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Time-resolved investigations of streamtraced inlet restart dynamics 流迹进气道重新启动动力学的时间分辨研究
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-16 DOI: 10.1007/s00348-025-04156-0
Ethan C. Johnson, Venkateswaran Narayanaswamy

Obtaining reliable restart of hypersonic inlets in the event of accidental unstart remains a key performance metric that constrains the operational boundary of powered hypersonic vehicles. The present work investigates the restart dynamics in a self-starting axisymmetric hypersonic Buseman inlet, which have a strong practical relevance in future platforms. The restart process was triggered by rapidly decreasing the aerodynamic blockage from a high-bandwidth counter injected jet, which allows the examination of the restart dynamics without being masked by the back pressure transience. Two-dimensional time-resolved pressure fields over inlet and isolator surfaces and time-resolved external shock field during the restart process are obtained at 10 kHz repetition rate. Both these measurements revealed a complex unstart shock motions during restart that include small amplitude relatively broadband oscillations prior to restart, a large amplitude periodic oscillation at the early restart phase, and subsequently followed by a dominant downstream shock motion. A complex flow structure within the external contraction portion of the inlet was discernable in the schlieren imagery with shear layer eddies being spilled out of the inlet. The pressure fields further evidenced a strong variation in the streamwise and azimuthal direction reinforcing the occurrence of flow spillage along both directions. Overall, the restart duration was determined to be approximately 11 ms, which is substantially greater than the unstart time scale of 8 ms obtained in the same inlet using the same back pressuring system. The critical process that extends the restart time is the periodic shock oscillations, which is termed as intermediate buzz in prior investigations, that pervade the first half of the restart process. The power spectral density of the unstart shock motions pointed to a shift in the mechanisms that drive the unstart shock motions during restart.

在意外未启动的情况下获得可靠的高超声速进气道重新启动仍然是限制动力高超声速飞行器运行边界的关键性能指标。本文研究了自启动轴对称高超声速Buseman进气道的重新启动动力学,这在未来的平台上具有很强的实际意义。重新启动过程是通过快速减少高带宽反向注入射流的气动阻塞来触发的,这样可以在不被背压瞬变掩盖的情况下检查重新启动动力学。在10 kHz重复频率下,获得了进口和隔离器表面上的二维时间分辨压力场和重启过程中的时间分辨外激波场。这两项测量都揭示了重启过程中复杂的非启动冲击运动,包括重启前的小幅度相对较宽的振荡,重启初期的大幅度周期性振荡,以及随后的主要下游冲击运动。纹影图像显示,入口外部收缩部分存在复杂的流动结构,剪切层涡流从入口溢出。压力场进一步证明了流向和方位角方向的强烈变化,加强了两个方向的流动溢出。总体而言,重新启动持续时间约为11 ms,这大大大于使用相同背压系统在相同进气道中获得的8 ms的未启动时间尺度。延长重启时间的关键过程是周期性冲击振荡,在先前的研究中被称为中间嗡嗡声,它遍及重启过程的前半部分。未启动冲击运动的功率谱密度表明,在重新启动期间,驱动未启动冲击运动的机制发生了变化。
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引用次数: 0
Pitching moment trend sensing based on vortex identification from surface pressure information on delta wing 基于三角翼表面压力涡识别的俯仰力矩趋势感知
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-16 DOI: 10.1007/s00348-025-04160-4
Jianglong Guo, Yunsong Gu, Longsheng Xue, Linkai Li, Yuzhe Zhang, Jiayuan Kong

Delta wing aircraft generates prominent leading-edge vortex systems, which create a low-pressure region on the leeward side of the wing. The size and position of this low-pressure region significantly influence the aircraft’s aerodynamic performance. Using a 65° delta wing configuration, this paper develops a physics-driven approach based on point-vortex theory: employing a sparse pressure sensor array to identify leading-edge vortex structures and evaluate vortex influence in the wing’s leeward flow. Pressure measurements across the leeward surface of a delta wing track the trajectory and strength of the leading-edge vortex in a measured cross-flow plane. And the gradient of the pressure standard deviation curve (which changes with angle of attack) acts as a reliable indicator for identifying vortex breakdown within that section. Crucially, the dimensionless parameter K, derived from a simplified point-vortex model, quantifies interaction strength as a function of peak suction. Significantly, measurements obtained well ahead of the trailing edge correlate well with the leading-edge vortex’s influence. This holds true even under unsteady free-stream conditions or when vortex breakdown occurs leeward, provided it does not reach the instrumented planes. This approach can advance the intelligent and unmanned development of future aircraft and, furthermore, provide support for early warnings related to high angle of attack (AOA) maneuvers in next-generation fighter aircraft.

