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Droplet impinging on sparse micropillar-arrayed non-wetting surfaces 撞击稀疏微柱阵列非润湿表面的液滴
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0226032
Jialong Wu, Longfei Zhang, Yingfa Lu, Yingsong Yu
Wettability of droplets and droplet impinging on sparse micropillar-arrayed polydimethylsiloxane (PDMS) surfaces were experimentally investigated. For droplets wetting on these surfaces, the contact line density model combining stability factor and droplet sagging depth was developed to predict whether the droplets were in the Wenzel or Cassie–Baxter wetting state. It was found that droplets on the sparser micropillar-arrayed PDMS surfaces were in the Wenzel wetting state, indicating that a complete rebound cannot happen for droplets impinging on these surfaces. For the case of droplets impinging on sparse micropillar-arrayed PDMS surfaces, it was found that there existed a range of impact velocity for bouncing droplets on the micropatterned surfaces with a solid fraction of 0.022. To predict the upper limit of impact velocity for bouncing droplets, a theoretical model considering the immersion depth of liquid into the micropillar structure was established to make the prediction, and the lower limit of impact velocity for bouncing droplets can be obtained by balancing kinetic energy with energy barrier due to contact angle hysteresis. In addition, the droplet maximum spreading parameter was fitted and found to follow the scale law of We1/4.
实验研究了液滴和液滴撞击稀疏微柱阵列聚二甲基硅氧烷(PDMS)表面的润湿性。对于润湿在这些表面上的液滴,结合稳定因子和液滴下垂深度建立了接触线密度模型,以预测液滴是处于文泽尔润湿状态还是卡西-巴克斯特润湿状态。结果发现,在较稀疏的微柱阵列 PDMS 表面上的液滴处于文泽尔润湿状态,这表明撞击在这些表面上的液滴不可能发生完全回弹。对于液滴撞击稀疏微柱阵列 PDMS 表面的情况,研究发现,在固体分数为 0.022 的微图案表面上,液滴反弹的撞击速度存在一定范围。为了预测反弹液滴冲击速度的上限,建立了一个考虑液体浸入微柱结构深度的理论模型来进行预测,通过平衡动能和接触角滞后引起的能量障碍,可以得到反弹液滴冲击速度的下限。此外,对液滴最大扩散参数进行了拟合,发现其遵循 We1/4 的尺度规律。
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引用次数: 0
Prediction model for self-starting of hypersonic inlets with soft critical unstart mode 具有软临界非启动模式的高超音速进气口自启动预测模型
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0222577
Shu-Zi Yang, Wen-Zhong Xie, Cheng-Long Xu
The acceleration self-starting performance of hypersonic inlets is of critical importance for the stable operation of scramjet engines. The occurrence of soft unstart during the transition from hard unstart to start is an important flow state that has yet to be fully elucidated. The stability mechanism and corresponding self-starting characteristics of soft unstart remain poorly understood, and there is a pressing need for detailed modeling research in this area. This paper presents a rapid prediction model for the self-starting Mach number of two-dimensional hypersonic inlets with soft critical unstart mode, fully considering the influence of various geometric parameters and Reynolds number in the internal contraction section, and achieving a quantitative analysis of the two-dimensional soft unstart critical flow field. Given the incoming flow conditions and the inlet geometry, the prediction model is capable of accurately representing the actual viscous unstart flow field. It can fully map the unstart separation bubble and its surrounding critical wave structures, and calculate the minimum pressure rise required to maintain the current scale of the main separation bubble and the pressure rise exerted on the unstart separation bubble by the current actual flow field structure. Comparing the relative magnitude of these two pressures determines whether the inlet can transition from soft unstart to start. The proposed prediction model was validated using results from unsteady numerical simulations. The predicted results align well with the simulation results and are significantly better than previous prediction methods.
