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The nature of phase and amplitude modulation in heterodyne background-oriented schlieren systems 外差背景纹影系统中相位和振幅调制的性质
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-25 DOI: 10.1007/s00348-026-04289-w
Sami Tasmany, Robert Kuschmierz, Jakob Woisetschläger

Heterodyne background-oriented schlieren is examined here as a diagnostic that separates phase and amplitude effects in reactive flows, and it is applied to a lean premixed swirl-stabilised methane flame. In this approach, a periodic fringe background and Fourier demodulation yield line-of-sight displacement fields associated with refractive-index gradients, while the fringe amplitude modulation isolates intensity redistribution in a manner that is mathematically decoupled from phase. Building on this separation, ray-tracing analysis clarifies how the optical system and the refractive-index field jointly shape the recorded image, thereby revealing the physical origin of the fringe amplitude modulation signal. In particular, the fringe amplitude modulation field is shown to behave similarly to a focussed shadowgraph that preferentially amplifies high-gradient, small-scale features linked to combustion and suppresses low-curvature convection features. This selectivity is governed by the acquisition aperture through depth-of-focus and aperture-related ray blockage. Finally, controlled experiments with extensive image acquisition corroborate these interpretations and provide practical guidance on carrier-filtering and acquisition settings to avoid spectral overlap and maintain accuracy.

Graphical abstract

本文将外差背景取向纹影作为分离反应流动中相位和振幅效应的诊断手段进行了研究,并将其应用于贫预混旋流稳定甲烷火焰。在这种方法中,周期性条纹背景和傅立叶解调产生与折射率梯度相关的视线位移场,而条纹振幅调制以一种数学上与相位解耦的方式分离强度再分布。在这种分离的基础上,光线追踪分析阐明了光学系统和折射率场如何共同塑造了记录的图像,从而揭示了条纹调幅信号的物理起源。特别是,条纹振幅调制场的表现类似于聚焦阴影图,优先放大与燃烧相关的高梯度、小尺度特征,并抑制低曲率对流特征。这种选择性是由通过聚焦深度和孔径相关的射线阻塞的采集孔径控制的。最后,大量图像采集的对照实验证实了这些解释,并为载波滤波和采集设置提供了实用指导,以避免光谱重叠并保持精度。图形抽象
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引用次数: 0
Reflection elimination in pressure-sensitive paint measurement via differentiable luminescence ray-tracing optimization 通过可微发光光线追踪优化消除压敏涂料测量中的反射
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-25 DOI: 10.1007/s00348-026-04297-w
Zichao Zhu, Weichen Huang, Tianlun Zhang, Xiying Niu, Longan Hou, Wenwu Zhou, Yingzheng Liu, Di Peng

As the application of pressure-sensitive paint (PSP) extends from fundamental experiment to industrial testing, its measurement accuracy is increasingly limited by systematic errors induced by corner reflections in geometrically complex configurations. To overcome the limitations of conventional reflection correction methods in spatial resolution and accuracy, we propose a novel reflection elimination method based on a differentiable luminescence ray-tracing model. This method directly operates on 2D images and solves the inverse problem to recover the native reflection-free luminescence via gradient-driven optimization. It does not require precomputation of global view factor matrices and coordinate mapping as in conventional methods and therefore preserves full spatial resolution and reduces computational cost. In a numerical benchmark test on a 90° corner model, the proposed method reduces the mean relative deviation due to corner reflection from 25.2% to 3.8%, eliminating 84.9% of reflection-induced luminescent signal. In the wind-tunnel experiments of blade-endwall film cooling effectiveness, over 75% of the reflection-induced errors in PSP measurement are removed, demonstrating that the proposed method provides a robust and efficient solution for improving the accuracy of PSP measurements on geometrically complex models.

