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Experimental and theoretical study of stationary nonlinear three-dimensional wave regimes on a straight rivulet flowing down an inclined plane 斜面直流河上静止非线性三维波态的实验和理论研究
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-06 DOI: 10.1016/j.ijmultiphaseflow.2024.104990
Vladimir Guzanov, Sergey Aktershev, Aleksey Bobylev, Alexandr Kvon, Andrey Cherdantsev

Wavy flow of straight rivulets down an inclined plate was studied experimentally and theoretically. Instantaneous three-dimensional shape of a rivulet was obtained experimentally using Brightness-Based Laser-Induced Fluorescence technique. The results were compared to the predictions by quasi-two-dimensional theoretical model. The model reproduces well the transition of wave pattern from soliton-like to sinusoid-like waves with increasing wave frequency, as well as the main wave characteristics such as shape, amplitude and velocity. The agreement gets worse for overall Reynolds number of 252, where the local thickness-based Reynolds number is large enough for turbulence to start. The discrepancy also grows with the rivulet width, since the region where turbulence develops is getting larger. In such conditions, the experimentally observed waves may acquire additional small-wave perturbations of their rear slopes and deep troughs across the slopes. Such perturbations are substantially three-dimensional and their prediction requires more complex theoretical models.

通过实验和理论研究了直流河水在倾斜板上的波浪式流动。利用基于亮度的激光诱导荧光技术,通过实验获得了小河的瞬时三维形状。实验结果与准二维理论模型的预测结果进行了比较。该模型很好地再现了随着波频的增加,波形从孤子波向正弦波的过渡,以及波形、振幅和速度等主要波形特征。当总雷诺数为 252 时,两者的一致性变差,此时基于局部厚度的雷诺数足够大,足以引发湍流。由于发生湍流的区域越来越大,因此差异也随着河川宽度的增加而增大。在这种情况下,实验观测到的波浪可能会在其后斜面上获得额外的小波扰动,并在斜面上出现深谷。这种扰动实质上是三维的,对其预测需要更复杂的理论模型。
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引用次数: 0
Jet injection and spout formation in a fluidized bed 流化床中的喷射和喷口形成
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-06 DOI: 10.1016/j.ijmultiphaseflow.2024.104994
Hamidreza Khakpour, Navid Mostoufi, Rahmat Sotudeh-Gharebagh, Reza Zarghami

A single jet was studied in a rectangular fluidized bed by analyzing the pressure fluctuations data to characterize the jet hydrodynamics. The bed contained with glass beads of different mean sizes (450, 650, and 920 µm) as well as pharmaceutical pellets (920 µm). The analysis of the pressure fluctuation data was performed using the power spectral density function (PSDF) and discrete wavelet transforms technique. This study investigated how the flow regime changed from a jet in a fluidized bed to a spouted regime as the gas injection velocity was increased. Increasing the mean particle size led to an increase in the minimum spouting velocity. The minimum spouting velocity for 450, 650, and 920 μm glass bead particles and for 920 μm pharmaceutical pellets were determined to be 32.47 m s-1, 38.66 m s-1, 44.78 m s-1, and 44.47 m s-1, respectively. The study also examined how the dominant frequency of the various particles and the energy percentage of scales changed with increasing injection velocities. The ratio of energy percentages of meso-scale changes as the injection velocity increases and these changes were used to estimate the minimum spouting velocity. Wavelet sub-signals analysis revealed that the Daubechies 2 (DB2) wavelet was the most effective at capturing the characteristics of the jet. Based on the Shannon entropy of the approximate coefficients, the wavelet analysis showed that 11 levels of decomposition were required. By combining the wavelet analysis and PSDF, a more detailed analysis of the meso-scale was achieved. This study provided valuable insights into the behavior of jets and spouts in fluidized beds, which can greatly contribute to the optimization of a jet in fluidized beds and spout-fluidized beds by enhancing our understanding of jet behavior in such environments.

