Journal of Fluid Mechanics最新文献

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Heat transport in liquid metal convection from onset to turbulence: the effect of small aspect ratio 液态金属对流中从起始到湍流的热传输:小长径比的影响
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-13 DOI: 10.1017/jfm.2024.630
Lei Ren, Xin Tao, Lu Zhang, Ke-Qing Xia, Yi-Chao Xie
{"title":"Heat transport in liquid metal convection from onset to turbulence: the effect of small aspect ratio","authors":"Lei Ren, Xin Tao, Lu Zhang, Ke-Qing Xia, Yi-Chao Xie","doi":"10.1017/jfm.2024.630","DOIUrl":"https://doi.org/10.1017/jfm.2024.630","url":null,"abstract":"We present a systematic study on the effects of small aspect ratios <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline1.png\"/> <jats:tex-math>$varGamma$</jats:tex-math> </jats:alternatives> </jats:inline-formula> on heat transport in liquid metal convection with a Prandtl number of <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline2.png\"/> <jats:tex-math>$Pr=0.029$</jats:tex-math> </jats:alternatives> </jats:inline-formula>. The study covers <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline3.png\"/> <jats:tex-math>$1/20le varGamma le 1$</jats:tex-math> </jats:alternatives> </jats:inline-formula> experimentally and <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline4.png\"/> <jats:tex-math>$1/50le varGamma le 1$</jats:tex-math> </jats:alternatives> </jats:inline-formula> numerically, and a Rayleigh number <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline5.png\"/> <jats:tex-math>$Ra$</jats:tex-math> </jats:alternatives> </jats:inline-formula> range of <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline6.png\"/> <jats:tex-math>$4times 10^3 le Ra le 7times 10^{9}$</jats:tex-math> </jats:alternatives> </jats:inline-formula>. It is found experimentally that the local effective heat transport scaling exponent <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline7.png\"/> <jats:tex-math>$gamma$</jats:tex-math> </jats:alternatives> </jats:inline-formula> changes with both <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline8.png\"/> <jats:tex-math>$Ra$</jats:tex-math> </jats:alternatives> </jats:inline-formula> and <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline9.png\"/> <jats:tex-math>$varGamma$</jats:tex-math> </jats:alternatives> </jats:inline-formula>, attaining a <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002211202400630X_inline10.png\"/> <jats:tex-math>$varGamma$</jats:tex-math> </jats:alternatives> </jats:inline-formula>-dependent maximum value before transition-to-turbulence and appro","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"75 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142256255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relative dispersion in free-surface turbulence 自由表面湍流中的相对弥散
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-13 DOI: 10.1017/jfm.2024.637
Yaxing Li, Yifan Wang, Yinghe Qi, Filippo Coletti
{"title":"Relative dispersion in free-surface turbulence","authors":"Yaxing Li, Yifan Wang, Yinghe Qi, Filippo Coletti","doi":"10.1017/jfm.2024.637","DOIUrl":"https://doi.org/10.1017/jfm.2024.637","url":null,"abstract":"We report on an experimental study in which Lagrangian tracking is applied to millions of microscopic particles floating on the free surface of turbulent water. We leverage a large jet-stirred zero-mean-flow apparatus, where the Reynolds number is sufficiently high for an inertial range to emerge while the surface deformation remains minimal. Two-point statistics reveal specific features of the flow, deviating from the classic description derived for incompressible turbulence. The magnitude of the relative velocity is strongly intermittent, especially at small separations, leading to anomalous scaling of the second-order structure functions in the dissipative range. This is driven by the divergent component of the flow, leading to fast approaching/separation rates of nearby particles. The Lagrangian relative velocity shows strong persistence of the initial state, such that the ballistic pair separation extends to the inertial range of time delays. Based on these observations, we propose a classification of particle pairs based on their initial separation rate. When this is much smaller than the relative velocity prescribed by inertial scaling (which is the case for the majority of the observed particle pairs), the relative velocity transitions to a diffusive growth and the Richardson–Obukhov super-diffusive dispersion is recovered.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"16 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142256261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Swimming efficiently by wrapping 通过包裹提高游泳效率