随着压敏涂料的应用从基础实验扩展到工业测试,其测量精度越来越受到几何复杂结构中角反射引起的系统误差的限制。为了克服传统反射校正方法在空间分辨率和精度上的局限性,提出了一种基于可微发光光线追踪模型的反射消除方法。该方法直接对二维图像进行操作,通过梯度驱动优化解决反演问题,恢复原生无反射发光。它不需要像传统方法那样预先计算全局视图因子矩阵和坐标映射,因此保留了完整的空间分辨率并降低了计算成本。在90°角模型的数值基准测试中,该方法将角反射引起的平均相对偏差从25.2%降低到3.8%,消除了84.9%的反射诱导发光信号。在叶片端壁气膜冷却效果的风洞实验中,该方法消除了75%以上的反射误差,为提高几何复杂模型的冷却效果测量精度提供了一种鲁棒、高效的解决方案。
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引用次数: 0
MRV Challenge 3: velocity and passive scalar comparison in a 3D turbulent flow MRV挑战3:三维湍流中的速度和被动标量比较
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-25 DOI: 10.1007/s00348-026-04234-x
Michael J. Benson, Thien Nguyen, Swantje Romig, Louis Dagobert, Daniel Borup, Martin Bruschewski, Kristine John, Sven Grundmann, Simon Song, Hangfei Dong, Andrew Banko, Christopher Elkins, Laura Villafane, Tuhin Bandopadhyay, Brad Sutton

The third iteration of a magnetic resonance velocimetry (MRV) challenge comparison activity consisting of 3D flow measurements for a turbulent flow in a water channel moving past centrally positioned cubic obstacles is reported. In this challenge iteration, MRV measurements are coupled with either temperature or concentration measurements to extend the diagnostic utility. Five research teams from around the world conducted the measurements on a single shared apparatus. The water channel included partial elements along the channel sidewalls that varied in height and precluded easy optical accessibility. In addition to a turbulent mainstream flow, a secondary flow entered the channel between the second and third cubic elements from a square injector hole at the channel bottom wall. The injector jet interacts with the mainstream flow and mixes turbulently as it advects downstream. For the selected flow regime and water solutions used as working fluids, the mixing of the higher temperature or concentration through the secondary flow with the mainstream flow satisfies the same dynamics so that both temperature and concentration fields behave as passive scalars and can be directly compared. The measurements are explained in detail by each participating team, and the results are interpolated onto a common grid and compared using line profiles, contour plots, and isosurfaces.

据报道,磁共振测速(MRV)挑战比较活动的第三次迭代,包括对水道中流过中心位置立方体障碍物的湍流的3D流量测量。在这个挑战迭代中,MRV测量与温度或浓度测量相结合,以扩展诊断实用程序。来自世界各地的五个研究小组在一个共用的仪器上进行了测量。水渠包括沿水渠侧壁的部分元素,这些元素的高度不同,阻碍了容易的光学可达性。除了湍流的主流流外,二次流从通道底壁的方形注入孔进入第二和第三立方元之间的通道。喷射器射流与主流气流相互作用,并在流向下游时发生湍流混合。对于选定的流型和作为工质的水溶液,较高的温度或浓度通过二次流与主流流的混合满足相同的动力学,因此温度和浓度场都表现为被动标量,可以直接进行比较。测量结果由每个参与团队详细解释,结果被插值到一个共同的网格中,并使用线轮廓、等高线图和等值面进行比较。
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引用次数: 0
Free-surface measurements in a cylindrical container using synthetic schlieren with extended paraxial range 利用具有扩展近轴范围的合成纹影对圆柱形容器进行自由表面测量
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-20 DOI: 10.1007/s00348-026-04240-z
Lyke E. van Dalen, Jan-Bert Flór, Jerry Westerweel

In this study, the free-surface synthetic schlieren (FS-SS) method, as proposed by Moisy et al. (Exp. Fluids 46 (2009) 1021), is extended to allow a wider application of the method. The reliance on small-angle paraxial approximation is removed, which allows for shorter distances of the camera to the free surface. Also, the presence of walls and non-constant depth of the liquid layer are accounted for. The difference between the original and modified approach is evaluated using a ray tracing approach. The extension of the method is demonstrated with measurements of the water surface in a cylinder for both rotating and non-rotating cases, i.e., surface waves due to impact, a surface depression due to a spin-up vortex, and the parabolic free surface in a rotating cylinder. The measured variations in surface elevation are as small as (mathcal {O})(10 (upmu )m) with a range in paraxial angle up to ±0.56 rad (({32.3}^circ )).