三角翼飞机会产生突出的前缘涡系统,在机翼的背风侧形成一个低压区。这个低压区的大小和位置对飞机的气动性能有很大的影响。采用65°三角翼构型,基于点涡理论,提出了一种基于物理驱动的方法:利用稀疏压力传感器阵列识别前缘涡结构并评估机翼下风流动中的涡影响。通过三角翼背风面的压力测量,可以在测量的横流平面上跟踪前缘涡的轨迹和强度。压力标准差曲线的梯度(随迎角变化)是识别该截面内涡破溃的可靠指标。至关重要的是,由简化的点涡模型导出的无量纲参数K将相互作用强度量化为峰值吸力的函数。值得注意的是,在尾缘之前获得的测量结果与前缘涡的影响有很好的相关性。即使在不稳定的自由流条件下,或者当旋涡破裂发生在下风处时,只要它没有到达仪表平面,这也是正确的。该方法可以推进未来飞机的智能化和无人化发展,并为下一代战斗机的大攻角机动预警提供支持。
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引用次数: 0
Explicit illumination correction for error reduction in two-dye LIF thermometry 在双染料LIF测温中减少误差的显式照明校正
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-16 DOI: 10.1007/s00348-025-04159-x
Claudio Mucignat, Thomas Rösgen, Ivan Lunati

We propose a method to perform accurate temperature measurements using laser-induced fluorescence (LIF). We use a sCMOS color camera and a two-dye solution consisting of RuPhen and fluorescein, excited at 450 nm. By varying the relative concentration of the dyes, we can tune the temperature sensitivity of the color channels. This enables a robust laser power correction, reducing the effects of experimental noise compared to the convectional ratiometric approach. Furthermore, the overall temperature sensitivity is only slightly lower compared to that of the temperature-sensitive dye, which is not the case if a ratiometric analysis is performed. We demonstrate the capabilities of our method using a benchtop setup with precisely controlled temperatures. Our error analysis shows that an accuracy better than 0.5 (^circ C) can be achieved. The correction method can be applied to other fluorescence measurement techniques, including pressure-sensitive paints (PSPs).

我们提出了一种使用激光诱导荧光(LIF)进行精确温度测量的方法。我们使用sCMOS彩色相机和由RuPhen和荧光素组成的双染料溶液,在450 nm处激发。通过改变染料的相对浓度,我们可以调整颜色通道的温度敏感性。这使得强大的激光功率校正,减少实验噪声的影响相比,传统的比率方法。此外,与温度敏感染料相比,总体温度敏感性仅略低,如果进行比率分析,则情况并非如此。我们使用具有精确控制温度的台式设置来演示我们的方法的功能。我们的误差分析表明,可以实现优于0.5 (^circ C)的精度。校正方法可应用于其他荧光测量技术,包括压敏涂料(psp)。
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引用次数: 0
A method for surface tension measurement based on capillary forces between monodisperse particles 基于单分散颗粒间毛细力的表面张力测量方法
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-13 DOI: 10.1007/s00348-025-04162-2
Jiahe Xu, Jianwu He, Li Duan, Qi Kang

Surface tension is a key parameter for understanding interfacial behavior in liquids and plays a crucial role in both fundamental scientific research and practical engineering applications. This paper presents a novel method for measuring surface tension, which is based on quantifying the capillary force between particles of equal diameter. The method employs a micro-thrust measurement system from aerospace engineering to directly measure the capillary forces and utilizes an approximate solution to the Young–Laplace equation for liquid bridges formed between spherical particles, establishing a quantitative relationship between capillary force and surface tension. Additionally, CCD industrial cameras were used to capture morphological changes during the stretching of the liquid bridge and analyze gravitational effects via the Bond number to validate the approximate calculation. Surface tension values were measured for dimethyl silicone oil, dodecane, and tetralin, with experimental results demonstrating good agreement with commercial instruments, exhibiting a maximum error below 5%. The proposed method requires minimal liquid volume and is independent of liquid density, offering a reliable and practical approach for surface tension characterization.