高超音速进气口的加速自启动性能对于涡喷发动机的稳定运行至关重要。在从硬非启动到启动的过渡过程中出现的软非启动是一种尚未完全阐明的重要流动状态。人们对软不起动的稳定机理和相应的自启动特性仍然知之甚少,因此迫切需要在这一领域开展详细的建模研究。本文提出了一种具有软临界非启动模式的二维高超声速进气道自启动马赫数快速预测模型,充分考虑了内收缩段各种几何参数和雷诺数的影响,实现了对二维软非启动临界流场的定量分析。在进气流场条件和入口几何条件允许的情况下,预测模型能够准确地反映实际的粘性非起动流场。它可以完整地映射出未起始分离气泡及其周围的临界波结构,并计算出维持当前主分离气泡规模所需的最小压力升高,以及当前实际流场结构对未起始分离气泡施加的压力升高。比较这两个压力的相对大小,就能确定入口是否能从软性未启动过渡到启动。利用非稳态数值模拟的结果对所提出的预测模型进行了验证。预测结果与模拟结果非常吻合,明显优于之前的预测方法。
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引用次数: 0
An improved smoothed particle hydrodynamics method for modeling multiphase flows 用于多相流建模的改进型平滑粒子流体力学方法
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0226148
Yongze Li, Ting Long
Multiphase flows are prevalent in both natural and engineered systems. The study of multiphase flow problems using numerical simulation is challenging due to the presence of high nonlinearities and moving interfaces. In this paper, an improved multiphase smoothed particle hydrodynamics (SPH) model is proposed for simulating multiphase flows. In the improved multiphase SPH model, an improved interface repulsive force model is proposed to reduce the interpenetration of particles at the multiphase interface and make the multiphase interface smooth and clear, and an improved kernel gradient correction is introduced to optimize the computational results. In addition, the particle shifting technology is applied to make the particle distribution uniform. Five numerical examples including the Rayleigh–Taylor instability, non-Boussinesq lock-exchange problem, square droplet deformation, single bubble rise, and circular droplet oscillation are investigated to verify the correctness and effectiveness of the improved multiphase SPH model. The results demonstrate that the improved multiphase SPH approach is effective in modeling multiphase flows.
多相流普遍存在于自然和工程系统中。由于存在高非线性和移动界面,利用数值模拟研究多相流问题具有挑战性。本文提出了一种用于模拟多相流的改进型多相平滑粒子流体力学(SPH)模型。在改进的多相 SPH 模型中,提出了改进的界面排斥力模型,以减少颗粒在多相界面上的相互渗透,使多相界面变得平滑清晰,并引入了改进的内核梯度修正,以优化计算结果。此外,还应用了颗粒移动技术使颗粒分布均匀。研究了五个数值实例,包括瑞利-泰勒不稳定性、非布辛斯克锁定交换问题、方形液滴变形、单气泡上升和圆形液滴振荡,以验证改进的多相 SPH 模型的正确性和有效性。结果表明,改进的多相 SPH 方法能有效地模拟多相流。
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引用次数: 0
Dynamics of an acoustically levitated fluid droplet captured by a low-order immersed boundary method 用低阶沉浸边界法捕捉声悬浮液滴的动力学特性
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0223790
Jacqueline B. Sustiel, David G. Grier
We present a variant of the immersed boundary (IB) method that implements acoustic perturbation theory to model acoustically levitated fluid droplets. Instead of resolving sound waves numerically, our hybrid method solves acoustic scattering semi-analytically to obtain the corresponding time-averaged acoustic forces on the droplet. This framework allows the droplet to be simulated on inertial timescales of interest, and therefore works with much larger time steps than traditional compressible flow solvers. To benchmark this technique and demonstrate its utility, we implement the hybrid IB method for a single droplet in a standing wave. Simulated droplet shape deformations and streaming profiles agree with available theoretical predictions. Our simulations also yield insights into the streaming profiles for elliptical droplets, for which a comprehensive analytic solution does not yet exist.
