始并随后}降低魏森堡数时,在$text{Wi}_c$以下会出现弱混沌流。在{湍流和弱混沌}两种流动状态下的平流都会引起混合,我们通过溶质浓度与均匀分布的标准偏差的时间演化来说明这一点。特别是在弹性湍流状态下,混合作用非常强烈,我们用混合率、混合时间和混合效率来量化混合作用。这三个量都遵循缩放规律。重要的是,我们证明了阶次参数与混合率密切相关,因此也是流体内部混合的良好指示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Mixing in viscoelastic fluids using elastic turbulence
We investigate the influence of elastic turbulence on mixing {of a scalar concentration field} within a viscoelastic fluid in a two-dimensional Taylor-Couette geometry using numerical solutions of the Oldroyd-B model. The flow state is determined through the secondary-flow order parameter indicating that the transition at the critical Weissenberg number $\text{Wi}_c$ is subcritical. When {starting in the turbulent state and subsequently} lowering the Weissenberg number, a weakly-chaotic flow occurs below $\text{Wi}_c$. Advection in both {the turbulent and weakly-chaotic} flow states induces mixing, which we illustrate by the time evolution of the standard deviation of the solute concentration from the uniform distribution. In particular, in the elastic turbulent state mixing is strong and we quantify it by the mixing rate, the mixing time, and the mixing efficiency. All three quantities follow scaling laws. Importantly, we show that the order parameter is strongly correlated to the mixing rate and hence is also a good indication of mixing within the fluid.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Additive-feature-attribution methods: a review on explainable artificial intelligence for fluid dynamics and heat transfer Direct and inverse cascades scaling in real shell models of turbulence A new complex fluid flow phenomenon: Bubbles-on-a-String Long-distance Liquid Transport Along Fibers Arising From Plateau-Rayleigh Instability Symmetry groups and invariant solutions of plane Poiseuille flow
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1