表面张力是理解液体界面行为的关键参数,在基础科学研究和实际工程应用中都起着至关重要的作用。本文提出了一种测量表面张力的新方法,该方法基于对等直径颗粒之间毛细管力的量化。该方法采用航空航天工程的微推力测量系统直接测量毛细力,并利用球形颗粒间形成液桥的Young-Laplace方程的近似解,建立毛细力与表面张力之间的定量关系。此外,利用CCD工业相机捕捉液桥拉伸过程中的形态变化,并通过Bond数分析重力效应,验证近似计算结果。测量了二甲基硅油、十二烷和四氢化萘的表面张力值,实验结果与商用仪器一致,最大误差低于5%。所提出的方法需要最小的液体体积,并且不受液体密度的影响,为表面张力表征提供了可靠和实用的方法。
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引用次数: 0
A pyramid approach for background-oriented schlieren tomography 面向背景纹影层析成像的金字塔方法
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-06 DOI: 10.1007/s00348-025-04153-3
Wei Hu, Lijun Yang, Yue Zhang, Pengcheng Wang, Siyi Zhang, Jingxuan Li

This paper proposes a pyramid-based coarse-to-fine background-oriented schlieren (BOS) tomography method to improve three-dimensional reconstruction accuracy in fields with large density gradients. First, a pyramidal BOS digital system with multiple resolutions is constructed to enable synchronized upsampling and downsampling of both flow fields and background images. Subsequently, at each pyramid level, image warping and forward linear/nonlinear tracking are used to progressively correct the projection data and projection matrices, enabling tomography reconstruction at different spatial scales and high-resolution refinement. The performance of the proposed method was demonstrated in both synthetic and real BOS cases.

Graphic Abstract

为了提高密度梯度大的野外三维重建精度,提出了一种基于金字塔的粗精背景纹影(BOS)层析成像方法。首先,构建了一个多分辨率的金字塔型BOS数字系统,实现流场和背景图像的同步上采样和下采样。随后,在每个金字塔层,使用图像扭曲和前向线性/非线性跟踪逐步校正投影数据和投影矩阵,实现不同空间尺度的层析成像重建和高分辨率细化。在合成和实际的BOS案例中验证了该方法的性能。图形抽象
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引用次数: 0
Using copper-foil explosions to generate underwater focusing shocks of different geometries 利用铜箔爆炸产生不同几何形状的水下聚焦冲击
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-05 DOI: 10.1007/s00348-025-04155-1
Sebastián Rojas Mata, Francesc Hernández Garcia, Michael Liverts

Focusing shocks are created underwater by exploding 10-(mu)m-thick copper foils with circular and polygonal geometries. Their symmetry and trajectory are characterized to assess this technique’s potential contributions to fundamental and applied investigations of nonlinear wave propagation and high-energy-density phenomena. The foils are exploded using a pulsed power generator which delivers kiloamp currents in microseconds. Current and voltage time traces of the explosions are recorded concurrently with high-speed shadowgraph images of the shocks. The electric waveforms of the explosions of different foil geometries resemble each other, showing peak resistive voltages, currents, and powers around 10 kV, 300 kA, and 2.5 GW, respectively. By extracting the shocks’ trajectories through statistical analysis of the shadowgraph images, it is found that circular foils, whether free standing or attached to the inside of a plastic shell, create shocks which accelerate up to Mach 1.7. Comparable Mach numbers are achieved by exploding a circular wire array of 32 100-(mu)m-diameter copper wires, indicating that foil designs perform similarly to this traditional design. In contrast, free-standing polygonal foils create shocks which travel at a constant near-sonic speed, seemingly behaving as non-interacting weak planar shocks. This contradicts the theoretically predicted reshaping and acceleration of such shocks; manufacturing imperfections are suspected to cause this unexpected behavior. Alternate designs in which foils are attached to polygonal plastic shells are tested and found to create shocks which do reshape and accelerate.