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-13 DOI: 10.1017/jfm.2024.594
H. Gidituri, M. Ellero, F. Balboa Usabiaga
{"title":"Swimming efficiently by wrapping","authors":"H. Gidituri, M. Ellero, F. Balboa Usabiaga","doi":"10.1017/jfm.2024.594","DOIUrl":"https://doi.org/10.1017/jfm.2024.594","url":null,"abstract":"Single-flagellated bacteria are ubiquitous in nature. They exhibit various swimming modes using their flagella to explore complex surroundings such as soil and porous polymer networks. Some single-flagellated bacteria swim with two distinct modes, one with the flagellum extended away from its body and another with the flagellum wrapped around it. The wrapped mode has been observed when bacteria swim under tight confinements or in highly viscous polymeric melts. In this study we investigate the hydrodynamics of these two modes inside a circular pipe. We find that the wrapped mode is slower than the extended mode in bulk but more efficient under strong confinement due to a hydrodynamic increase of its flagellum translation–rotation coupling and an Archimedes’ screw-like configuration that helps to move the fluid along the pipe.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"31 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142256282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Drag coefficient for irregularly shaped grains: rotational dependence at various Reynolds numbers 不规则形状颗粒的阻力系数:不同雷诺数下的旋转依赖性
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-13 DOI: 10.1017/jfm.2024.562
Álvaro Vergara, Deheng Wei, Raúl Fuentes
{"title":"Drag coefficient for irregularly shaped grains: rotational dependence at various Reynolds numbers","authors":"Álvaro Vergara, Deheng Wei, Raúl Fuentes","doi":"10.1017/jfm.2024.562","DOIUrl":"https://doi.org/10.1017/jfm.2024.562","url":null,"abstract":"<p><img href=\"S0022112024005627_figAb.png\" mimesubtype=\"png\" mimetype=\"image\" orientation=\"\" position=\"\" src=\"https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS0022112024005627/resource/name/S0022112024005627_figAb.png?pub-status=live\" type=\"\"/></p>","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"1 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple stable postures of a falling object in fluids 流体中坠落物体的多种稳定姿态
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-13 DOI: 10.1017/jfm.2024.557
Shuyue Sun, Xinliang Tian, Yakun Zhao, Xing Chen, Binrong Wen, Xiantao Zhang, Xin Li
{"title":"Multiple stable postures of a falling object in fluids","authors":"Shuyue Sun, Xinliang Tian, Yakun Zhao, Xing Chen, Binrong Wen, Xiantao Zhang, Xin Li","doi":"10.1017/jfm.2024.557","DOIUrl":"https://doi.org/10.1017/jfm.2024.557","url":null,"abstract":"We present evidence revealing that an object with specific properties can exhibit multiple stable falling postures at low Reynolds numbers. By scrutinizing the force equilibrium relationship of a fixed object at various attack angles and Reynolds numbers, we introduce a methodology that can obtain the stable falling postures of the object. This method saves computational resources and more intuitively presents the results in the full parameter domain. Our findings are substantiated by free-fall tests conducted through both physical experiments and numerical simulations, which validate the existence of multiple stable solutions in accordance with the interpolation results obtained with fixed objects. Additionally, we quantify the abundance and distribution patterns of stable falling postures for a diverse range of representative shapes. This discovery highlights the existence of multiple stable solutions that are universally present across objects of different shapes. The implications of this research extend to the design, stability control and trajectory prediction of all free and controlled flights in both air and water.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"8 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142256264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Net spanwise flow induced by symmetry-breaking streamwise homogeneous surfaces 打破对称的流向均质表面引起的净跨向流动
