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Sediment deposition in a channel with floating vegetation based on a random displacement model 基于随机位移模型的浮动植被河道泥沙淤积
IF 3.5 3区 工程技术 Pub Date : 2025-09-10 DOI: 10.1007/s42241-025-0038-x
Chuan Li, Zi-qin Gui, Si-chen Sun, Yu-qi Shan, Bi-qiong Wu, Chao Liu

In open channels, floating vegetation canopies (e.g., E. crassipes) reduce the flow velocity within canopies and increase the velocity in the free-flow region below canopies. The variation in the flow structure below the canopies impacts both sediment resuspension and deposition onto the channel bed. Combining the random displacement model with the sediment deposition probability, a new model was proposed for predicting the longitudinal distribution of sediment deposition below floating vegetation canopies. The deposition distributions were measured below floating canopies of model vegetation (rigid cylinders) and real vegetation (E. crassipes). The measurements agreed well with the predictions of the proposed deposition model. With the use of the proposed model, the impacts of floating E. crassipes canopies on the deposition distribution were examined for different upstream mean flow velocities (U0), relative flow depths (hg/H), vegetation densities (a) and sediment sizes (ds). The results suggested that net deposition below floating canopies decreased with increasing U0 and a and with decreasing hg/H. Under the same flow and vegetation conditions, smaller sediment particles were more likely to become resuspended, resulting in less net deposition below the floating canopies. These results can improve the fundamental understanding of vegetation-based river management and ecological restoration.

在明渠中,漂浮的植被冠层(如蔓生草)降低了冠层内的流速,增加了冠层下方自由流区的流速。冠层下水流结构的变化既影响沉积物的再悬浮,也影响沉积物在河床上的沉积。将随机位移模型与泥沙淤积概率相结合,提出了一种预测浮动植被冠层下泥沙淤积纵向分布的新模型。在模型植被(刚性圆柱体)和真实植被(E. crassipes)的浮冠下测量了沉积分布。测量结果与提出的沉积模型的预测吻合得很好。利用该模型,研究了不同上游平均流速(U0)、相对流速(hg/H)、植被密度(a)和泥沙粒径(ds)下,飘浮沙棘冠层对沉积分布的影响。结果表明,随着U0和a的增加以及hg/H的减小,漂浮冠层下净沉积减少。在相同的流量和植被条件下,较小的泥沙颗粒更有可能重新悬浮,导致漂浮冠层下的净沉积较少。这些结果可以提高对基于植被的河流管理和生态恢复的基本认识。
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引用次数: 0
Modal analysis of vortex rope and cavitation surge in a diffuser at different swirl and cavitation conditions 不同旋流和空化条件下扩散器涡绳和空化喘振的模态分析
IF 3.5 3区 工程技术 Pub Date : 2025-09-10 DOI: 10.1007/s42241-025-0040-3
Diana Sofia Puga Gallegos, Zhao-hui Qian, Xian-wu Luo

This study investigates cavitating swirling flow in a diffuser, i.e., a simplified model of a Francis turbine draft tube, using proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) applied to velocity and pressure field data. The interaction between vortex rope precession and cavitation surge under varying swirl and cavitation numbers is analyzed. The modal analysis results depicted the coherent structures correlated to the vortex rope precession near the diffuser inlet and the diffuser outlet, and cavitation surge in the diffuser. The POD analysis accurately revealed the flow features in the diffuser: The conical structure represents the flow diffusion with vortex rope precession and the reverse core indicates the backflow in the diffuser for the averaged flow, and the double helical structure near the diffuser inlet for the representative flow oscillation. The typical coherent structures obtained by the DMD for the cavitating swirling flow in the diffuser are the double helical structure concentrated near the diffuser inlet. The double helical structure also appears near the diffuser outlet where the breakdown of vortex rope occurs and the flow oscillation slows down. Once cavitation occurs, the mode induced by cavitation surge and its corresponding coherent structure may change according to the operating condition. The flow oscillation can be changed from the double helical mode to the axial oscillation caused by cavitation surge named breathing mode if cavitation surge becomes strong enough at a small cavitation number or large swirl number.