聚焦冲击是通过爆炸10- (mu)米厚的圆形和多边形铜箔在水下产生的。对它们的对称性和轨迹进行了表征,以评估该技术对非线性波传播和高能量密度现象的基础和应用研究的潜在贡献。箔片使用脉冲发电机爆炸,在微秒内产生千安培电流。爆炸的电流和电压时间轨迹与冲击的高速阴影图像同时记录下来。不同形状箔的爆炸波形相似,峰值电阻电压、电流和功率分别在10kv、300ka和2.5 GW左右。通过对阴影图像的统计分析提取冲击轨迹,发现无论是独立的还是附在塑料外壳内部的圆形箔片,都会产生加速度高达1.7马赫的冲击。类似的马赫数是通过引爆由32根直径为100- (mu)米的铜线组成的圆形线阵列来实现的,这表明箔设计的性能与这种传统设计相似。相比之下,独立的多边形箔片产生的激波以恒定的接近音速的速度传播,似乎表现为非相互作用的弱平面激波。这与理论预测的这种冲击的重塑和加速相矛盾;制造缺陷被怀疑是造成这种意外行为的原因。另一种设计是将箔片附着在多边形塑料壳上,经过测试发现,这种设计会产生重塑和加速的冲击。
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引用次数: 0
Characterization of liquid jet breakup mechanisms in a swirl coaxial aerated injector 旋流同轴加气喷射器中液体射流破碎机理的表征
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-02 DOI: 10.1007/s00348-025-04154-2
Harikrishnan Harikumar, Ajay Vincent Raj, Rajesh Sadanandan

Mechanism of spray breakup in a swirl coaxial aerated injector (SCAI) that couples internal effervescent mixing with a swirl stream is reported. Shadowgraph experiments span liquid flow rate, injection pressure, gas-to-liquid ratio (GLR) and swirl momentum ratio (MR) to map how parametric variations influence the near-field atomization pathway. The images reveal a consistent sequence of mechanisms—intact core, interfacial waves, ligament formation and fine fragment clouds—whose location and intensity shift systematically with different operating points. Increasing liquid injection pressure tightens the core and advances breakup toward the lip; increasing GLR promotes early stripping, broad liquid-film shedding and a wider droplet-size spectrum; increasing liquid flow rate (at fixed aeration) lengthens the intact region and delays fragmentation; adding coaxial swirl shortens the intact length, widens the cone and redistributes fragments into an annular shell. To quantify these changes, we apply snapshot proper orthogonal decomposition (POD) to large image datasets captured at each operating point in order to isolate the coherent structures. Four spectral modes were sufficient for every test case. These findings provide a reduced-order description that links injector settings to breakup physics and serve as guidance for injector spray design.

报道了涡流同轴加气喷射器内泡腾混合与涡流流耦合的射流破碎机理。阴影图实验涵盖了液体流速、注射压力、气液比(GLR)和涡流动量比(MR),以映射参数变化对近场雾化路径的影响。图像显示了一个一致的机制序列——完整的核、界面波、韧带形成和细碎片云,它们的位置和强度随着不同的操作点而系统地变化。液体注入压力的增加使核心收紧,并使破裂向唇部推进;增加GLR可促进早期剥离、更宽的液膜脱落和更宽的液滴尺寸谱;增加液体流量(在固定曝气条件下)延长了完整区域,延缓了破碎;同轴旋流的加入缩短了完整的长度,使锥变宽,碎片重新分布到一个环形的壳中。为了量化这些变化,我们对在每个操作点捕获的大型图像数据集应用快照适当正交分解(POD),以隔离相干结构。对于每个测试用例,四个谱模式就足够了。这些发现提供了一个简化的描述,将喷油器设置与破裂物理联系起来,并为喷油器喷雾设计提供指导。
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引用次数: 0
Evaluation of wavelet-based optical flow for high-resolution velocimetry in primary breakup 基于小波光流的高分辨率初裂测速评价
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-01 DOI: 10.1007/s00348-025-04152-4
Adam Wilson, Elliott Lewis, Farid A. Hammad, Theodore Huckstep, Fabian Fröde, Alexander Nicolas, Megan Paciaroni, Mark Linne, Heinz Pitsch, Brian Peterson

