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Intensifying fractal-grid-generated turbulence 强化分形网格产生的湍流
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-30 DOI: 10.1007/s00348-026-04308-w
Chandra Sekhar Kommineni, Jeremy Basley, Laurent Keirsbulck, Fethi Aloui

For the past twenty years, fractal grids have shown their efficiency at generating long-lasting broadband turbulence. Reference studies have so far focused on developing the most canonical self-similar turbulence far downstream of the grid; the production region was stretched out, and the maximum turbulence intensities at the peak remained limited. We explore a new region of the parameter space of fractal square grids to accelerate turbulence production, shorten the wake-interaction length, and enhance the kinetic energy in the early stages of the decay. The length-to-thickness ratio (L_0/t_0) of the first iteration is much lower than in typical grids reported in the literature, yielding peak turbulence intensities of 21–27% within (x/L_0 < 3). The experiments were conducted in a recirculating hydro-channel facility using Particle Image Velocimetry for spatially extended data and Laser Doppler Velocimetry for time-resolved centerline statistics. A sweep of progressively smaller PIV fields of view, with vector spacing down to (Delta x / eta approx 1.3), is used in the decay region to approach the dissipative range. The analysis focuses on the production region and the early-decay region within the wake-interaction length ((x < x_*)) and combines centerline statistics, characteristic length scales and the spectral signature along the flow. A scale-by-scale spectral assessment, benchmarked against forced-isotropic DNS, shows that local isotropy is recovered over the reliable resolved wavenumber range, whereas global derivative-based indicators (K_1) and (K_3) remain affected by large-scale anisotropy and finite PIV resolution. The results are consistent with the non-equilibrium scaling reported in earlier studies of fractal-grid-generated turbulence. The new grids, however, reveal that the dissipation scaling (C_epsilon sim sqrt{text {Re}_{L_0}}/text {Re}_lambda ) no longer holds when the geometry is extended to low (L_0/t_0) ratios. Using (text {Re}_{t_0}) based on the largest-bar thickness restores the collapse with the literature, indicating that the relevant global Reynolds number is set by the vortex-shedding scale at which energy is initially injected, rather than by the largest geometric scale of the grid.

在过去的二十年里,分形网格已经显示出它们在产生长时间宽带湍流方面的效率。到目前为止,参考研究主要集中在发展网格下游最典型的自相似湍流;生产区域被拉长,峰值处的最大湍流强度仍然有限。我们探索了一个新的分形方形网格参数空间区域,以加速湍流的产生,缩短尾迹相互作用的长度,并在衰减的早期阶段提高动能。第一次迭代的长厚比(L_0/t_0)远低于文献中报道的典型网格,产生的峰值湍流强度为21-27% within (x/L_0 < 3). The experiments were conducted in a recirculating hydro-channel facility using Particle Image Velocimetry for spatially extended data and Laser Doppler Velocimetry for time-resolved centerline statistics. A sweep of progressively smaller PIV fields of view, with vector spacing down to (Delta x / eta approx 1.3), is used in the decay region to approach the dissipative range. The analysis focuses on the production region and the early-decay region within the wake-interaction length ((x < x_*)) and combines centerline statistics, characteristic length scales and the spectral signature along the flow. A scale-by-scale spectral assessment, benchmarked against forced-isotropic DNS, shows that local isotropy is recovered over the reliable resolved wavenumber range, whereas global derivative-based indicators (K_1) and (K_3) remain affected by large-scale anisotropy and finite PIV resolution. The results are consistent with the non-equilibrium scaling reported in earlier studies of fractal-grid-generated turbulence. The new grids, however, reveal that the dissipation scaling (C_epsilon sim sqrt{text {Re}_{L_0}}/text {Re}_lambda ) no longer holds when the geometry is extended to low (L_0/t_0) ratios. Using (text {Re}_{t_0}) based on the largest-bar thickness restores the collapse with the literature, indicating that the relevant global Reynolds number is set by the vortex-shedding scale at which energy is initially injected, rather than by the largest geometric scale of the grid.
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引用次数: 0
Negative-polarity-selective non-contact breakup of oppositely charged droplets 负极性选择的非接触破碎的相反电荷液滴
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-30 DOI: 10.1007/s00348-026-04327-7
Zhishan Wang, Yuanping Huo, Zhuohang Li, Zirui Wang, Zhentao Wang, Huihe Qiu, Junfeng Wang