我们提出了一种沉浸边界(IB)方法的变体,它采用声学扰动理论来模拟声学悬浮液滴。我们的混合方法不是对声波进行数值解析,而是对声散射进行半解析求解,从而得到液滴上相应的时间平均声力。这种框架允许在感兴趣的惯性时间尺度上模拟液滴,因此与传统的可压缩流求解器相比,其工作时间步长要大得多。为了对这一技术进行基准测试并证明其实用性,我们对驻波中的单个液滴实施了混合 IB 方法。模拟的液滴形状变形和流动曲线与现有的理论预测一致。我们的模拟还深入分析了椭圆液滴的流场剖面,目前还没有全面的分析解决方案。
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引用次数: 0
Development of backward compatible physics-informed neural networks to reduce error accumulation based on a nested framework 基于嵌套框架开发向后兼容的物理信息神经网络,减少误差累积
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0223510
Lei Gao, Yaoran Chen, Guohui Hu, Dan Zhang, Xiangyu Zhang, Xiaowei Li
Physical information neural network (PINN) provides an effective method for solving partial differential equations, and many variants have been derived, the most representative of which is backward compatible physical information neural network (BC-PINN). The core of BC-PINN is to use the prediction of the previous time period as the label data of the current time period, which leads to error accumulation in the process of backward compatibility. To solve this problem, a nested backward compatible physical information neural network (NBC-PINN) is proposed in this paper. NBC-PINN has an overlap region between the computation domain of the previous time period and the computation domain of the current time period, which is trained twice in total. Numerical experiments on four representative time-varying partial differential equations show that NBC-PINN can effectively reduce error accumulation, improve computational efficiency and accuracy, and improve the L2 relative error of the numerical solution with fewer residual allocation points. The development of NBC-PINN provides a theoretical basis for the scientific calculation of partial differential equations, and promotes the progress of PINN to a certain extent.
物理信息神经网络(PINN)为偏微分方程的求解提供了一种有效的方法,并衍生出许多变体,其中最具代表性的是向后兼容物理信息神经网络(BC-PINN)。BC-PINN 的核心是将上一时间段的预测数据作为当前时间段的标注数据,这就导致了向后兼容过程中的误差积累。为解决这一问题,本文提出了嵌套后向兼容物理信息神经网络(NBC-PINN)。NBC-PINN 在上一时间段的计算域和当前时间段的计算域之间有一个重叠区域,总共训练两次。四个代表性时变偏微分方程的数值实验表明,NBC-PINN 能有效减少误差积累,提高计算效率和精度,并以较少的残差分配点提高数值解的 L2 相对误差。NBC-PINN 的发展为偏微分方程的科学计算提供了理论依据,在一定程度上推动了 PINN 的进步。
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引用次数: 0
Drag force on an accelerating flat plate at low Reynolds numbers 低雷诺数时加速平板上的阻力
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0223050
Wenjie Liu, Mao Sun
The accelerating flat plate is a useful model for studying the drag-based flapping flight (where drag is used to provide the weight-supporting force or thrust). Previous studies have mainly focused on the high Reynolds number (Re) regime pertaining to the flight of relatively large insects and birds. In this study, we numerically investigate the unsteady drag and flows of a uniformly accelerating flat plate at low Re that is typical of miniature insect flight (Re = 10–40). The following is shown. Unlike high-Re cases where the acceleration effect on drag is insensitive to Re, at low Re, the effect exhibits a strong dependence on Re: As Re decreases below 100, the acceleration effect increases rapidly, becoming 33%–56% greater than that of high-Re cases in the Re range of 10–40, before gradually decreasing. A simple model that consists of the quasi-steady, added-mass, and history force terms is proposed for drag at low Re. The scalings of the quasi-steady and added-mass force terms are well known; we find that the history force term scales approximately with the square root of the acceleration and velocity. The above result that relatively large drag is produced by the accelerating wing at Re = 10–40 is especially interesting and might explain why miniature insects fly in this Re range.