The primary breakup process of an atomizing spray is an intriguing area of research, for which the fluid mechanics governing primary breakup at liquid–gas interfaces (LGIs) remain largely under-resolved. This work evaluates the performance of wavelet-based optical flow velocimetry (wOFV) for measuring velocities at the LGI during the primary breakup process of an atomizing liquid jet. Sequential 2D scalar images, rendered from a direct numerical simulation (DNS) of a temporally evolving atomizing liquid jet, are used as ground-truth data to quantify wOFV accuracy at different stages of breakup. The sharp interfacial intensity gradients inherent to spray images enable wOFV to achieve good accuracy with an error down to 6.5% for the images analyzed. Two regularization terms are assessed (first-order Horn & Schunck and second-order Laplacian) and yield comparable error magnitudes, likely due to the flow exhibiting a strong principal flow direction. Accuracy improves markedly as breakup progresses due to increasing interfacial corrugation and reduced local regions of motion ambiguity. In this work, wOFV is shown to provide 20–40% higher accuracy than cross-correlation-based methods with superior vector resolution. This application of wOFV shows better accuracy compared to previous optical flow investigations involving diffuse scalar fields. The reduced motion ambiguity from sharp interfacial intensity features of the LGI results in accuracy levels closer to those achieved for discrete particle images. A simple warping-based procedure is introduced to provide an estimate of wOFV accuracy in the absence of ground-truth data. This procedure is tested on both synthetic images as well as experimental images of a turbulent jet undergoing primary breakup. Findings show good agreement with error metrics from ground-truth data and can provide valuable guidance in (lambda) selection and in estimating the uncertainty of wOFV. Findings demonstrate the proficiency of wOFV to resolve velocity estimates along interfaces with high-resolution and acceptable accuracy, providing promising opportunities to study the fluid mechanics of primary breakup, which will be presented in future studies.

Graphical abstract

雾化喷雾的初次破裂过程是一个有趣的研究领域,其中控制液气界面(lgi)初次破裂的流体力学在很大程度上尚未得到解决。本研究评估了基于小波光流测速法(wOFV)测量雾化液体射流初级破裂过程中LGI处速度的性能。通过直接数值模拟(DNS)对雾化液体射流进行时间演化,获得了连续二维标量图像,并将这些图像作为实相数据来量化wOFV在不同破碎阶段的精度。喷射图像固有的尖锐界面强度梯度使wOFV能够达到良好的精度,误差低至6.5% for the images analyzed. Two regularization terms are assessed (first-order Horn & Schunck and second-order Laplacian) and yield comparable error magnitudes, likely due to the flow exhibiting a strong principal flow direction. Accuracy improves markedly as breakup progresses due to increasing interfacial corrugation and reduced local regions of motion ambiguity. In this work, wOFV is shown to provide 20–40% higher accuracy than cross-correlation-based methods with superior vector resolution. This application of wOFV shows better accuracy compared to previous optical flow investigations involving diffuse scalar fields. The reduced motion ambiguity from sharp interfacial intensity features of the LGI results in accuracy levels closer to those achieved for discrete particle images. A simple warping-based procedure is introduced to provide an estimate of wOFV accuracy in the absence of ground-truth data. This procedure is tested on both synthetic images as well as experimental images of a turbulent jet undergoing primary breakup. Findings show good agreement with error metrics from ground-truth data and can provide valuable guidance in (lambda) selection and in estimating the uncertainty of wOFV. Findings demonstrate the proficiency of wOFV to resolve velocity estimates along interfaces with high-resolution and acceptable accuracy, providing promising opportunities to study the fluid mechanics of primary breakup, which will be presented in future studies.Graphical abstract
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引用次数: 0
Study of shock wave and boundary layer interactions in converging–diverging nozzles with varying inlet air humidity levels 不同入口空气湿度水平下收敛-发散喷管激波与边界层相互作用的研究
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-11-21 DOI: 10.1007/s00348-025-04150-6
Mirosław Majkut, Sławomir Dykas, Krystian Smołka, Guojie Zhang