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-13 DOI: 10.1017/jfm.2024.634
Oleksandr Zhdanov, Angela Busse
{"title":"Net spanwise flow induced by symmetry-breaking streamwise homogeneous surfaces","authors":"Oleksandr Zhdanov, Angela Busse","doi":"10.1017/jfm.2024.634","DOIUrl":"https://doi.org/10.1017/jfm.2024.634","url":null,"abstract":"The influence of symmetry-breaking effects of ridge-type roughness on secondary currents in turbulent channel flow is investigated using direct numerical simulations. The ridges have triangular cross-section, which is systematically varied from isosceles to right-angled triangle, introducing an imbalance to the slopes of the ridges’ lateral surfaces while the streamwise homogeneity of the surfaces is maintained. In all cases, secondary current vortices are produced, but asymmetric ridge cross-sections break the symmetry of these vortices. As a result of the asymmetry-induced misalignment and imbalance in the secondary current vortices, net spanwise flow emerges. The magnitude of the spanwise flow increases with the slope ratio of the ridge lateral surfaces and significantly modifies the mean flow topology, leading to the merging of critical points in the case of the right-angled triangular ridge shape. Within the cavities, the net spanwise flow is accompanied by a non-zero mean spanwise pressure gradient, while from the perspective of the outer flow, the scalene ridge surfaces have a similar effect as a wall that is slowly moving in the spanwise direction. Overall, the present results suggest the existence of a special type of Prandtl's secondary currents of the second kind, namely those that result in net spanwise flow.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"13 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142256224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Data-driven transient lift attenuation for extreme vortex gust–airfoil interactions 极端涡旋阵风与翼面相互作用的数据驱动瞬态升力衰减
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-10 DOI: 10.1017/jfm.2024.592
Kai Fukami, Hiroya Nakao, Kunihiko Taira
{"title":"Data-driven transient lift attenuation for extreme vortex gust–airfoil interactions","authors":"Kai Fukami, Hiroya Nakao, Kunihiko Taira","doi":"10.1017/jfm.2024.592","DOIUrl":"https://doi.org/10.1017/jfm.2024.592","url":null,"abstract":"We present a data-driven feedforward control to attenuate large transient lift experienced by an airfoil disturbed by an extreme level of discrete vortex gust. The current analysis uses a nonlinear machine-learning technique to compress the high-dimensional flow dynamics onto a low-dimensional manifold. While the interaction dynamics between the airfoil and extreme vortex gust are parametrized by its size, gust ratio and position, the wake responses are well captured on this simple manifold. The effect of extreme vortex disturbance about the undisturbed baseline flows can be extracted in a physically interpretable manner. Furthermore, we call on phase-amplitude reduction to model and control the complex nonlinear extreme aerodynamic flows. The present phase-amplitude reduction model reveals the sensitivity of the dynamical system in terms of the phase shift and amplitude change induced by external forcing with respect to the baseline periodic orbit. By performing the phase-amplitude analysis for a latent dynamical model identified by sparse regression, the sensitivity functions of low-dimensionalized aerodynamic flows for both phase and amplitude are derived. With the phase and amplitude sensitivity functions, optimal forcing can be determined to quickly suppress the effect of extreme vortex gusts towards the undisturbed states in a low-order space. The present optimal flow modification built upon the machine-learned low-dimensional subspace quickly alleviates the impact of transient vortex gusts for a variety of extreme aerodynamic scenarios, providing a potential foundation for flight of small-scale air vehicles in adverse atmospheric conditions.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"21 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The effect of Reynolds number on the separated flow over a low-aspect-ratio wing 雷诺数对低宽比机翼上分离流的影响
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-09-10 DOI: 10.1017/jfm.2024.748