The non-contact interaction of oppositely charged droplets under strong electric fields involves coupled charge transport, gas ionization, and interfacial instability, yet direct evidence for the origin of polarity-selective breakup remains limited. Here, non-contact breakup of highly conducting oppositely charged droplets was investigated in air and helium using a self-developed microscopic collision platform and high-speed imaging. By varying droplet curvature, reversing the high-voltage-electrode polarity, and comparing acidic and alkaline electrolytes, we show that breakup in air consistently initiates from the negative-polarity droplet. The polarity preference is therefore not governed by droplet geometry, electrode configuration or liquid-phase ion mobility. In helium, the breakup at the negative side becomes weaker, and in some cases, non-contact breakup occurs at both polarity sides. For a given liquid conductivity, the critical nominal electric bond number for breakup is also higher in helium than in air. We suggest that this behavior is associated with gas ionization-mediated space-charge effects in air: Slowly migrating positive ions accumulate near the negatively charged droplet, distort the local electric field and increase the surface charge density until a local sub-Rayleigh instability is reached. In helium, weak electron attachment and faster charged-particle transport reduce this field asymmetry. These results indicate that gas ionization plays an important role in regulating breakup polarity and the dynamic outcome of oppositely charged droplets, providing guidance for electrosprays, microreactors, and electric field-controlled multiphase flows.

在强电场作用下,相反电荷液滴的非接触相互作用涉及耦合电荷输输、气体电离和界面不稳定性,但极性选择性破裂起源的直接证据仍然有限。本研究利用自行研制的微观碰撞平台和高速成像技术,研究了高导电性的反荷液滴在空气和氦气中的非接触破碎。通过改变液滴曲率,逆转高压电极极性,并比较酸性和碱性电解质,我们发现空气中的破裂始终是从负极性液滴开始的。因此,极性偏好不受液滴几何形状、电极结构或液相离子迁移率的支配。在氦中,负极的分裂变得更弱,在某些情况下,非接触分裂发生在极性的两侧。对于给定的液体电导率,在氦中破裂的临界标称电键数也比在空气中高。我们认为这种行为与空气中气体电离介导的空间电荷效应有关:缓慢迁移的正离子在带负电荷的液滴附近积聚,扭曲局部电场并增加表面电荷密度,直到达到局部亚瑞利不稳定性。在氦中,弱电子附着和更快的带电粒子输运降低了这种场的不对称性。这些结果表明,气体电离在调节相反电荷液滴的破裂极性和动态结果中起着重要作用,为电喷雾、微反应器和电场控制多相流提供了指导。
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引用次数: 0
Turbulent drag reduction measured on a flat plate covered with silicon tiles of longitudinal superhydrophobic microtrenches in a high-speed water tunnel 高速水洞纵向超疏水微沟槽硅瓦覆盖平板紊流减阻测量
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-30 DOI: 10.1007/s00348-026-04303-1
Eric Hyunsung Cho, Zhaohui (Ray) Li, Jihun Jeon, Matthew Bross, William A. Straka, Francisco Jose del Campo Melchor, Miguel De La Cruz, Qining Leo Wang, Paolo Luzzatto-Fegiz, Chang-Jin (CJ) Kim

Reduction of frictional drag is examined on a 31 cm × 15 cm flat plate covered with superhydrophobic (SHPo) longitudinal microtrenches in a high-speed water tunnel capable of imposing wall shear levels representative of operating water vessels. Experimentation capable of testing substantially larger (~ 16× larger in area than before) microtrench-array surfaces in a large, high-speed water tunnel using a standard measurement method is developed, thereby providing high-quality, rigorously controlled experimental data to support and validate turbulent SHPo drag reduction. High-performance microtrench surfaces featuring hierarchical roughness and re-entrant trench tops are microfabricated on silicon wafers, diced into 7.6 cm × 4.7 cm tiles, and assembled as a 4 × 3 array on the drag plate interfaced with a drag balance for shear-drag measurement. The water tunnel enables control of water pressure and air saturation and allows a low-grazing-angle view for detecting plastron depinning. Two microtrench geometries are tested: (i) 50 µm pitch, 90% gas fraction, 100 µm depth, and 10 mm length, designed primarily for plastron stability and (ii) 100 µm pitch, 92% gas fraction, 200 µm depth, and 20 mm length for larger slip. The former geometry achieves around 30% drag reductions at flow speeds corresponding to a wall shear stress of about 100 Pa, surpassing the previous record of 70 Pa and reaching conditions relevant to practical vessel operation.