This paper investigates the interaction between shock waves and boundary layers in half-nozzles under varying nozzle pressure ratios (NPR) and inlet air humidity. Three nozzle geometries (N1, N2, N3) with distinct expansion rates were tested experimentally and numerically under varying nozzle pressure ratios (NPR = 1.4, 1.6, 1.8) and relative humidity levels (30%, 50%, 70%). Experimental methods included high-speed Schlieren imaging (6000 fps) and high-frequency pressure transducers (> 10 kHz), while numerical simulations employed the Unsteady Reynolds-Averaged Navier–Stokes (URANS) method with the k-ω SST turbulence model. Results show that increasing NPR elevates oscillation frequencies, while higher humidity amplifies these frequencies. The URANS method predicted primary frequencies accurately but required hybrid URANS/LES approaches for broader spectral resolution.

本文研究了不同喷嘴压力比和入口空气湿度条件下半喷嘴内激波与边界层的相互作用。在不同的喷嘴压力比(NPR = 1.4、1.6、1.8)和相对湿度(30%、50%、70%)下,对具有不同膨胀率的3种喷嘴几何形状(N1、N2、N3)进行了实验和数值测试。实验方法包括高速纹影成像(6000 fps)和高频压力传感器(> 10 kHz),数值模拟采用k-ω海温湍流模型的非定常reynolds - average Navier-Stokes (URANS)方法。结果表明,增大的湿度会使振荡频率升高,而增大的湿度则会放大振荡频率。URANS方法可以准确预测主频率,但需要混合URANS/LES方法以获得更宽的频谱分辨率。
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引用次数: 0
Impact and spreading of spark-induced micro-jets 火花微射流的冲击与扩散
IF 2.5 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-11-20 DOI: 10.1007/s00348-025-04148-0
Eliana Rodriguez, Kathlyn Tankersley, Idera Lawal, Jeremy Marston

In this paper, we report on the dynamics of micro-jet impact and spreading on a solid substrate. The jets are the product of electrical discharge in a liquid confined to a capillary tube; the resulting spark creates a pressure impulse which rapidly deforms the concave meniscus into a fine jet ((d_{jet} sim O(100),upmu)m) and then a heat-induced vapor bubble which expands and ejects more liquid from the end of capillary tube, as previously described in Rohilla and Marston (Exp Fluids 64:90, 2023) and Lawal et al. (Int J Pharm 674:125400, 2025). Here, we provide insight into the impact and spreading of these micro-jets across a range of fluid properties. We found jet speeds up to 81 m/s encompassing a wide range of Weber and Reynolds numbers (We (sim O(10^{1} {-} 10^{4})) and Re (sim O(10^{1} {-} 10^{4}))), with different modes such as simple deposition, fine/early splash, and violent splashing. In accordance with previous reports on splashing in drop impact, we found that a modified Weber number based on the ejecta sheet, We (= rho delta u_{ej}^{2}/sigma), provides a concise way to delineate phenomena such as deposition vs. splashing, while maximum spreading is best described using, (beta _{max } sim sqrt{text{We}}).

本文报道了微射流在固体基体上的冲击和扩散动力学。射流是毛细管内液体放电的产物;由此产生的火花产生压力脉冲,使凹半月板迅速变形为细射流((d_{jet} sim O(100),upmu) m),然后形成热诱导蒸汽泡,膨胀并从毛细管末端喷出更多液体,如先前在Rohilla和Marston (Exp Fluids 64: 90,2023)和Lawal等人(Int J Pharm 674: 125400,2025)中所述。在这里,我们提供了这些微射流在一系列流体性质中的影响和传播的见解。我们发现喷射速度高达81米/秒,包含了广泛的韦伯和雷诺数(We (sim O(10^{1} {-} 10^{4}))和Re (sim O(10^{1} {-} 10^{4}))),具有不同的模式,如简单沉积,精细/早期飞溅和剧烈飞溅。根据先前关于水滴撞击中飞溅的报告,我们发现基于喷射表的修正韦伯数we (= rho delta u_{ej}^{2}/sigma)提供了一种简明的方法来描述沉积与飞溅等现象,而最大扩散最好使用(beta _{max } sim sqrt{text{We}})来描述。
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引用次数: 0
期刊
Experiments in Fluids
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