在本研究中,Moisy等人(Exp. Fluids 46(2009) 1021)提出的自由表面合成纹影(FS-SS)方法得到了扩展,使该方法得到了更广泛的应用。对小角度近轴近似的依赖被移除,这允许相机到自由表面的较短距离。此外,壁的存在和液体层的非恒定深度也被考虑在内。使用光线追踪方法评估原始方法和改进方法之间的差异。通过测量旋转和非旋转圆柱体中的水面来证明该方法的扩展,即由于撞击引起的表面波,由于自旋涡引起的表面凹陷以及旋转圆柱体中的抛物自由表面。测量到的地表高程变化小至(mathcal {O}) (10 (upmu ) m),近轴角范围可达±0.56 rad (({32.3}^circ ))。
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引用次数: 0
Aerodynamic testing of pulsed-jet actuation on a short-inlet UHBR engine nacelle 短进气道UHBR发动机短舱室脉冲射流驱动气动试验
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-18 DOI: 10.1007/s00348-026-04286-z
Stefan Hayböck, Christian Breitsamter

Innovative short-inlet nacelle designs and disruptive technologies are essential for minimizing the drag and weight penalties of high-bypass-ratio turbofan engines. Active flow control (AFC) can mitigate inlet separation under off-design conditions by using local air injection at the inlet lip. This work investigates wind tunnel testing of continuous and pulsed blowing on a generic short-inlet UHBR nacelle at high angles of incidence (AoIs). The model is designed as a flow-through nacelle and is tested at a free stream Mach number of 0.15. The Reynolds number associated with the nacelle length is (2.4 times 10^{6}). Static pressure tabs on the model surface and a traversable total pressure rake serve to evaluate the performance of AFC. Both continuous and pulsed blowing could prevent inlet separation for AoIs of (18^{circ }) and (22^{circ }), reducing spatial total pressure non-uniformity by up to 80%. Here, the AFC performance showed strong sensitivity to the jet velocity. A comparison of required momentum revealed that pulsed blowing consumes 20% less momentum input than continuous blowing for the same improvement level. For an AoI of (26^{circ }), only continuous blowing at maximum momentum input could effectively mitigate inlet separation. This experimental study confirms the potential of AFC to improve inlet flow under off-design conditions.

创新的短进气短舱设计和颠覆性技术对于最小化高涵道比涡扇发动机的阻力和重量损失至关重要。主动流动控制(AFC)可以通过在进口唇部使用局部空气喷射来缓解非设计条件下的进口分离。本文研究了一种通用短进气道UHBR短舱在大入射角(AoIs)下连续和脉冲吹气的风洞试验。该模型被设计为一个流过的短舱,并在0.15的自由流马赫数下进行了测试。与机舱长度相关的雷诺数为(2.4 times 10^{6})。模型表面的静压片和可移动的总压耙用于评估AFC的性能。连续吹气和脉冲吹气都可以防止(18^{circ })和(22^{circ }) aoi的入口分离,使空间总压不均匀性降低80%%. Here, the AFC performance showed strong sensitivity to the jet velocity. A comparison of required momentum revealed that pulsed blowing consumes 20% less momentum input than continuous blowing for the same improvement level. For an AoI of (26^{circ }), only continuous blowing at maximum momentum input could effectively mitigate inlet separation. This experimental study confirms the potential of AFC to improve inlet flow under off-design conditions.
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引用次数: 0
Comparative study of Newtonian and non-Newtonian flow inside a compliant aortic bifurcation model 顺从主动脉分叉模型内牛顿流与非牛顿流的比较研究
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-18 DOI: 10.1007/s00348-026-04293-0
Benedikt Harald Johanning-Meiners, Dominik Krug, Michael Klaas

