{"title":"关于完全发展的空间演化轴对称尾流中湍流/非湍流界面的结构","authors":"Weijun Yin , YuanLiang Xie , Xinxian Zhang , Yi Zhou","doi":"10.1016/j.taml.2022.100404","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, we numerically study the structure of the turbulent/nonturbulent (T/NT) interface in a fully developed spatially evolving axisymmetric wake by means of direct numerical simulations. There is a continuous and contorted pure shear layer (PSL) adjacent to the outer edge of the T/NT interface. The local thickness of the PSL <span><math><msub><mi>δ</mi><mrow><mi>P</mi><mi>S</mi><mi>L</mi></mrow></msub></math></span> exhibits a wide range of scales (from the Kolmogorov scale to the Taylor microscale) and the conditional mean thickness <span><math><mrow><mrow><mo>〈</mo><msub><mi>δ</mi><mrow><mi>P</mi><mi>S</mi><mi>L</mi></mrow></msub><mo>〉</mo></mrow><msub><mrow></mrow><mi>I</mi></msub><mo>/</mo><msub><mi>η</mi><mi>c</mi></msub><mo>≈</mo><mn>6</mn></mrow></math></span> with <span><math><msub><mi>η</mi><mi>c</mi></msub></math></span> being the centerline Kolmogorov scale is the same as the viscous superlayer. In the viscous superlayer, the pure shear motions without rotation are overwhelmingly dominant. It is also demonstrated that the physics of the turbulent sublayer is closely related to the PSL with a large thickness. Another significant finding is that the time averaged area of the rotational region <span><math><mrow><mo>〈</mo><msub><mi>A</mi><mi>R</mi></msub><mo>〉</mo></mrow></math></span>, and the pure shear region <span><math><mrow><mo>〈</mo><msub><mi>A</mi><mi>S</mi></msub><mo>〉</mo></mrow></math></span> at different streamwise locations scale with the square of the wake-width <span><math><msup><mrow><msub><mi>b</mi><mi>U</mi></msub></mrow><mn>2</mn></msup></math></span>. This study opens an avenue for a better understanding of the structures of the T/NT interface.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.2000,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the structure of the turbulent/non-turbulent interface in a fully developed spatially evolving axisymmetric wake\",\"authors\":\"Weijun Yin , YuanLiang Xie , Xinxian Zhang , Yi Zhou\",\"doi\":\"10.1016/j.taml.2022.100404\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this work, we numerically study the structure of the turbulent/nonturbulent (T/NT) interface in a fully developed spatially evolving axisymmetric wake by means of direct numerical simulations. There is a continuous and contorted pure shear layer (PSL) adjacent to the outer edge of the T/NT interface. The local thickness of the PSL <span><math><msub><mi>δ</mi><mrow><mi>P</mi><mi>S</mi><mi>L</mi></mrow></msub></math></span> exhibits a wide range of scales (from the Kolmogorov scale to the Taylor microscale) and the conditional mean thickness <span><math><mrow><mrow><mo>〈</mo><msub><mi>δ</mi><mrow><mi>P</mi><mi>S</mi><mi>L</mi></mrow></msub><mo>〉</mo></mrow><msub><mrow></mrow><mi>I</mi></msub><mo>/</mo><msub><mi>η</mi><mi>c</mi></msub><mo>≈</mo><mn>6</mn></mrow></math></span> with <span><math><msub><mi>η</mi><mi>c</mi></msub></math></span> being the centerline Kolmogorov scale is the same as the viscous superlayer. In the viscous superlayer, the pure shear motions without rotation are overwhelmingly dominant. It is also demonstrated that the physics of the turbulent sublayer is closely related to the PSL with a large thickness. Another significant finding is that the time averaged area of the rotational region <span><math><mrow><mo>〈</mo><msub><mi>A</mi><mi>R</mi></msub><mo>〉</mo></mrow></math></span>, and the pure shear region <span><math><mrow><mo>〈</mo><msub><mi>A</mi><mi>S</mi></msub><mo>〉</mo></mrow></math></span> at different streamwise locations scale with the square of the wake-width <span><math><msup><mrow><msub><mi>b</mi><mi>U</mi></msub></mrow><mn>2</mn></msup></math></span>. This study opens an avenue for a better understanding of the structures of the T/NT interface.</p></div>\",\"PeriodicalId\":46902,\"journal\":{\"name\":\"Theoretical and Applied Mechanics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2023-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Applied Mechanics Letters\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2095034922000848\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Mechanics Letters","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2095034922000848","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 1
摘要
在这项工作中,我们通过直接数值模拟的方法对完全发展的空间演化轴对称尾迹中湍流/非湍流(T/NT)界面的结构进行了数值研究。在T/NT界面外缘附近存在连续变形的纯剪切层(PSL)。PSL的局部厚度δPSL具有广泛的尺度(从Kolmogorov尺度到Taylor微尺度),以ηc为中心线的条件平均厚度< δPSL > I/ηc≈6与黏性超层相同。在粘性超层中,无旋转的纯剪切运动占绝对优势。湍流亚层的物理性质与大厚度的PSL密切相关。另一个重要的发现是,在不同的流向位置,旋转区域< AR >和纯剪切区域< AS >的时间平均面积与尾迹宽度bU2的平方成正比。这项研究为更好地理解T/NT界面结构开辟了一条途径。
On the structure of the turbulent/non-turbulent interface in a fully developed spatially evolving axisymmetric wake
In this work, we numerically study the structure of the turbulent/nonturbulent (T/NT) interface in a fully developed spatially evolving axisymmetric wake by means of direct numerical simulations. There is a continuous and contorted pure shear layer (PSL) adjacent to the outer edge of the T/NT interface. The local thickness of the PSL exhibits a wide range of scales (from the Kolmogorov scale to the Taylor microscale) and the conditional mean thickness with being the centerline Kolmogorov scale is the same as the viscous superlayer. In the viscous superlayer, the pure shear motions without rotation are overwhelmingly dominant. It is also demonstrated that the physics of the turbulent sublayer is closely related to the PSL with a large thickness. Another significant finding is that the time averaged area of the rotational region , and the pure shear region at different streamwise locations scale with the square of the wake-width . This study opens an avenue for a better understanding of the structures of the T/NT interface.
期刊介绍:
An international journal devoted to rapid communications on novel and original research in the field of mechanics. TAML aims at publishing novel, cutting edge researches in theoretical, computational, and experimental mechanics. The journal provides fast publication of letter-sized articles and invited reviews within 3 months. We emphasize highlighting advances in science, engineering, and technology with originality and rapidity. Contributions include, but are not limited to, a variety of topics such as: • Aerospace and Aeronautical Engineering • Coastal and Ocean Engineering • Environment and Energy Engineering • Material and Structure Engineering • Biomedical Engineering • Mechanical and Transportation Engineering • Civil and Hydraulic Engineering Theoretical and Applied Mechanics Letters (TAML) was launched in 2011 and sponsored by Institute of Mechanics, Chinese Academy of Sciences (IMCAS) and The Chinese Society of Theoretical and Applied Mechanics (CSTAM). It is the official publication the Beijing International Center for Theoretical and Applied Mechanics (BICTAM).