本文采用适当的正交分解(POD)和动态模态分解(DMD)对速度场和压力场数据进行分析,研究了扩压器内的空化旋流,即混流式水轮机尾水管的简化模型。分析了不同旋流和空化数条件下涡绳进动与空化浪涌的相互作用。模态分析结果描述了扩散器入口和出口附近涡绳进动相关的相干结构,以及扩散器内的空化喘振。POD分析准确地揭示了扩压器内的流动特征:锥形结构代表涡旋绳进动的流动扩散,反芯表示平均流量下扩压器内的回流,扩压器入口附近的双螺旋结构代表代表性的流动振荡。扩压器内空化旋流的典型相干结构是集中在扩压器入口附近的双螺旋结构。在扩压器出口附近也出现了双螺旋结构,在那里涡绳发生断裂,流动振荡减缓。一旦发生空化,空化浪涌诱导的模态及其相应的相干结构会随着工况的变化而变化。在较小的空化数或较大的旋流数下,当空化喘振足够强时,流动振荡可以由双螺旋模式转变为由空化喘振引起的轴向振荡,即呼吸模式。
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引用次数: 0
Contour segmentation of fish body with neural network model and characteristic parameter analysis of zebrafish swimming 基于神经网络模型的鱼体轮廓分割及斑马鱼游泳特征参数分析
IF 3.5 3区 工程技术 Pub Date : 2025-09-10 DOI: 10.1007/s42241-025-0037-y
Meng-chen Gao, Li-fan Lin, Jian Xue, Yong-liang Yu

Research on the high maneuverability of fish swimming primarily involves addressing the batch processing of large experimental data, specifically how to simultaneously capture and rapidly process deformation-displacement information of fish bodies and related flow fields. The primary objective of this study is to integrate high-speed photography technology with deep learning methods to propose a set of data processing methods suitable for extracting fish swimming characteristic parameters. For the rapid movements of zebrafish (millisecond-level motion), this study utilized a high-speed camera for image acquisition, obtaining batches of swimming fish images and fluorescence particle information in the flow field. The geometric reconstruction of zebrafish under high-speed swimming was achieved by introducing deep learning algorithms and refining the U-Net model. To tackle the challenges of complex fish swimming scenes, we utilized a novel residual connection approach (path modification) and constructed a hybrid function model (module enhancement), resulting in a new neural network model tailored for zebrafish swimming image processing: Mod-UNet. Through testing, the improved Mod-UNet model effectively eliminated interference from fluorescence particles in the flow field on the extraction of fish body contours, achieving an overall IoU coefficient of 93%. The processing results demonstrated a kind of consistency compared to results obtained with traditional methods by previous researchers. By calculating the geometric morphology of zebrafish, we further derived the kinematic characteristics of zebrafish. Simultaneously, by applying cross-correlation algorithms to calculate the positions of fluorescence particles, the velocity characteristics of the flow field were obtained. The λci method and the Ω method were used to identify vortex structures, providing the evolution patterns of corresponding flow field characteristic parameters. The experimental data processing method proposed in this paper provides technical support for establishing a zebrafish swimming information database.

鱼类高机动性的研究主要涉及到大量实验数据的批量处理,即如何同时捕获和快速处理鱼体及相关流场的变形位移信息。本研究的主要目的是将高速摄影技术与深度学习方法相结合,提出一套适合提取鱼类游泳特征参数的数据处理方法。针对斑马鱼的快速运动(毫秒级运动),本研究利用高速摄像机进行图像采集,获得了流场中游动鱼的批量图像和荧光粒子信息。通过引入深度学习算法,对U-Net模型进行改进,实现了斑马鱼高速游泳时的几何重构。为了解决复杂鱼类游泳场景的挑战,我们采用了一种新的残差连接方法(路径修改)和混合函数模型(模块增强),得到了一种适合斑马鱼游泳图像处理的新型神经网络模型:Mod-UNet。经测试,改进的Mod-UNet模型有效地消除了流场中荧光粒子对鱼体轮廓提取的干扰,整体IoU系数达到93%。与以往研究人员用传统方法得到的结果相比,处理结果具有一定的一致性。通过计算斑马鱼的几何形态,进一步推导出斑马鱼的运动学特征。同时,通过互相关算法计算荧光粒子的位置,得到了流场的速度特性。采用λci法和Ω法对涡结构进行识别,给出了相应流场特征参数的演化规律。本文提出的实验数据处理方法为建立斑马鱼游泳信息库提供了技术支持。
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引用次数: 0
On the three-dimensionality and spanwise variations of cloud cavitation: A combined numerical and experimental study 云空化的三维及展向变化:数值与实验相结合的研究
IF 3.5 3区 工程技术 Pub Date : 2025-09-10 DOI: 10.1007/s42241-025-0041-2
Hao Zhang, Yun-qiao Liu, Ben-long Wang