Shear-thinning properties of non-Newtonian fluids such as blood significantly affect the flow in compliant vessels. In particular, under physiologically realistic pulsatile inflow conditions, these shear-thinning properties can alter the flow field and thus the fluid–structure interaction. Yet, non-Newtonian effects are frequently neglected in in vitro experiments due to increased experimental complexity. This study aims to provide a comparative analysis of the combined influence of pulsatile flow conditions and non-Newtonian fluid properties on the flow field and fluid–structure interaction in a compliant abdominal aortic bifurcation model. Therefore, a fully transparent compliant bifurcation phantom was manufactured from two-component PDMS (RTV-615) using a wax-based lost-core technique to ensure dimensional accuracy and smooth internal surfaces. The model was integrated into a pulsatile flow loop, and time-resolved three-dimensional velocity fields were acquired by three-dimensional particle-tracking velocimetry (3D PTV) using the Shake-the-Box algorithm. The flow field, static pressure, wall dilatation, and volume flux were measured for both a Newtonian fluid and a blood-analogue non-Newtonian fluid across three Reynolds numbers and two Womersley numbers, representing physiologically relevant flow regimes. The flow measurements indicate that for both fluids an increase of the Womersley number yields broader and more uniform high-velocity cores and smoother axial transitions. Results for the non-Newtonian fluid consistently exhibit wider velocity distributions and more synchronized fluid–structure interaction dynamics in all cases that were investigated. Overall, the findings suggest that the shear-thinning rheology of the non-Newtonian fluid shifts the temporal response characteristics of the coupled system toward behavior observed at higher Womersley numbers. This indicates an altered phase relationship between the flow field and wall deformation. Thus, the present measurements indicate that non-Newtonian properties significantly influence both the flow field and the fluid–structure interaction in compliant vascular models under pulsatile conditions. Combining compliant, optically transparent phantoms with time-resolved 3D PTV provides a powerful platform for quantifying these coupled effects, advancing the understanding of physiological hemodynamics, and improving the reliability of in vitro studies and simulation validation efforts.

非牛顿流体(如血液)的剪切变薄特性显著影响柔顺血管的流动。特别是,在生理上真实的脉动流入条件下,这些剪切-减薄特性可以改变流场,从而改变流固耦合。然而,由于实验复杂性的增加,非牛顿效应在体外实验中经常被忽略。本研究旨在对比分析脉动流动条件和非牛顿流体性质对柔性腹主动脉分叉模型流场和流固耦合的综合影响。因此,采用蜡基失芯技术,利用双组分PDMS (RTV-615)制造了一个完全透明的柔性分岔体,以确保尺寸精度和光滑的内表面。将该模型集成到脉动流环中,采用三维粒子跟踪测速技术(3D PTV),利用Shake-the-Box算法获得时间分辨的三维速度场。通过三个雷诺数和两个沃默斯利数,分别测量了牛顿流体和血液模拟非牛顿流体的流场、静压、壁面膨胀和体积通量,代表了与生理相关的流动状态。流动测量表明,对于这两种流体,沃默斯利数的增加会产生更宽、更均匀的高速岩心和更平滑的轴向过渡。非牛顿流体的结果一致显示出更宽的速度分布和更同步的流固耦合动力学。总的来说,研究结果表明,非牛顿流体的剪切变薄流变使耦合系统的时间响应特性向更高沃默斯利数下观察到的行为转移。这表明流场与壁面变形之间存在相变关系。因此,目前的测量表明,在脉动条件下,非牛顿性质显著影响了柔性血管模型的流场和流固耦合。将兼容的、光学透明的幻影与时间分辨的3D PTV相结合,为量化这些耦合效应提供了一个强大的平台,促进了对生理血流动力学的理解,提高了体外研究和模拟验证工作的可靠性。
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引用次数: 0
Design of a hydraulically confined column device for simultaneous measurement of air relative permeability and water retention in unconsolidated porous media 用于同时测量疏松多孔介质中空气相对渗透率和保水率的水力约束柱装置的设计
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-18 DOI: 10.1007/s00348-026-04294-z
Kevin Hernandez-Perez, Gerhard Schäfer, Amir H. Alizadeh, Mohammad Piri, Renaud Toussaint

Air relative permeability is a key parameter controlling gas transport in unsaturated porous media, yet its dependence on saturation history and pore structure remains insufficiently constrained by experimental data. In this study, air relative permeability was measured during controlled drainage and imbibition processes in homogeneous sands with contrasting grain-size distributions. Steady-state air-flow experiments were conducted in a laboratory column, and air permeability was determined from imposed gas-flow rates and measured pressure gradients. Water saturation was quantified independently from expelled-water volumes, allowing reproducible characterization of permeability–saturation relationships along defined hydraulic paths. The results reveal pronounced hysteresis in air relative permeability between drainage and imbibition, with strongly dependent behaviour on grain-size distribution. In the fine sand, air relative permeability decreases progressively with increasing water saturation, whereas in the coarse sand, it remains close to its maximum value over a wide saturation range during imbibition before collapsing abruptly near full saturation. Comparisons with permeability predictions derived from independently fitted water retention curves show significant discrepancies, particularly during imbibition, where saturation-based models fail to reproduce the observed permeability plateau and sharp decline. These findings demonstrate that air relative permeability in granular media cannot be described solely as a function of water saturation and that saturation history and pore structure exert a first-order control on gas transport. The experimental dataset provides a benchmark for evaluating and improving constitutive models for gas flow in unsaturated porous media.