Graphical abstract

在高速水隧道中,在31厘米× 15厘米的平板上覆盖超疏水(SHPo)纵向微沟,研究了摩擦阻力的减少,该平板能够施加代表运行水容器的壁剪力水平。利用标准测量方法,在大型高速水洞中测试更大(比以前大16倍)微沟槽阵列表面的实验,从而提供高质量、严格控制的实验数据,以支持和验证湍流SHPo减阻。高性能微沟槽表面具有分层粗糙度和可重新进入的沟槽顶部,在硅片上进行微加工,切割成7.6 cm × 4.7 cm的瓷砖,并在阻力板上组装成4 × 3阵列,并与用于剪切阻力测量的阻力平衡接口。水洞可以控制水压和空气饱和度,并允许低掠角的视角来检测板剥落。测试了两种微沟槽几何形状:(i) 50 μ m间距,90%气体含量,100 μ m深度,10 mm长度,主要用于板板稳定性;(ii) 100 μ m间距,92%气体含量,200 μ m深度,20 mm长度,用于较大滑移。在100 Pa左右的壁面剪切应力下,前者的几何形状可以在流速下减少30%左右的阻力,超过了之前70 Pa的记录,达到了与实际船舶操作相关的条件。图形抽象
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引用次数: 0
Supersonic jets and strong shock waves generated by electrical explosions of V-shaped foils in water and gelatin v形箔在水和明胶中的电爆炸产生超音速射流和强冲击波
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-30 DOI: 10.1007/s00348-026-04321-z
N. Asmedianov, R. Grikshtas, S. Efimov, J. Strucka, Y. Yao, B. Lukic, A. Rack, S. N. Bland, Ya. E. Krasik

Building on prior work demonstrating that underwater microsecond timescale electrical explosions of semicylindrical wire arrays produce radially converging strong shock waves and blade-shaped supersonic jets reaching 1.6 km/s [Experiments in Fluids 67, 25 (2026)], this study presents experimental investigations and two-dimensional hydrodynamic simulations aimed at optimizing jets generation from tamped, V-shaped electrically exploded foils. Aluminum and copper foils with varying apex angles were exploded using μs and sub-μs pulse generators with peak currents up to 300 kA, in two tamping media: water and 20% gelatin/water solution. Shock formation and jet dynamics were characterized using multi-frame shadowgraphy and X-ray imaging. Results show that the highest tip velocities, up to 4.5 km/s, are achieved with a 60° apex angle, sub-μs drivers and gelatin tamping. These high-velocity jets are capable of accelerating gram-scale targets to ~ 0.3 km/s and driving shocks in fluid and solid media at pressures up to ~ 7 GPa, offering a promising platform for dynamic material characterization under extreme loading conditions.

先前的研究表明,水下微秒级半圆柱形导线阵列的电爆炸会产生径向收敛的强激波和达到1.6 km/s的叶形超音速射流[《流体实验》67,25(2026)],本研究提出了实验研究和二维流体动力学模拟,旨在优化夯实的v形电爆炸箔产生的射流。采用μs和亚μs脉冲发生器,在水和20%明胶/水溶液两种填充介质中对不同顶点角的铝箔和铜箔进行爆破,峰值电流可达300 kA。利用多帧阴影成像和x射线成像对激波形成和射流动力学进行了表征。结果表明,在60°尖端角、亚μs驱动和明胶夯实条件下,尖端速度最高可达4.5 km/s。这些高速射流能够将克级目标加速到~ 0.3 km/s,并在高达~ 7 GPa的压力下驱动流体和固体介质中的冲击,为极端载荷条件下的动态材料表征提供了一个有前途的平台。
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引用次数: 0
Simultaneous temperature, pressure, and velocity line imaging in an underexpanded jet with a combined CARS-FLEET instrument 利用CARS-FLEET组合仪器在欠膨胀射流中同时进行温度、压力和速度线成像
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-21 DOI: 10.1007/s00348-026-04283-2
Jonathan Retter, Matthew Koll, Daniel R. Richardson, Sean P. Kearney