Luke Smith, Kunihiko Taira
{"title":"The effect of Reynolds number on the separated flow over a low-aspect-ratio wing","authors":"Luke Smith, Kunihiko Taira","doi":"10.1017/jfm.2024.748","DOIUrl":"https://doi.org/10.1017/jfm.2024.748","url":null,"abstract":"At high incidence, low-aspect-ratio wings present a unique set of aerodynamic characteristics, including flow separation, vortex shedding and unsteady force production. Furthermore, low-aspect-ratio wings exhibit a highly impactful tip vortex, which introduces strong spanwise gradients into an already complex flow. In this work, we explore the interaction between leading-edge flow separation and a strong, persistent tip vortex over a Reynolds number range of <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007481_inline2.png\"/> <jats:tex-math>$600 leq Re leq 10{,}000$</jats:tex-math> </jats:alternatives> </jats:inline-formula>. In performing this study, we aim to bridge the insight gained from existing low-Reynolds-number studies of separated flow on finite wings (<jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007481_inline3.png\"/> <jats:tex-math>$Re approx 10^2$</jats:tex-math> </jats:alternatives> </jats:inline-formula>) and turbulent flows at higher Reynolds numbers (<jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007481_inline4.png\"/> <jats:tex-math>$Re approx 10^4$</jats:tex-math> </jats:alternatives> </jats:inline-formula>). Our study suggests two primary effects of the Reynolds number. First, we observe a break from periodicity, along with a dramatic increase in the intensity and concentration of small-scale eddies, as we shift from <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007481_inline5.png\"/> <jats:tex-math>$Re = 600$</jats:tex-math> </jats:alternatives> </jats:inline-formula> to <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007481_inline6.png\"/> <jats:tex-math>$Re = 2500$</jats:tex-math> </jats:alternatives> </jats:inline-formula>. Second, we observe that many of our flow diagnostics, including the time-averaged aerodynamic force, exhibit reduced sensitivity to Reynolds number beyond <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007481_inline7.png\"/> <jats:tex-math>$Re = 2500$</jats:tex-math> </jats:alternatives> </jats:inline-formula>, an observation attributed to the stabilising impact of the wing tip vortex. This latter point illustrates the manner by which the tip vortex drives flow over low-aspect-ratio wings, and provides insight into how our existing understanding of this flow field may be adjusted for higher-Reynolds-number applications.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"5 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142207438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simulation and scaling analysis of periodic surfaces with small-scale roughness in turbulent Ekman flow 埃克曼湍流中具有小尺度粗糙度的周期性表面的模拟和缩放分析
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-08-30 DOI: 10.1017/jfm.2024.542
Jonathan Kostelecky, Cedrick Ansorge
{"title":"Simulation and scaling analysis of periodic surfaces with small-scale roughness in turbulent Ekman flow","authors":"Jonathan Kostelecky, Cedrick Ansorge","doi":"10.1017/jfm.2024.542","DOIUrl":"https://doi.org/10.1017/jfm.2024.542","url":null,"abstract":"Roughness of the surface underlying the atmospheric boundary layer causes departures of the near-surface scalar and momentum transport in comparison with aerodynamically smooth surfaces. Here, we investigate the effect of &lt;jats:inline-formula&gt; &lt;jats:alternatives&gt; &lt;jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024005421_inline1.png\"/&gt; &lt;jats:tex-math&gt;$56times 56$&lt;/jats:tex-math&gt; &lt;/jats:alternatives&gt; &lt;/jats:inline-formula&gt; homogeneously distributed roughness elements on bulk properties of a turbulent Ekman flow. Direct numerical simulation in combination with an immersed boundary method is performed for fully resolved, three-dimensional roughness elements. The packing density is approximately &lt;jats:inline-formula&gt; &lt;jats:alternatives&gt; &lt;jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024005421_inline2.png\"/&gt; &lt;jats:tex-math&gt;$10,%$&lt;/jats:tex-math&gt; &lt;/jats:alternatives&gt; &lt;/jats:inline-formula&gt; and the roughness elements have a mean height in wall units of &lt;jats:inline-formula&gt; &lt;jats:alternatives&gt; &lt;jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024005421_inline3.png\"/&gt; &lt;jats:tex-math&gt;$10 lesssim H^+ lesssim 40$&lt;/jats:tex-math&gt; &lt;/jats:alternatives&gt; &lt;/jats:inline-formula&gt;. According to their roughness Reynolds numbers, the cases are transitionally rough, although the roughest case is on the verge of being fully rough. We derive the friction of velocity and of the passive scalar through vertical integration of the respective balances. Thereby, we quantify the enhancement of turbulent activity with increasing roughness height and find a scaling for the friction Reynolds number that is verified up to &lt;jats:inline-formula&gt; &lt;jats:alternatives&gt; &lt;jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024005421_inline4.png\"/&gt; &lt;jats:tex-math&gt;$Re_tau approx 2700$&lt;/jats:tex-math&gt; &lt;/jats:alternatives&gt; &lt;/jats:inline-formula&gt;. The higher level of turbulent activity results in a deeper logarithmic layer for the rough cases and an increase of the near-surface wind veer in spite of higher &lt;jats:inline-formula&gt; &lt;jats:alternatives&gt; &lt;jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024005421_inline5.png\"/&gt; &lt;jats:tex-math&gt;$Re_tau$&lt;/jats:tex-math&gt; &lt;/jats:alternatives&gt; &lt;/jats:inline-formula&gt;. We estimate the von Kármán constant for the horizontal velocity &lt;jats:inline-formula&gt; &lt;jats:alternatives&gt; &lt;jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024005421_inline6.png\"/&gt; &lt;jats:tex-math&gt;$kappa _{m}=0.42$&lt;/jats:tex-math&gt; &lt;/jats:alternatives&gt; &lt;/jats:inline-formula&gt; (offset &lt;jats:inline-formula&gt; &lt;jats:alternatives&gt; &lt;jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024005421_inline7.png\"/&gt; &lt;jats:tex-math&gt;$A=5.44$&lt;/jats:tex-","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"11 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Onset of turbulence in rotor–stator cavity flows 转子-定子空腔流中湍流的发生
IF 3.7 2区 工程技术
Journal of Fluid Mechanics Pub Date : 2024-08-28 DOI: 10.1017/jfm.2024.536
Yaguang Xie, Qiang Du, Lei Xie, Zhicheng Wang, Siyi Li
{"title":"Onset of turbulence in rotor–stator cavity flows","authors":"Yaguang Xie, Qiang Du, Lei Xie, Zhicheng Wang, Siyi Li","doi":"10.1017/jfm.2024.536","DOIUrl":"https://doi.org/10.1017/jfm.2024.536","url":null,"abstract":"Numerous studies have indicated that turbulence typically initiates along the boundary layer of the stationary disk within a rotor–stator cavity. To describe the transition process to turbulence on the stationary side of a closed rotor–stator cavity, a comprehensive approach combining global linear stability analysis with direct numerical simulation was adopted in the present study. The proposed model aligns with that of Yim <jats:italic>et al.</jats:italic> (<jats:italic>J. Fluid Mech.</jats:italic>, vol. 848, 2018, pp. 631–647), who investigated the stability characteristics of the rotating-disk boundary layer in a rotor–stator cavity. In order to achieve a stable inflow for the stationary-disk boundary layer, we rotate the shroud together with the rotating disk. Through careful global stability analysis, the predominant spiral mode exhibiting the highest instability in the boundary layer of the stationary disk was discerned, corroborating observations from simulations. Initially, the spiral mode undergoes linear amplification, reaches a state of linear saturation and enters the nonlinear regime. Following nonlinear saturation in the flow field, a circular wave mode arises due to the influence of mean flow distortion. As the Reynolds number attained a sufficiently high level, the interplay between the downstream-propagating circular mode and spiral mode amplified disturbances in the boundary layer of the stationary disk, ultimately leading to the development of localised turbulence at the mid-radius of the rotor–stator cavity. Notably, the present study is the first to elucidate the coexistence of laminar–transitional–turbulent flow states in the stationary-disk boundary layer through direct numerical simulations.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":"78 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142207439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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