通过分析压力波动数据,对矩形流化床中的单一射流进行了研究,以确定射流流体力学的特征。床中装有不同平均尺寸(450、650 和 920 微米)的玻璃珠以及药物颗粒(920 微米)。使用功率谱密度函数 (PSDF) 和离散小波变换技术对压力波动数据进行了分析。这项研究探讨了随着气体注入速度的增加,流化床中的流动状态如何从喷射状态转变为喷出状态。平均粒径的增加导致最小喷出速度的增加。经测定,450、650 和 920 μm 玻璃珠颗粒以及 920 μm 药丸的最小喷出速度分别为 32.47 m s-1、38.66 m s-1、44.78 m s-1 和 44.47 m s-1。研究还考察了各种颗粒的主频和鳞片的能量百分比如何随注射速度的增加而变化。随着注入速度的增加,中尺度的能量百分比比也发生了变化,这些变化被用来估算最小喷出速度。小波子信号分析表明,Daubechies 2(DB2)小波能最有效地捕捉射流特征。根据近似系数的香农熵,小波分析表明需要进行 11 级分解。通过结合小波分析和 PSDF,可以对中尺度进行更详细的分析。这项研究为流化床中的射流和喷嘴行为提供了宝贵的见解,通过加强我们对流化床和喷嘴流化床中射流行为的理解,可极大地促进流化床和喷嘴流化床中射流的优化。
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引用次数: 0
Multiscale simulation of spray and mixture formation for a coaxial atomizer 同轴雾化器喷雾和混合物形成的多尺度模拟
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-03 DOI: 10.1016/j.ijmultiphaseflow.2024.104971
Fabian Fröde , Olivier Desjardins , Malte Bieber , Manuel Reddemann , Reinhold Kneer , Heinz Pitsch
Coaxial atomization is an established atomization strategy for many stationary combustion systems. While modeling spray formation in coaxial atomization is challenging due to the existence of a wide range of length and time scales, typical models introduce a substantial uncertainty for Euler–Lagrange simulations of the actual application, e.g., a spray flame. To reduce uncertainties, a recently proposed multiscale approach is adopted for simulations of realistic applications in this work. The multiscale approach uses three one-way coupled simulation domains that cover the internal nozzle flow, the interfacial flow of the near-field, and the dispersed flow of the far-field. The capabilities of the approach are explored by applying it to a standardized non-reacting experiment from the flame spray pyrolysis research community. In order to assess the relevance for application simulations, results are discussed in the context of mixture formation. The results are compared against shadowgraphy images of the near-field and measured droplet statistics in the far-field. It is found that the multiscale approach is capable of providing similarly accurate droplet statistics as experiments or models derived from them. In addition, it is found that the breakup dynamics in the near-field introduce substantial mixture fraction fluctuations. These fluctuations are only included because of the deterministic coupling of the multiscale approach and are typically neglected in conventional approaches.
同轴雾化是许多固定燃烧系统的既定雾化策略。由于存在广泛的长度和时间尺度,同轴雾化中喷雾形成的建模具有挑战性,典型模型为实际应用(如喷雾火焰)的欧拉-拉格朗日模拟带来了很大的不确定性。为了减少不确定性,本研究采用了最近提出的多尺度方法来模拟实际应用。多尺度方法使用三个单向耦合模拟域,分别涵盖喷嘴内部流动、近场界面流动和远场分散流动。通过将该方法应用于火焰喷雾热解研究领域的标准化非反应实验,探索了该方法的能力。为了评估应用模拟的相关性,将在混合物形成的背景下对结果进行讨论。研究结果与近场阴影图和远场测量液滴统计进行了比较。结果发现,多尺度方法能够提供与实验或由此推导出的模型类似的精确液滴统计数据。此外,研究还发现,近场的破裂动力学引入了大量的混合物分数波动。由于多尺度方法的确定性耦合,这些波动才被包括在内,而传统方法通常会忽略这些波动。
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引用次数: 0
Pressure and wall shear stress from high-speed droplet impact 高速液滴撞击产生的压力和壁面剪应力
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-02 DOI: 10.1016/j.ijmultiphaseflow.2024.104981
Silvestre Roberto Gonzalez-Avila , Qingyun Zeng , Claus-Dieter Ohl