We demonstrate a new capability to study scalar transport, combining coherent anti-Stokes Raman scattering (CARS) and femtosecond laser electronic excitation tagging (FLEET) for simultaneous measurements of temperature, pressure, and velocity along a one-dimensional (1D) measurement volume. Multi-parameter measurements were performed along a ~ 2-mm line in an underexpanded sonic jet on a single-laser-shot basis at 20 Hz. The femtosecond–picosecond (fs-ps) CARS instrument with an early and late probe pulse captured collision-free and collision-altered pure-rotational CARS spectra for measurements of temperature and pressure, respectively. The femtosecond pump/Stokes pulse from the CARS measurement was re-used as the FLEET excitation source and aligned with the one-dimensional CARS measurement volume at a time delay of several nanoseconds to eliminate interference with the CARS measurement. Radial profiles of temperature, pressure, and axial velocity were recorded at axial locations of 6.5, 15, and 19 mm, corresponding to measurements in the cold isentropically expanding gases before the Mach disk, the edge of the slip line downstream of the Mach disk, and through the inner shear layer developed from the slip line, respectively. From measurements performed in the nearly steady flow upstream of the Mach disk, estimates of measurement precision for temperature, pressure, and velocity were found to be 2%, 7%, and 3% about the mean, respectively. Flow downstream of the Mach disk was seen to have higher fluctuations, particularly near the inner shear layer. Measured flow properties match previous experimental and theoretical results in underexpanded jets. This study demonstrates the feasibility of the combined CARS-FLEET instrument for scalar transport measurements and provides a baseline for future applications in high-speed wind tunnel facilities.

我们展示了一种研究标量输运的新能力,结合相干反斯托克斯拉曼散射(CARS)和飞秒激光电子激发标记(FLEET),沿着一维(1D)测量体积同时测量温度、压力和速度。在20 Hz的单次激光照射基础上,在欠膨胀声波射流中沿着~ 2毫米的线进行了多参数测量。具有早期和晚期探测脉冲的飞秒-皮秒(fs-ps) CARS仪器分别捕获了无碰撞和碰撞改变的纯旋转CARS光谱,用于测量温度和压力。利用CARS测量的飞秒泵浦/斯托克斯脉冲作为FLEET激励源,并在几纳秒的时间延迟后与一维CARS测量体对齐,以消除对CARS测量的干扰。在6.5、15和19 mm的轴向位置记录了温度、压力和轴向速度的径向分布,分别对应于马赫盘前、马赫盘下游滑移线边缘和从滑移线发育而来的内剪切层中的冷等熵膨胀气体。在马赫盘上游几乎稳定的流动中进行的测量,发现温度、压力和速度的测量精度分别约为平均值的2%、7%和3%。马赫数盘下游的流动波动较大,特别是在靠近内部剪切层的地方。在欠膨胀射流中测量的流动特性与先前的实验和理论结果相吻合。该研究证明了CARS-FLEET组合仪器用于标量输运测量的可行性,并为未来在高速风洞设施中的应用提供了基础。
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引用次数: 0
Surfing on vortices: bird flight responses to an unsteady vortex wake 在旋涡上冲浪:鸟类对不稳定旋涡尾迹的飞行反应
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-21 DOI: 10.1007/s00348-026-04292-1
Siyang Hao, Noah Medina, Mareesa Islam, Rónán Gissler, Tyson Hedrick, Alexander Gerson, Kenneth Breuer

We report on results from wind tunnel experiments examining the flight of European starlings (Sturnus vulgaris) in both steady flows and in the presence of a structured vortex wake generated by a pitching airfoil. The investigation employs synchronized high-speed kinematic tracking alongside time-resolved particle image velocimetry (PIV) to assess the birds’ flight mechanics and interactions with unsteady flow. When flying in the presence of a vortex wake, the starlings exhibited distinct kinematic adjustments relative to their trajectories in clean steady flow. The wake footprints observed through PIV corroborated the kinematic measurements, revealing a phase alignment between the birds’ wingbeats and the periodic wake background. The combined circulation, resulting from the merging of the bird’s flapping wake and the mechanically generated wake, closely resembles an in-phase superposition of the two components in the non-interactive cases.