加速平板是研究基于阻力的拍击飞行(利用阻力提供重量支撑力或推力)的有用模型。以往的研究主要集中在与相对较大的昆虫和鸟类飞行有关的高雷诺数 (Re) 机制。在本研究中,我们用数值方法研究了在低雷诺数(Re = 10-40)条件下均匀加速平板的非稳定阻力和流动,这是微型昆虫飞行的典型特征。结果如下。与加速度对阻力的影响对 Re 值不敏感的高 Re 值情况不同,在低 Re 值情况下,加速度对阻力的影响对 Re 值有很强的依赖性:当 Re 值减小到 100 以下时,加速度效应迅速增加,在 Re 值为 10-40 的范围内,加速度效应比高 Re 值情况下的加速度效应大 33%-56%,然后逐渐减小。针对低 Re 条件下的阻力,提出了一个由准稳定力、附加质量和历史力项组成的简单模型。准稳力和附加质量力项的标度是众所周知的;我们发现历史力项的标度近似于加速度和速度的平方根。上述结果特别有趣,即在 Re = 10-40 时,加速翼产生的阻力相对较大,这或许可以解释为什么微型昆虫会在此 Re 范围内飞行。
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引用次数: 0
Thermal effect on the flow induced by a single-dielectric-barrier-discharge plasma actuator under steady actuation 单介质阻挡放电等离子体致动器在稳定致动下对流动的热效应
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0220507
Longxiang Zhao, Zuoli Xiao, Feng Liu
The thermal effect of a single-dielectric-barrier-discharge plasma actuator under steady actuation is numerically investigated. A new actuator model is proposed and validated using experimental data. A discrete Galerkin method based on high-order flux reconstruction schemes is employed to solve the flow governing equations and the actuator model equations on unstructured quadrilateral grids. By comparing the induced heated and cold flow fields of the actuator with and without a plasma thermal source, its thermal effect is revealed. The actuator generates a thermal wall jet with rich vorticity, forming a monopolar starting vortex with a high-temperature and low-density core. Over time, the starting vortex becomes unstable and transforms into a dipole. Actuator heating enhances jet velocity and width, as well as vortex stability, while slowing down vorticity generation. The relative change in density and temperature fields due to actuator heating is four orders of magnitude greater than that without actuator heating. Additionally, the actuator heating causes the background thermodynamic fields to increase approximately linearly with time. Two stages in the actuator's thermal effect are distinguished due to time accumulation. Initially, the actuator heating minimally affects the monopolar starting vortex motion, and the temperature and density fields are treated as passive variables driven by the velocity field. During this stage, the momentum and thermal effects of the actuator can be studied separately. However, after the starting vortex becomes unstable, the actuator heating significantly impacts its motion and morphology, and these two effects are coupled with each other.
对稳定致动器下的单介质阻挡放电等离子致动器的热效应进行了数值研究。提出了一种新的致动器模型,并利用实验数据进行了验证。采用基于高阶通量重构方案的离散 Galerkin 方法,在非结构化四边形网格上求解流动控制方程和致动器模型方程。通过比较有等离子体热源和无等离子体热源致动器的诱导热流场和冷流场,揭示了其热效应。致动器产生具有丰富涡度的热壁射流,形成具有高温和低密度核心的单极起始漩涡。随着时间的推移,起始漩涡变得不稳定,并转变为偶极。致动器加热可提高射流速度和宽度以及涡旋稳定性,同时减缓涡度的产生。致动器加热引起的密度场和温度场的相对变化要比没有致动器加热时大四个数量级。此外,致动器加热导致背景热力学场随时间近似线性增加。由于时间的积累,致动器的热效应分为两个阶段。最初,致动器加热对单极起始涡旋运动的影响很小,温度场和密度场被视为由速度场驱动的被动变量。在这一阶段,可以分别研究致动器的动量效应和热效应。然而,在起始涡旋变得不稳定之后,致动器加热会对其运动和形态产生重大影响,这两种效应会相互耦合。
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引用次数: 0
Turbulent pipe flow and heat transfer of a binary mixture at supercritical pressure: Influences of cross-diffusion effects 超临界压力下二元混合物的湍流管道流动和传热:交叉扩散效应的影响
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0221800
Yangjian Ren, Mingfei Xiao, Zhan-Chao Hu