We report on experimental and numerical results of the impact of millimeter sized droplet with high-speed projectile. The impact velocity Vimp ranges between 70 m/s and 245 m/s and is sufficiently high that the compressibility of the liquid becomes important. High-speed images reveal non-axisymmetric lamella spreading, hydrodynamic and secondary cavitation and the ejection of a thin jet from the distal side of the droplet. The spreading velocity is supersonic for the impact velocities tested. Secondary cavitation at the distal side of the droplet is found for Vimp 120 m/s. The experiments are compared and analyzed further with a CFD model based on a compressible volume of fluid (VoF) method. Excellent agreement of the early droplet and lamella dynamics is obtained with the experimental data. Additionally, we provide quantitative data for the pressure loading and the shear stress on the projectile using spatio-temporal maps.

我们报告了毫米级液滴与高速弹丸撞击的实验和数值结果。撞击速度 Vimp 介于 70 m/s 和 245 m/s 之间,由于撞击速度足够高,液体的可压缩性变得非常重要。高速图像显示了非轴对称的薄片扩散、流体动力和二次空化以及从液滴远端喷射出的稀薄射流。在测试的冲击速度下,扩散速度为超音速。在 Vimp≳ 120 m/s 时,液滴远端出现二次空化。实验结果与基于可压缩流体体积 (VoF) 方法的 CFD 模型进行了比较和进一步分析。早期液滴和薄片动力学与实验数据非常吻合。此外,我们还利用时空图提供了弹丸上压力负荷和剪应力的定量数据。
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引用次数: 0
Heat flux partition based on onset of significant void 基于显著空隙开始的热通量分区
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-08-31 DOI: 10.1016/j.ijmultiphaseflow.2024.104972
Corentin Reiss , Antoine Gerschenfeld , Catherine Colin

The thermal log-law Θ+(y+)=β+2.12log(y+) is valid in flow boiling with a value of β that evolves as the flow develops. Using a multiphase flow cross-literature database, this constant is shown to be βOSV=7 at the point of onset of significant void (OSV). This means that at the OSV the liquid is at saturation temperature up to y+30. The OSV predictions using this model have a similar mean average error as the Saha and Zuber 1974 correlation for one less fitted constant for channel, pipe and annular flows for pressure from 1 to 147 bar and Peclet numbers from 3.5103 to 4105. This model is used to build a heat flux partitioning (HFP) inspired from system-scale codes (Lahey 1978). It predicts the distribution of the heat flux between the liquid phase and the evaporation term when the total heat flux is known. It does not give information on the total heat flux as a function of wall temperature and cannot be used to draw a boiling curve. In imposed flux conditions, this partition provides more coherent flux distribution between the evaporation and liquid terms than Kurul and Podowski (1990) based approaches and improves void fraction predictions in high-subcooling regions on the DEBORA database (Garnier et al. 2001) and on experiments by Bartolomei and Chanturiya (1967) and Bartolomei et al. (1982). When the wall temperature is imposed, it must be coupled with an empirical boiling total heat flux correlation to replace a traditional HFP. The prediction of the total heat flux is then as good as that of the correlation.