我们报告了欧洲椋鸟(Sturnus vulgaris)在稳定气流和由俯仰翼型产生的结构涡尾流中飞行的风洞实验结果。该研究采用同步高速运动跟踪和时间分辨粒子图像测速(PIV)来评估鸟类的飞行力学和与非定常流的相互作用。在涡旋尾流中飞行时,欧椋鸟表现出明显的运动调整,相对于它们在干净稳定流动中的轨迹。通过PIV观察到的尾迹足迹证实了运动学测量结果,揭示了鸟类的翼拍和周期性尾迹背景之间的相位对齐。由鸟的扑翼尾流和机械产生的尾流合并而成的组合环流,非常类似于两种成分在非相互作用情况下的同相叠加。
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引用次数: 0
Offset Twyman–Green interferometry for quantitative density-field measurements in shock-dominated flows 偏置Twyman-Green干涉法在激波主导流中定量密度场测量
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-19 DOI: 10.1007/s00348-026-04320-0
Sotaro Sugawara, Ryota Kasagi, Yoshiaki Miyazato, Shinichiro Nakao, Yojiro Ishino

Twyman–Green interferometry (TGI) has been used far less frequently than Mach–Zehnder interferometry for quantitative measurements of shock-dominated flows, despite its compact optical configuration. In this study, the underlying reason for this limited adoption is theoretically investigated. Optical analysis reveals a fundamental inconsistency in the conventional TGI image-superposition concept: The forward- and return-pass images are formed at different image planes and therefore cannot be simultaneously focused on a single camera sensor. This limitation can introduce systematic errors in quantitative measurements. To overcome this issue, offset Twyman–Green interferometry (Offset-TGI) is proposed. By introducing a spatial offset between the forward and return optical paths, the method utilizes a single properly focused image for interferogram formation, providing a physically consistent implementation of TGI for quantitative density measurements. The proposed method is validated through density-field measurements of a highly underexpanded round jet containing a Mach disk. The reconstructed density distributions and the density ratio across the Mach disk show good agreement with semi-empirical relations, theoretical predictions, and established optical diagnostics. These results demonstrate that Offset-TGI provides reliable quantitative measurements in shock-dominated flows while preserving the compact, single-beam-splitter architecture that makes TGI attractive for space-constrained experiments.

Twyman-Green干涉法(TGI)在激波主导流的定量测量中使用的频率远低于Mach-Zehnder干涉法,尽管其光学结构紧凑。在本研究中,从理论上探讨了这种有限采用的潜在原因。光学分析揭示了传统TGI图像叠加概念的根本不一致:前向和返回通道图像形成于不同的图像平面,因此不能同时聚焦在单个相机传感器上。这种限制会在定量测量中引入系统误差。为了克服这一问题,提出了偏移特怀曼-格林干涉法(offset - tgi)。通过在前向光路和返回光路之间引入空间偏移,该方法利用单个适当聚焦的图像形成干涉图,为定量密度测量提供了物理上一致的TGI实现。通过含马赫盘的高度欠膨胀圆形射流的密度场测量验证了该方法的有效性。重建的密度分布和马赫盘面上的密度比与半经验关系、理论预测和已建立的光学诊断相吻合。这些结果表明,Offset-TGI在激波主导流中提供了可靠的定量测量,同时保留了紧凑的单分束器结构,这使得TGI在空间受限的实验中具有吸引力。
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引用次数: 0
Planar laser-induced fluorescence characterization of turbulent mixing generated by fractal oscillating grids 分形振荡网格湍流混合的平面激光诱导荧光表征
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-19 DOI: 10.1007/s00348-026-04316-w
Ezgi Ünlü, Salomé Malochet, Valentin Musy, Tom Lacassagne