Cloud cavitation that forms around a two-dimensional hydrofoil may exhibit three-dimensional characteristics. This study investigates the spanwise variations of cloud-cavitating flows through comprehensive analyses of both numerical results and experimental snapshots. Experiments were conducted in the cavitation tunnel, utilizing high-speed cameras to record the evolution of cavitation, while the cavitating flow of the same configuration was simulated using detached eddy simulation (DES). The three-dimensional shedding phenomena of cloud cavitation, characterized by spanwise variations, are observed in both numerical and experimental results, impacting on the oscillation of hydrodynamic forces. According to the investigation on the spatial-temporal evolution of flow field, two distinct patterns in terms of spanwise shedding of cloud cavitation, namely complete and incomplete shedding, are identified.

在二维水翼周围形成的云空化可能表现出三维特征。本文通过对数值结果和实验快照的综合分析,探讨了云空化流的展向变化。实验在空化隧道中进行,利用高速摄像机记录空化的演变过程,同时利用分离涡模拟(DES)模拟相同构型的空化流动。在数值和实验结果中均观察到云空化的三维脱落现象,该现象具有展向变化的特征,影响了水动力的振荡。通过对流场时空演化的研究,确定了云空化沿展向脱落的两种不同模式,即完全脱落和不完全脱落。
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引用次数: 0
Position-dependent hydrodynamic response of moored container ship under rogue waves 巨浪作用下系泊集装箱船位置相关水动力响应
IF 3.5 3区 工程技术 Pub Date : 2025-09-10 DOI: 10.1007/s42241-025-0039-9
Yuan Zhuang, Bo-wei Song, De-cheng Wan, Moustafa Abdel-Maksoud

This paper employs the high-order-spectral-computational fluid dynamics (HOS-CFD) method to analyze the motion responses of a moored container ship at three positions in a rogue wave: before, at, and after its maximum wave height. These three positions display during the nonlinear evolution of the rogue wave. Numerical results are validated against physical wave tank experiments, where the rogue wave is accurately reproduced using the HOS method. The numerical results of position-dependent hydrodynamic responses in the rogue wave show that the maximum heave and surge motions do not occur at the location of maximum wave height. The heave motion peak appears before the location, the surge motion peak happens afterward and the pitch motion peak is at the location. Wavelet transform analysis is adopted to explain this situation. Scattering wave field analyses are carried out to show the different scattering wave types around the ship during the evolution of the rogue wave.

本文采用高阶谱计算流体动力学(HOS-CFD)方法,分析了停泊集装箱船在异常浪前、最大浪高处和最大浪高后三个位置的运动响应。这三个位置显示在异常波的非线性演化过程中。数值结果与物理波槽实验结果进行了对比验证,在物理波槽实验中,利用HOS方法精确地再现了异常波。异常浪位置相关的水动力响应的数值结果表明,最大升沉和浪涌运动并不发生在最大波高的位置。升沉运动峰值出现在定位前,浪涌运动峰值出现在定位后,俯仰运动峰值出现在定位后。采用小波变换分析来解释这种情况。通过散射波场分析,揭示了异常浪演变过程中船舶周围不同类型的散射波。
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引用次数: 0
Investigation into the performance of galloping piezoelectric energy harvesters with two symmetrical splitters in different arrangements 两种不同布置对称分路器的驰骋式压电能量采集器性能研究
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0031-4
Cheng-yun Zhang, Hao Wu, Bing Li, En-hao Wang, Jun-lei Wang