热对数定律 Θ+(y+)=β+2.12log(y+)在流动沸腾中有效,β 值随着流动的发展而变化。通过使用多相流交叉文献数据库,可以看出在显著空隙(OSV)开始处,该常数为 βOSV=-7。这意味着在 OSV 点,液体的饱和温度可达 y+≃30。对于压力为 1 至 147 巴、佩克莱特数为 3.5⋅103 至 4⋅105 的通道流、管道流和环形流,使用该模型预测的 OSV 平均误差与 Saha 和 Zuber 1974 年的相关性相似,但少了一个拟合常数。该模型用于建立热通量分区(HFP),其灵感来自系统尺度代码(Lahey,1978 年)。当总热流已知时,它预测了液相和蒸发项之间的热流分布。它不提供总热流量与壁温函数关系的信息,因此不能用于绘制沸腾曲线。与基于 Kurul 和 Podowski(1990 年)的方法相比,在外加通量条件下,该分区提供了蒸发项和液相项之间更一致的通量分布,并改进了 DEBORA 数据库(Garnier 等人,2001 年)和 Bartolomei 和 Chanturiya(1967 年)及 Bartolomei 等人(1982 年)实验中高过冷区域的空隙率预测。当施加壁面温度时,必须与经验沸腾总热流量相关联,以取代传统的 HFP。这样,对总热流量的预测效果与相关性预测效果一样好。
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引用次数: 0
Do emptying bottles show self-induced liquid rotation? 倒空的瓶子是否会出现液体自转现象?
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-08-30 DOI: 10.1016/j.ijmultiphaseflow.2024.104976
Malyadeep Bhattacharya , Rajaram Lakkaraju

An inverted liquid bottle with a small neck diameter empties through periodic admission of air bubbles at the neck, followed by liquid discharge, a process termed ‘glugging’. In contrast, a large Taylor bubble rises to the air–water interface in the bottle for large neck diameters, followed by an instant interface collapse and a chaotic liquid discharge. We numerically find that a spiral large-scale rotating structure due to churning motion develops in the liquid during time evolution in an emptying bottle, though an initial swirl is not imposed. The induced structure is strong for a large neck bottle, and the circulation strength is maximum near the neck region. The spiral structure’s strength decreases for small neck diameters, and a pure oscillatory ‘glugging’ mode is preserved. The high circulation strength near the neck region for the large neck bottle causes liquid to accelerate and is the reason for the existing empirical models on liquid discharge to deviate from experimental observations.

瓶颈直径较小的倒置液体瓶通过在瓶颈处周期性地吸入气泡来排空,随后液体排出,这一过程被称为 "咕噜咕噜"。相反,瓶颈直径大的倒置液瓶中,一个大的泰勒气泡上升到空气-水界面,随后界面瞬间坍塌,液体无序排出。我们通过数值计算发现,尽管没有施加初始漩涡,但在排空瓶中,液体在时间演化过程中会因搅动运动而形成螺旋状大尺度旋转结构。大颈瓶内的诱导结构很强,瓶颈附近的循环强度最大。当瓶颈直径较小时,螺旋结构的强度会降低,并保留了纯粹的振荡 "咕噜 "模式。大颈瓶颈部附近的高循环强度会导致液体加速,这也是现有液体排放经验模型偏离实验观察结果的原因。
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引用次数: 0
Drop breakup in bag regime under the impulsive condition 脉冲条件下袋式系统中的水滴破裂
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-08-28 DOI: 10.1016/j.ijmultiphaseflow.2024.104977
Sidyant Kumar , Sudama , Sachchida Nand Tripathi , Sanjay Kumar

This study experimentally investigates the spatiotemporal evolution and associated local instabilities of a drop subjected to a weak shock wave. The front and side views of the drop are captured to understand its three-dimensional evolution and breakup. The interaction of shock causes the windward side of the drop to compress and generate a surface wave over it. Its temporal amplification is found to be governed by Kelvin–Helmholtz instability. The core of the deformed drop expands in a stream-wise direction, forming a Rayleigh–Taylor instability-driven bag structure. Consistent pressure gradients across the bag cause its continuous elongation until the pressure gradient overcomes the surface tension. This continuous elongation leads the sheet to undergo kinematic thinning, which causes the sheet to destabilize and nucleate the hole. This hole recedes and gathers liquid from upstream to thicken its interface, called the bag rim. The accelerating receding motion of the bag rim triggers Rayleigh–Taylor instability, and the corrugation that forms over it grows into ligaments and destabilizes to shed droplets through end pinching and ligament merging. Additionally, the accelerating rim undergoes radial expansion, with its further destabilization governed by the coupled effect of Rayleigh–Taylor and Rayleigh–Plateau instabilities, as well as the collision of the receding bag rim. This leads to the formation of corrugations, which grow into ligaments and further destabilize to shed drops via end pinching. Nonlinear effects dominate ligament dynamics and increase with the Weber number. The asymmetric ejection of the daughter drop from the rim causes it to evolve into a bag, undergoing tertiary breakup.