Improving mixing efficiency is critical for the development of energy-efficient intensified processes. Mixing complex and shear-sensitive fluids remains challenging: turbulence is needed to enhance mixing, but must be generated with minimal local shear to prevent fluid degradation. Oscillating grids offer a promising solution in this context. In this work, we investigate passive scalar mixing in a tank stirred by fractal oscillating grids. Injection experiments combined with pH-sensitive planar laser-induced fluorescence are used to quantify the effects of grid oscillation parameters (frequency, amplitude) and grid geometry on mixing time and local turbulent scalar dynamics. Results show that increasing the grid oscillation Reynolds number linearly increases mixing efficiency, suggesting optimal operation of oscillating grids at moderate amplitudes and frequencies. Fractal grids outperform conventional Cartesian grids, with the I-Fractal geometry providing the best performance. The large-scale advection induced by grid oscillations—typically stronger for fractal grids—plays a key role in the mixing process by accelerating scalar patch transport toward the high-turbulence, grid-swept region. The effective fractal dimension of the grid pattern or of the scalar field does not determine mixing efficiency. While mixing through turbulent cascade prevails all along the process for grids with weak large-scale advection, fractal grids allow it to be sustained on a larger range of scales. These findings pave the way for the design of efficient fractal oscillating grid mixers with potential applications in the scale-up of high-value bio-processes.

提高混合效率是发展节能强化工艺的关键。混合复杂和剪切敏感的流体仍然具有挑战性:需要湍流来增强混合,但必须在最小的局部剪切下产生,以防止流体降解。在这种情况下,振荡网格提供了一个很有前途的解决方案。在这项工作中,我们研究了分形振荡网格搅拌槽中的被动标量混合。采用注入实验结合ph敏感平面激光诱导荧光,量化了网格振荡参数(频率、幅值)和网格几何形状对混合时间和局部湍流标量动力学的影响。结果表明,增大栅格振荡雷诺数可线性提高混合效率,表明在中等振幅和频率下,栅格振荡是最优的。分形网格优于传统的笛卡尔网格,与i -分形几何提供最好的性能。网格振荡引起的大尺度平流在混合过程中起着关键作用,加速了向高湍流度网格扫掠区域的标量斑输运。网格模式或标量场的有效分形维数不能决定混合效率。在大尺度平流较弱的网格中,湍流级联混合在整个过程中普遍存在,而分形网格则允许它在更大的尺度范围内持续存在。这些发现为高效分形振荡网格混合器的设计铺平了道路,在高价值生物过程的扩大中具有潜在的应用。
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引用次数: 0
Experimental investigations on the flow characteristics of a permeable forward-facing step 透水前台阶流动特性的实验研究
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-19 DOI: 10.1007/s00348-026-04312-0
Yulu Liu, Chao Wang, Jiankang Zhou, Jianghua Li, Jiahua Li, Yuxian Xia, Xiang Qiu

The flow characteristics of a permeable forward-facing step (PFFS) are investigated with particle image velocimetry, and the Reynolds number is (text {Re}_h=3000), 6000 and 9000, and the porosity of the step is (varphi =0), 0.36, 0.56 and 0.75. The influences of the porosity on the flow characteristics are examined. The recirculation region area before the step is decreased as (varphi ) increases from 0.36 to 0.75, which is attributed to the pressure-relief effect of the permeable step. As (varphi ) increases from 0.36 to 0.75, the reattachment length and the recirculation area above the step are increased for (text {Re}_h=3000), while they exhibit a decreasing trend for (text {Re}_h=6000) and 9000. Fluid exchange at upper porous interface is dominated by the blowing of fluid, the higher porosity enhances the fluid exchange intensity, and the fluid exchange intensity is increased as (text {Re}_h) increases. Moreover, for the three (text {Re}_h), the Reynolds stresses and turbulent kinetic energy before the step are decreased as (varphi ) increases from 0.36 to 0.75. For (text {Re}_h=3000), at (varphi =0.36), the corner vortex evolves to the upstream region of the step, and the spanwise vortex is generated from the separated shear layer above the step, and it moves downstream with concentrated vorticity. As (varphi ) increases to 0.75, the corner vortex is mainly distributed before the step, and the spanwise vortex is easily dissipated during its evolution due to the intensified fluid exchange at the interface. In addition, the blowing of fluid induces the vortical structures with positive vorticity at the pores of the porous interface. This study is helpful for understanding the modulation effects of the porous media on the forward-facing step flow, and it may be utilized for flow control of the wall-mounted structures in engineering applications.