To enhance the efficiency of wind energy harvesters, aerodynamic modifications to bluff bodies prove highly effective. This study introduces two innovative galloping piezoelectric energy harvesters (GPEHs) equipped with two symmetrical splitters on a cuboid bluff body: GPEH with upstream splitters (GPEH-US) and GPEH with downstream splitters (GPEH-DS). Wind tunnel experiments evaluated the impact of splitter angle and length on energy harvesting performance across varying wind speeds. The results indicate that larger splitter angles and shorter lengths are more favorable for energy harvesting in GPEH-US. The optimal configuration, determined as GPEH-US with α = 90° , L = 0.4D , reduces the threshold wind speed, expands the effective wind speed range for energy harvesting, and increases maximum voltage and power output by over 99%, 301%, respectively, compared with conventional GPEH. Conversely, GPEH-DS are less effective for energy harvesting but demonstrate potential in vibration control applications. Computational fluid dynamics (CFD) simulations using the OpenFOAM toolbox qualitatively elucidate the physical mechanisms driving these results. A larger splitter angle enables secondary small-scale vortices (SV) to absorb more energy, accelerates boundary layer separation, intensifies and disorderly vortex shedding, enhances aerodynamic instability, and improves energy harvesting performance.

为了提高风能收集器的效率,对钝体进行空气动力学修改是非常有效的。本研究介绍了两种新型奔腾式压电能量采集器(GPEH): GPEH上游分流器(GPEH- us)和GPEH下游分流器(GPEH- ds)。风洞实验评估了分离器角度和长度对不同风速下能量收集性能的影响。结果表明,较大的分离器角度和较短的分离器长度更有利于GPEH-US的能量收集。最佳配置为α = 90°,L = 0.4D的GPEH- us,降低了阈值风速,扩大了能量收集的有效风速范围,最大电压和功率输出分别比常规GPEH提高了99%和301%以上。相反,GPEH-DS在能量收集方面效果较差,但在振动控制应用方面具有潜力。使用OpenFOAM工具箱的计算流体动力学(CFD)模拟定性地阐明了驱动这些结果的物理机制。较大的分流角使次级小尺度涡吸收更多的能量,加速边界层分离,加剧无序的涡脱落,增强气动不稳定性,提高能量收集性能。
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引用次数: 0
Numerical study of the control of flow field and propeller cavitation pressure fluctuation behind the ship 船后流场及螺旋桨空化压力波动控制的数值研究
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0035-0
Chao-sheng Zheng, Kang Liu, Deng-cheng Liu, Fang-wen Hong, Zhi-rong Zhang

Addressing the issue of excessive cavitation pressure fluctuation on the propeller behind a catamaran, numerical simulation is conducted to assess the quality of the wake flow and to numerically predict the pressure fluctuation induced by the propeller cavitation. Additionally, the interaction between the wake vortex field and the propeller is investigated, revealing the presence of propeller-hull vortex. To improve the propeller's inflow quality, the impact of vortex generators on the wake flow and pressure fluctuation is numerically simulated. Then, numerical simulations are conducted to compare the cavitation pressure fluctuation of optimized propeller design, evaluating the effects of vortex generators at different spatial locations and angles of attack, to determine the optimal vortex generator scheme. A more comprehensive integrated control plan for the wake flow and the cavitation pressure fluctuation of the propeller behind the catamaran is finally formed.