本研究通过实验研究了受到弱冲击波作用的液滴的时空演变和相关的局部不稳定性。通过捕捉液滴的正视图和侧视图来了解其三维演变和破裂情况。冲击波的相互作用导致液滴迎风面压缩并在其上方产生表面波。波的时间放大受开尔文-赫尔姆霍兹不稳定性的支配。变形液滴的核心向流线方向膨胀,形成雷利-泰勒不稳定性驱动的袋状结构。袋上持续的压力梯度导致其不断伸长,直到压力梯度克服表面张力。这种持续的拉伸导致薄片发生运动变薄,从而使薄片失去稳定并形成孔洞。洞口后退并从上游聚集液体,使其界面(称为袋缘)变厚。袋缘的加速后退运动引发了瑞利-泰勒不稳定性,在其上形成的波纹长成韧带,并通过末端挤压和韧带合并破坏稳定,使液滴脱落。此外,加速的边缘会发生径向扩张,在瑞利-泰勒不稳定性和瑞利-平原不稳定性的耦合效应以及后退袋边缘的碰撞作用下,边缘会进一步失稳。这导致波纹的形成,波纹发展成韧带,并通过末端挤压进一步破坏稳定,使液滴脱落。非线性效应主导着韧带动力学,并随着韦伯数的增加而增加。子滴不对称地从边缘喷出,使其演变成袋,并经历三次破裂。
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引用次数: 0
On the analysis of static thermal instabilities occurring in two-phase flow systems 关于两相流系统中出现的静态热不稳定性的分析
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-08-28 DOI: 10.1016/j.ijmultiphaseflow.2024.104975
C. Taber Wanstall , Gabriel Ferraiuolo , Abdeel Román

In this study, we investigate a novel type of static thermal instability that occurs in two-phase flow systems. The instability is theoretically and experimentally confirmed to occur for flow boiling micro-channel scenarios and flow condensing scenarios. The theory presented is independent of the evaporator geometry as well as flow boiling/condensing situations. A stability criteria is derived using a Reynolds Transport approach applied to the evaporator of a two-phase pumped loop (TPPL) system. The theory is then validated experimentally using a TPPL containing a parallel micro-channel evaporator. The instability is confirmed with pressure, temperature, and void fraction measurements acquired at the exit of the evaporator. The findings reveal that static thermal instabilities can arise when simultaneous heat addition and reduction in system saturation temperature occurs (or vice versa). The implications of the thermal instability result in dramatic changes in evaporator heat flux, as well as a flow transition from stratified laminar flow to vigorous turbulent flow with high void fractions. By identifying the additional instability mechanisms, this work contributes to enhancing system reliability and predictability of TPPL systems.

在本研究中,我们研究了发生在两相流动系统中的一种新型静态热不稳定性。经理论和实验证实,这种不稳定性发生在流动沸腾微通道情景和流动冷凝情景中。所提出的理论与蒸发器的几何形状以及流动沸腾/冷凝情况无关。采用雷诺输运法推导出了适用于两相泵送回路(TPPL)系统蒸发器的稳定性标准。然后,使用包含平行微通道蒸发器的 TPPL 对该理论进行了实验验证。在蒸发器出口处采集的压力、温度和空隙率测量值证实了不稳定性。研究结果表明,在同时增加热量和降低系统饱和温度的情况下(反之亦然),会出现静态热不稳定性。热不稳定性的影响导致蒸发器热通量的急剧变化,以及从分层层流到高空隙率的剧烈湍流的流动转变。通过识别额外的不稳定机制,这项工作有助于提高 TPPL 系统的可靠性和可预测性。
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引用次数: 0
Generative diffusion models for synthetic trajectories of heavy and light particles in turbulence 湍流中轻重粒子合成轨迹的生成扩散模型
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-08-28 DOI: 10.1016/j.ijmultiphaseflow.2024.104980
Tianyi Li , Samuele Tommasi , Michele Buzzicotti , Fabio Bonaccorso , Luca Biferale