采用粒子图像测速技术研究了具有渗透性的前台阶(PFFS)的流动特性,雷诺数分别为(text {Re}_h=3000)、6000和9000,孔隙度分别为(varphi =0)、0.36、0.56和0.75。研究了孔隙度对流体流动特性的影响。台阶前再循环区面积随着(varphi )从0.36增大到0.75而减小,这是由于渗透性台阶的泄压作用。当(varphi )从0.36增加到0.75时,(text {Re}_h=3000)的再附着长度和台阶以上再循环面积增加,而(text {Re}_h=6000)和9000则呈减少趋势。上部孔隙界面处的流体交换以流体的吹入为主,孔隙度越高,流体交换强度越强,流体交换强度随着(text {Re}_h)的增大而增大。此外,对于三个(text {Re}_h),随着(varphi )从0.36增加到0.75,台阶前的雷诺数应力和湍流动能都减小。对于(text {Re}_h=3000),在(varphi =0.36)处,转角涡向台阶上游区域演化,展向涡由台阶上方分离的剪切层产生,并以涡量集中的方式向下游移动。当(varphi )增大到0.75时,转角涡主要分布在阶跃之前,展向涡在演化过程中由于界面处流体交换加剧而容易消散。此外,流体的吹入在多孔界面处形成了正涡量的涡状结构。该研究有助于理解多孔介质对前向阶跃流动的调制作用,并可用于工程应用中壁挂结构的流动控制。
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引用次数: 0
Nonlinear synthetic Schlieren methods for free-surface topography measurement using telecentric imaging 用远心成像测量自由表面形貌的非线性合成纹影方法
IF 2.7 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-17 DOI: 10.1007/s00348-026-04314-y
Shimin Zhang, Frédéric Moisy, Wietze Herreman, Zhiliang Lin

Free-surface synthetic Schlieren (FS-SS) is a high-resolution, refraction-based optical technique for measuring the instantaneous elevation of a liquid interface. Under the assumptions of small amplitude, small slope, and small paraxial angle, the method yields a linear relationship between the gradient of the surface elevation and the apparent displacement field of a refracted pattern imaged through the surface. Here, we propose three new, nonlinear extensions of the FS-SS method that are specifically dedicated to telecentric imaging. Paraxial distortions are eliminated with a telecentric lens, thereby simplifying the optical model. This allows us to derive nonlinear surface reconstruction models that reach beyond the usual limits of small slope and small wave magnitudes. We implement these nonlinear surface reconstruction algorithms and compare them to the original, linear reconstruction algorithm in three different experiments, using a solid glass lens, spreading oil drops, and nonlinear Faraday waves. At the price of a few iterations, we can realize nonlinear surface reconstructions that are more precise, in particular when we reach high slopes or high-amplitude regimes. We share a library that encodes these nonlinear surface reconstruction algorithms.

自由表面合成纹影(FS-SS)是一种高分辨率、基于折射的光学技术,用于测量液体界面的瞬时高度。在小振幅、小坡度、小近轴角的假设下,该方法得到了地表高程梯度与经地表成像的折射图样的视位移场之间的线性关系。在这里,我们提出了三个新的,非线性的FS-SS方法的扩展,专门用于远心成像。用远心透镜消除了近轴畸变,从而简化了光学模型。这使我们能够推导出超出通常的小斜率和小波震级限制的非线性表面重建模型。我们实现了这些非线性表面重建算法,并在三个不同的实验中,使用固体玻璃透镜,扩散油滴和非线性法拉第波,将它们与原始的线性重建算法进行了比较。在几次迭代的代价下,我们可以实现更精确的非线性表面重建,特别是当我们达到高斜率或高振幅状态时。我们共享一个编码这些非线性表面重建算法的库。
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Experiments in Fluids
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