空气相对渗透率是控制非饱和多孔介质中气体输运的关键参数,但其对饱和历史和孔隙结构的依赖还没有得到足够的实验数据约束。在本研究中,测量了具有不同粒度分布的均质砂岩在控制排水和吸胀过程中的空气相对渗透率。在实验室柱中进行稳态气流实验,并通过施加的气体流速和测量的压力梯度来确定空气渗透性。含水饱和度的量化与排水量无关,从而可以在确定的水力路径上重复表征渗透率-饱和度关系。结果表明,排吸之间的相对渗透率存在明显的滞后性,且与颗粒粒度分布密切相关。在细砂中,空气相对渗透率随着含水饱和度的增加而逐渐降低,而在粗砂中,空气相对渗透率在吸胀期间保持在较宽饱和度范围内的最大值附近,然后在接近全饱和度时突然崩溃。与独立拟合的水保持曲线得出的渗透率预测结果相比,发现了显著的差异,特别是在吸胀期间,基于饱和度的模型无法重现观察到的渗透率平台和急剧下降。这些发现表明,颗粒介质中的空气相对渗透率不能仅仅描述为水饱和度的函数,饱和历史和孔隙结构对气体输运起着一级控制作用。该实验数据集为评价和改进非饱和多孔介质中气体流动的本构模型提供了一个基准。
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引用次数: 0
An experimental investigation on the vortex ring merging in twin parallel pulsed jets 双平行脉冲射流涡环合并的实验研究
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-12 DOI: 10.1007/s00348-026-04288-x
T. Chevalier, W. Saleh, L. Kadem, H. D. Ng

In this work, we present planar time-resolved particle image velocimetry measurements focusing on the vortex ring merging from twin parallel pulsed jets, generated by the nozzle spacing (S/D0) from 1.49 to 3.20 and stroke ratio (L/D0) between 2 and 4. The results show a critical spacing ratio, of approximately 3, below which the pulsed jets interact and merge after a certain formation time (for 1.49 < S/D0 < 3.20) or right at the exit of the tubes (for S/D0 < 1.49). Using the vortex core identification method based on the swirling strength criterion, the streamwise merge position is identified for different conditions and appears to be highly dependent on nozzle spacing, while not being influenced by L/D0. High nozzle spacing delays, following a quartic trend, the streamwise merge position until reaching a threshold level beyond which no merge exists anymore. Time–frequency analysis and the oscillatory motions of the vortex ring tilt angle were also examined to identify characteristic signatures and elucidate the flow dynamics during vortex merging. For S/D0 = 2.45, a cooperative tilting instability driven by mutual induction precedes vortex ring merging. In contrast, for S/D0 = 3.20, where vortex rings are initially well separated, the weakening of the mutual energy and induction with increasing separation, together with energy dissipation associated with their wave-like oscillatory motions, appears to inhibit the coherent alignment required for reconnection and subsequent merging. This experimental study improves our understanding of twin pulsed jets and vortex ring interactions with implications that span from cardiovascular flows to underwater jet propulsion systems, and highlights the need for further theoretical investigation based on energy considerations to better understand the underlying mechanism.

Graphical abstract

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引用次数: 0
Spatial structure and energy content of wakes behind single and arrayed undulated cylinders 单波圆柱和列波圆柱后尾迹的空间结构和能量含量
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-12 DOI: 10.1007/s00348-026-04276-1
Taiga Drucker-Boisvert, Ondřej Ferčák, Jérémie Auzoux, Sarah E. Smith, Zein Sadek, Rowan Moore, Trevor Dunt, Christin T. Murphy, Jennifer A. Franck, Raúl Bayoán Cal