Heavy and light particles are commonly found in many natural phenomena and industrial processes, such as suspensions of bubbles, dust, and droplets in incompressible turbulent flows. Based on a recent machine learning approach using a diffusion model that successfully generated single tracer trajectories in three-dimensional turbulence and passed most statistical benchmarks across time scales, we extend this model to include heavy and light particles. Given the particle type – tracer, light, or heavy – the model can generate synthetic, realistic trajectories with correct fat-tail distributions for acceleration, anomalous power laws, and scale dependent local slope properties. This work paves the way for future exploration of the use of diffusion models to produce high-quality synthetic datasets for different flow configurations, potentially allowing interpolation between different setups and adaptation to new conditions.

轻重粒子常见于许多自然现象和工业过程中,例如不可压缩湍流中的气泡、灰尘和液滴悬浮物。最近,一种机器学习方法使用扩散模型成功生成了三维湍流中的单个示踪剂轨迹,并通过了跨时间尺度的大多数统计基准测试,在此基础上,我们将该模型扩展到重粒子和轻粒子。给定粒子类型--示踪剂、轻粒子或重粒子--该模型就能生成具有正确加速度胖尾分布、反常幂律和与尺度相关的局部斜率特性的合成真实轨迹。这项工作为今后探索利用扩散模型生成不同流动配置的高质量合成数据集铺平了道路,从而有可能在不同设置之间进行插值,并适应新的条件。
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引用次数: 0
Uncertainties in measurements of bubbly flows using phase-detection probes 使用相位检测探头测量气泡流的不确定性
IF 3.6 2区 工程技术 Q1 MECHANICS Pub Date : 2024-08-27 DOI: 10.1016/j.ijmultiphaseflow.2024.104978
Matthias Bürgler , Daniel Valero , Benjamin Hohermuth , Robert M. Boes , David F. Vetsch

The analysis of bubbly two-phase flows is challenging due to their turbulent nature and the need for intrusive phase-detection probes. However, accurately characterizing these flows is crucial for safely designing critical infrastructure such as dams and their appurtenant structures. The combination of dual-tip intrusive phase-detection probes with advanced signal processing algorithms enables the assessment of pseudo-instantaneous 1-D velocity time series; for which the limitations are not fully fathomed. In this investigation, we theoretically define four major sources of error, which we quantify using synthetically generated turbulent time series, coupled with the simulated response of a phase-detection probe. Based on the analysis of 1010 simulated bubble trajectories, our findings show that typical high-velocity flows in hydraulic structures hold up to 15% error in the mean velocity estimations and up to 35% error in the turbulence intensity estimations for the most critical conditions, typically occurring in the proximity of the wall. Based on thousands of simulations, our study provides a novel data-driven tool for the estimation of these baseline errors (bias and uncertainties) in real-word phase-detection probe measurements of bubbly flows (air concentrations c<40%).

由于气泡两相流具有湍流特性,且需要侵入式相位检测探头,因此分析气泡两相流具有挑战性。然而,准确描述这些流动的特征对于安全设计大坝及其附属结构等关键基础设施至关重要。双尖端侵入式相位检测探头与先进的信号处理算法相结合,可以评估伪瞬时一维速度时间序列,但其局限性尚不完全清楚。在这项研究中,我们从理论上定义了四个主要误差源,并利用合成生成的湍流时间序列和相位探测探头的模拟响应对其进行量化。基于对 1010 个模拟气泡轨迹的分析,我们的研究结果表明,在水力结构中的典型高速流动中,平均速度估算误差高达 15%,而在最关键的条件下(通常发生在靠近壁面的位置),湍流强度估算误差高达 35%。基于数千次模拟,我们的研究提供了一种新颖的数据驱动工具,用于估算气泡流(空气浓度为 40%)实测相位检测探头测量中的基线误差(偏差和不确定性)。
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引用次数: 0
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International Journal of Multiphase Flow
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