针对双体船尾部螺旋桨空化压力波动过大的问题,通过数值模拟来评估尾流质量,并对螺旋桨空化引起的压力波动进行数值预测。此外,研究了尾流涡场与螺旋桨之间的相互作用,揭示了螺旋桨-船体涡的存在。为了提高螺旋桨的进流质量,对涡发生器对尾流和压力波动的影响进行了数值模拟。然后进行数值模拟,对比优化后螺旋桨空化压力波动,评估不同空间位置和迎角下涡发生器的影响,确定最优涡发生器方案。最后对双体船尾部尾流和螺旋桨空化压力脉动形成了较为全面的综合控制方案。
{"title":"Numerical study of the control of flow field and propeller cavitation pressure fluctuation behind the ship","authors":"Chao-sheng Zheng,&nbsp;Kang Liu,&nbsp;Deng-cheng Liu,&nbsp;Fang-wen Hong,&nbsp;Zhi-rong Zhang","doi":"10.1007/s42241-025-0035-0","DOIUrl":"10.1007/s42241-025-0035-0","url":null,"abstract":"<div><p>Addressing the issue of excessive cavitation pressure fluctuation on the propeller behind a catamaran, numerical simulation is conducted to assess the quality of the wake flow and to numerically predict the pressure fluctuation induced by the propeller cavitation. Additionally, the interaction between the wake vortex field and the propeller is investigated, revealing the presence of propeller-hull vortex. To improve the propeller's inflow quality, the impact of vortex generators on the wake flow and pressure fluctuation is numerically simulated. Then, numerical simulations are conducted to compare the cavitation pressure fluctuation of optimized propeller design, evaluating the effects of vortex generators at different spatial locations and angles of attack, to determine the optimal vortex generator scheme. A more comprehensive integrated control plan for the wake flow and the cavitation pressure fluctuation of the propeller behind the catamaran is finally formed.</p></div>","PeriodicalId":637,"journal":{"name":"Journal of Hydrodynamics","volume":"37 3","pages":"497 - 504"},"PeriodicalIF":3.5,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145248334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Cavitation model of non-equilibrium between phase transition and hydrodynamics 相变与流体力学非平衡空化模型
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0033-2
Fang-wen Hong, Shu-cheng Zhai, Chao-sheng Zheng, Deng-cheng Liu

During strong unsteady flow processes such as cavitation initiation and collapse, the volume changes generated by the materials transformation of cavitation phase transition seriously lag behind the volume evolution formed by the flow process. The phase transition and hydrodynamics are in a non-equilibrium state. A cavitation model that can describe such non-equilibrium phenomena is needed in numerical simulations of cavitation flow. The paper starts from the molecular dynamics’ principle of phase change of matter, and based on the Maxwell velocity distribution form of molecular thermal motion, elaborates on the formation process of Hertz Knudsen formula for material exchange at the interface between liquid and vapor. On this basis, using the evolution equation of gas nucleus number density in water and the compressible state equation of vapor, a non-equilibrium cavitation model for phase transition and hydrodynamics is established. The simulation results of a vapor bubble collapse process in the non-equilibrium cavitation model show different behavior from the simulation results of the equilibrium cavitation model. The simulation results of the equilibrium cavitation model show that the vapor bubble collapses once and completely disappear, while the simulation results of the non-equilibrium cavitation model show multiple collapses and rebound, which is agreement with the experimental results of the vapor bubble collapse.

在空化起爆、崩塌等强非定常流动过程中,空化相变材料转化产生的体积变化严重滞后于流动过程形成的体积演化。相变和流体力学处于非平衡状态。空化流动的数值模拟需要一种能够描述这种非平衡现象的空化模型。本文从分子动力学的物质相变原理出发,以分子热运动的麦克斯韦速度分布形式为基础,阐述了液汽界面处物质交换的Hertz Knudsen公式的形成过程。在此基础上,利用水中气体核数密度的演化方程和蒸汽的可压缩状态方程,建立了相变和流体力学的非平衡空化模型。非平衡空化模型下的汽泡坍缩过程的模拟结果与平衡空化模型的模拟结果不同。平衡空化模型的模拟结果表明,汽泡崩溃一次后完全消失,而非平衡空化模型的模拟结果显示,汽泡多次崩溃并反弹,这与汽泡崩溃的实验结果一致。
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引用次数: 0
Simulating stochastic transport: An efficient random displacement model for multi-domain applications in ecology, hydraulics, and environmental systems 模拟随机输运:在生态、水力学和环境系统中多领域应用的高效随机位移模型
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0032-3
Liu Yang, Zhong-hua Yang, Meng-yang Liu, Yi-dan Ai, Wen-xin Huai