Biologically inspired undulated cylinder geometries significantly influence wake structure and vortex-induced vibrations in turbulent flows, yet the underlying mechanisms are not fully understood. It is further unknown how these influences extend to multi-cylinder arrays, where interacting wakes accumulate and mix. This study examines the wake characteristics of an undulated cylinder and a smooth elliptic cylinder in single- and multi-cylinder array configurations, using particle image velocimetry and proper orthogonal decomposition (POD). Relative to the smooth elliptic cylinder, the undulated geometry induces pronounced spanwise-axial variability, characterized by enhanced near-wake mean momentum and weak far-wake signatures, consistent with reduced turbulent kinetic energy. While mean momentum signatures are more comparable across array configurations, POD modal energy reveals a less coherent, more homogeneous distribution for the array of undulated cylinders, indicating increased three-dimensionality and flow complexity. Despite this complexity, a low-order description of the Reynolds shear stress is achieved to within 15% RMS reconstruction error using only 5% of the total POD modes, highlighting distinctions not apparent from mean-flow quantities alone. These characteristics offer broad potential for low-order modeling, flow control, and sensing applications.

生物启发的波动圆柱体几何形状显著影响尾流结构和湍流中涡激振动,但其潜在机制尚未完全了解。目前还不清楚这些影响如何扩展到多柱阵列,其中相互作用的尾迹积累和混合。本文采用粒子图像测速法和正交分解(POD)方法研究了单、多圆柱阵列构型下波动圆柱和光滑椭圆圆柱的尾迹特性。相对于光滑的椭圆圆柱体,波动的几何形状引起了明显的展向轴向变异性,其特征是近尾迹平均动量增强,远尾迹特征减弱,与湍流动能降低相一致。虽然不同阵列构型的平均动量特征更具可比性,但POD模态能量在波动圆柱体阵列中呈现出更不连贯、更均匀的分布,表明三维性和流动复杂性增加。尽管存在这种复杂性,但仅使用总POD模态的5%就可以实现低阶雷诺数剪切应力的描述,其重构误差在15% RMS以内,突出了仅从平均流量中不明显的区别。这些特性为低阶建模、流量控制和传感应用提供了广泛的潜力。
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引用次数: 0
High-spatial resolution analyses of compressible turbulent boundary layers at Ma (=) 4.2 可压缩湍流边界层的高空间分辨率分析(=) 4.2
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-08-06 DOI: 10.1007/s00348-026-04252-9
Junbo Yang, Yupiao Chen, Shucheng Pan, Hengdong Xi, Wenfeng Li

High-spatial resolution particle image velocimetry (PIV) and particle tracking velocimetry (PTV) analyses were conducted to investigate the zero-pressure-gradient compressible turbulent boundary layers at Mach 4.2 with (textit{Re}_{ theta } = 2323 - 3220). The PTV analysis achieves a spatial resolution of O(0.01) mm in the near-wall region to resolve the flow in the viscous sublayer and buffer layer. Several estimation methods have been used to determine the skin friction coefficient based on the streamwise velocity distribution, e.g., the linear relation in the viscous sublayer, the Spalding equation, the logarithmic law, and the wake law. The van Driest (textrm{II}) transformed skin friction coefficients agree well with the Blasius (1913) relation with a deviation less than 5%. The mean and fluctuating streamwise velocities collapse with the law of the wall and the DNS results, when scaled according to van Driest and Morkovin-scaling respectively. Owing to the high-spatial resolution PTV technique, the peaks of the streamwise velocity fluctuations are found at (textit{y}^{mathrm {+}} = 13) and (textit{y}^{mathrm {*}} = 18) in inner and semi-local scalings. Furthermore, the convergence of the two-point spatial correlation is improved using an ensemble-averaged method. The inclination angles of the (textit{R}_{uu}) contours are approximately 8(^{circ }) in the logarithmic region and 13(^{circ }) in the wake region, which are different from those observed in incompressible turbulent boundary layers (TBLs). When the wall-normal integral scale is normalized by the characteristic structural length defined by Pirozzoli and Bernardini (2011), a plateau is observed. This indicates that self-similarity of the wall-normal length scale exists for the near-wall structures in CTBLs. Moreover, the uniform velocity zones (UVZs) in CTBLs are also examined. The mean number of UVZs ranges from approximately 1.5to 2 in the friction Reynolds number range of (textit{Re}_{tau }approx 180 - 230), in line with the logarithmic increase reported by de Silva et al. (2016). From a statistical perspective, the turbulent/non-turbulent interface (TNTI) appears to primarily modulate the thicknesses of the UVZs, rather than their numbers.

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引用次数: 0
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Experiments in Fluids
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