Cross-diffusion effects, including Soret and Dufour effects, are enhanced around the pseudo-critical temperature (Tpc) of a binary mixture. Their influences on heat transfer at supercritical pressure have been scarcely studied. To bridge this gap, large-eddy simulations (LES) are conducted to investigate forced convective heat transfer of a CO2–ethane mixture at supercritical pressures in a circular pipe subject to a uniform heat flux. Both heating and cooling conditions, along with varying initial concentrations and thermodynamic pressures, are included in the simulations. The LES results reveal that the Soret effect causes concentration separation, resulting in a concentration boundary layer. The magnitudes of the thermodiffusion factor (kT) and the radial temperature gradient control the intensity of separation, which is more pronounced at near-critical pressure and high heat flux. Since kT is significant only around Tpc, downstream decay of the concentration separation is observed as the loci of T=Tpc migrate away from the wall so that the local radial temperature gradient diminishes. The primary factors affecting heat transfer are the variations in thermal conductivity and isobaric specific heat resulting from concentration separation. In contrast, the Dufour effect and the accompanying inter-diffusion play negligible roles. In deterioration scenarios, the bulk Nusselt number (Nub) shows a maximum relative drop of 8%, whereas in enhancement scenarios, Nub shows a maximum relative increase in 10%, with both deterioration and enhancement decaying downstream. Cross-diffusion effects have negligible impacts on density and streamwise velocity, but noticeably alter streamwise velocity fluctuation and turbulent kinetic energy.
交叉扩散效应,包括索雷特效应和杜富尔效应,在二元混合物的伪临界温度(Tpc)附近会增强。目前还很少研究它们对超临界压力下传热的影响。为了弥补这一差距,我们进行了大涡流模拟(LES),研究了在超临界压力下,圆形管道中的二氧化碳-乙烷混合物在均匀热通量作用下的强制对流传热。模拟中包括加热和冷却条件,以及不同的初始浓度和热力学压力。LES 结果表明,索雷特效应会导致浓度分离,形成浓度边界层。热扩散因子(kT)和径向温度梯度的大小控制着分离的强度,在接近临界压力和高热通量时分离更为明显。由于 kT 仅在 Tpc 附近显著,当 T=Tpc 的位置远离壁面时,会观察到浓度分离的下游衰减,从而使局部径向温度梯度减小。影响传热的主要因素是浓度分离导致的热导率和等压比热的变化。相比之下,杜富尔效应和伴随的相互扩散作用可以忽略不计。在劣化情况下,体积努塞尔特数(Nub)的最大相对降幅为 8%,而在增强情况下,Nub 的最大相对升幅为 10%,劣化和增强都在下游衰减。交叉扩散效应对密度和流向速度的影响可以忽略不计,但会明显改变流向速度波动和湍流动能。
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引用次数: 0
Mechanisms of fluid–structure interaction in an underwater muzzle brake 水下枪口制动器中流体与结构的相互作用机理
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0227525
Zhiqun Sun, Qiang Li, Pu Qu
A fluid–structure interaction (FSI) mechanism of a shock-type underwater muzzle brake is examined. A bidirectional coupling interior ballistic approach is employed to achieve accurate projectile velocity. A velocity–pressure separation solution algorithm, semi-implicit method for pressure-linked equations and the Schnerr–Sauer cavitation model are used to address the volume of fluid multiphase Navier–Stokes equations with compressible cavitation. The full ballistic muzzle flow field distribution is comprehensively modeled. Analyzing the force and flow parameters of the T-shaped underwater muzzle brake based on the numerical solution reveals detailed insights. The underwater muzzle brake provides significant braking force in the interior ballistic period due to the presence of the water medium, which is quite different from air launch. Moreover, while both the internal and intermediate ballistic periods utilize the kinetic energy of the fluid against the wall, the muzzle brake principle in the interior ballistic period is a positive kinetic impact of water, mainly dependent on the flow velocity inside the barrel, and provides 17% recoil impulse. The side holes are significantly affected by cavitation phenomena. In contrast, during the intermediate ballistic period, the kinetic impact of gas, primarily dependent on the high-pressure gas expansion, decreases exponentially with time and provides 36% recoil impulse.