The random displacement model (RDM) can efficiently simulate particle transport processes, which are difficult to observe, incorporating stochastic and hydraulic parameters. In recent decades, it has been used in many domains, including environments, hydraulics, and ecology. However, the results exhibit significant uncertainties arising from the model resolution, hydrodynamic accuracy, intrinsic characteristics of particles, and boundary conditions. The objective of the present study is to comprehensively interpret the RDM from theory to application, and emphasize essential considerations for users in different domains. The study also provides several application strategies for the model, based on several practical RDM cases. Determining the turbulent diffusivity and velocity profiles in complex flow field is a critical step to precisely simulate particle movement. Furthermore, the physical and biological properties of passive and active particles require fundamental investigation to extend the applicability of the model. Existing studies suggest that flexibly coupling the RDM with other numerical models customized to the characteristics of distinct problems will substantially expand the utility of the RDM and could yield innovative approaches for addressing previously intractable issues.

随机位移模型(RDM)结合随机参数和水力参数,能有效地模拟难以观测的颗粒输运过程。近几十年来,它已被应用于许多领域,包括环境、水力学和生态学。然而,由于模型分辨率、流体动力精度、粒子固有特性和边界条件的影响,结果显示出显著的不确定性。本研究的目的是全面解读RDM从理论到应用,并强调不同领域用户的基本考虑。基于几个实际的RDM案例,给出了模型的几种应用策略。确定复杂流场中湍流扩散系数和速度分布是精确模拟粒子运动的关键步骤。此外,需要对被动和主动粒子的物理和生物特性进行基础研究,以扩展模型的适用性。现有研究表明,将RDM与针对不同问题的特征定制的其他数值模型灵活耦合将大大扩展RDM的效用,并可能产生解决以前棘手问题的创新方法。
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引用次数: 0
The mechanisms of air-driven growth of tip vortex cavity 叶顶涡空腔气动生长机理研究
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0034-1
Xin-zhen Qin, Xue-ming Shao, Jian Deng

Tip vortex cavitation (TVC) is a critical phenomenon in propeller and turbine machinery. While much of the existing research on TVC has focused on its inception, the mechanisms driving its continuous growth remain under-explored. In this study, we propose a comprehensive theoretical model that integrates both gas diffusion and free nuclei entrainment to better understand the slow growth of tip vortex cavity. The efficacy of this model is validated by comparing its predicted temporal evolution of cavity size with experimental data, under both nuclei-depleted and large nuclei-injection conditions. Additionally, the model is used to further examine the individual effects of nuclei content and size on tip vortex cavity growth. Results reveal that, in sub-saturated nuclei flow, two critical equilibrium values for cavity size are identified: one determined by the balance of dissolved gases inside the cavity and the surrounding fluid, and the other by the balance between dissolved gases inside the cavity and the surrounding gas nuclei. The cavity stability size gradually shifts from the first to the second critical value as the gas nuclei content increases. However, since the model does not consider the destabilization mechanism of the cavity, the cavity may destabilize before reaching the second critical value. Meanwhile, the cavity growth rate increases significantly with increasing gas nuclei size. This work not only provides a comprehensive explanation for the experimental observations, but also provides new insights into the hysteresis phenomenon observed in TVC.

叶尖涡空化(TVC)是螺旋桨和涡轮机械中的一种重要现象。虽然现有的研究大多集中在TVC的起源上,但其持续增长的机制仍未得到充分探讨。在本研究中,我们提出了一个综合气体扩散和自由核夹带的理论模型,以更好地理解尖端涡腔的缓慢生长。在缺核和大注核两种条件下,通过将模型预测的空腔尺寸的时间演变与实验数据进行比较,验证了该模型的有效性。此外,该模型还用于进一步研究核含量和大小对尖端涡腔生长的个别影响。结果表明,在亚饱和核流中,确定了两个临界平衡值:一个是由腔内溶解气体与周围流体的平衡决定的,另一个是由腔内溶解气体与周围气核的平衡决定的。随着气核含量的增加,空腔稳定尺寸逐渐从第一临界值向第二临界值偏移。然而,由于模型没有考虑空腔的失稳机制,因此在达到第二个临界值之前,空腔可能会失稳。同时,随着气核尺寸的增大,空腔生长速率显著增加。这项工作不仅对实验观察结果提供了全面的解释,而且对TVC中观察到的滞后现象提供了新的见解。
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引用次数: 0
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Journal of Hydrodynamics
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