研究了冲击型水下枪口制动器的流固耦合(FSI)机制。采用双向耦合内部弹道方法来实现精确的弹丸速度。采用速度-压力分离求解算法、压力关联方程的半隐式方法和 Schnerr-Sauer 汽蚀模型来解决具有可压缩汽蚀的流体体积多相 Navier-Stokes 方程。对全弹道枪口流场分布进行了全面建模。在数值解的基础上分析了 T 型水下枪口制动器的力和流动参数,获得了详细的见解。由于水介质的存在,水下枪口制动器在内部弹道期间提供了显著的制动力,这与空气发射截然不同。此外,内弹道期和中间弹道期都是利用流体对弹道壁的动能,而内弹道期的枪口制动原理是水的正动能冲击,主要取决于枪管内的流速,可提供 17% 的后坐冲力。侧孔受空化现象的影响很大。相反,在中间弹道期间,气体的动能冲击主要取决于高压气体膨胀,随时间呈指数下降,提供 36% 的后坐力冲力。
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引用次数: 0
On particle dispersion statistics using unsupervised learning and Gaussian mixture models 利用无监督学习和高斯混合物模型研究粒子弥散统计
IF 4.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-10 DOI: 10.1063/5.0229111
Nicholas Christakis, Dimitris Drikakis
Understanding the dispersion of particles in enclosed spaces is crucial for controlling the spread of infectious diseases. This study introduces an innovative approach that combines an unsupervised learning algorithm with a Gaussian mixture model to analyze the behavior of saliva droplets emitted from a coughing individual. The algorithm effectively clusters data, while the Gaussian mixture model captures the distribution of these clusters, revealing underlying sub-populations and variations in particle dispersion. Using computational fluid dynamics simulation data, this integrated method offers a robust, data-driven perspective on particle dynamics, unveiling intricate patterns and probabilistic distributions previously unattainable. The combined approach significantly enhances the accuracy and interpretability of predictions, providing valuable insights for public health strategies to prevent virus transmission in indoor environments. The practical implications of this study are profound, as it demonstrates the potential of advanced unsupervised learning techniques in addressing complex biomedical and engineering challenges and underscores the importance of coupling sophisticated algorithms with statistical models for comprehensive data analysis. The potential impact of these findings on public health strategies is significant, highlighting the relevance of this research to real-world applications.
了解颗粒在封闭空间中的扩散情况对于控制传染病的传播至关重要。本研究引入了一种创新方法,将无监督学习算法与高斯混合物模型相结合,分析咳嗽者唾液飞沫的行为。该算法能有效地对数据进行聚类,而高斯混合物模型则能捕捉这些聚类的分布,从而揭示潜在的亚群和颗粒分散的变化。利用计算流体动力学模拟数据,这种综合方法为粒子动力学提供了一个强大的、数据驱动的视角,揭示了以前无法实现的复杂模式和概率分布。这种综合方法大大提高了预测的准确性和可解释性,为防止病毒在室内环境传播的公共卫生策略提供了宝贵的见解。这项研究具有深远的现实意义,因为它展示了先进的无监督学习技术在应对复杂的生物医学和工程挑战方面的潜力,并强调了将复杂算法与统计模型结合起来进行综合数据分析的重要性。这些发现对公共卫生战略的潜在影响是巨大的,凸显了这项研究与现实世界应用的相关性。
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引用次数: 0
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Physics of Fluids
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