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Volume 5: Multiphase Flow最新文献

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On Scouring Efficiency of Flush Waves in Sewers: A Numerical and Experimental Study 下水道冲浪冲刷效率的数值与实验研究
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4615
M. Alihosseini, P. Thamsen
In sewer sediment management, the removal of depositions using hydraulic flushing gates has recently gotten great attention. Despite numerous investigations, the complex process of sediment transport under flushing waves is not yet well understood. The present work aims to calibrate and validate a coupled computational fluid dynamics and discrete element method (CFD-DEM) to study the fluid-sediment interaction in sewers. The CFD part of the simulation was carried out in the software Ansys Fluent which is two-way coupled to the DEM software EDEM. The multiphase model volume of fluid (VOF) was used to simulate the flushing wave, while the sediments were handled as DEM particles using the discrete phase model (DPM). To validate the 3D model, experimental work has been performed in a circular laboratory pipe with sand and gravel of different size distributions. A construction of a sluice gate was installed to realize the flushing event, which is similar to a dam-break wave. The evolution of the sediment bed and the scouring efficiency of the waves were examined under different flushing conditions. The results showed that the CFD-DEM method could be used to investigate the performance of flushing devices and various features of sediment transport which are not easy to obtain in the laboratory or field.
在下水道沉积物管理中,利用水力冲洗闸门清除沉积物近年来受到广泛关注。尽管进行了大量的研究,但对冲刷波作用下沉积物输运的复杂过程仍不甚了解。本工作旨在校准和验证一种耦合计算流体动力学和离散元方法(CFD-DEM)来研究下水道中流体-沉积物的相互作用。仿真的CFD部分在Ansys Fluent软件中进行,该软件与DEM软件EDEM双向耦合。采用流体多相模型体积(VOF)模拟冲刷波,采用离散相模型(DPM)将沉积物作为DEM颗粒处理。为了验证三维模型,在一个圆形实验室管道中进行了不同尺寸分布的砂砾的实验工作。为了实现类似溃坝波的冲刷事件,安装了水闸结构。考察了不同冲刷条件下泥沙层的演变和波浪的冲刷效率。结果表明,CFD-DEM方法可用于研究冲刷装置的性能和泥沙输运的各种特征,这些特征在实验室或现场不易获得。
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引用次数: 1
Two Types of Nonlinear Pressure Waves in Bubbly Liquids Incorporating Viscosity and Thermal Conductivity 含黏性和导热性的气泡液体中两类非线性压力波
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4663
T. Kamei, T. Kanagawa
The present study theoretically elucidates an effect of the viscosity and the thermal conductivity on the propagation process of finite amplitude disturbance in bubbly liquids by deriving two types of weakly nonlinear wave equations. Appropriate choices of a set of scaling relations of physical parameters characterizing waves, that is, the wavelength, incident wave frequency, propagation speed, yield the derivation systematically. From the combination of appropriate scaling relations and the method of multiple scales, we can derive the Korteweg–de Vries–Burgers equation for the low frequency long wave and the nonlinear Schrödinger equation for slowly varying envelope wave of the quasi-monochromatic short carrier wave. As a result, the incorporation of conservation equation of energy affects nonlinear, dispersion, and dissipation terms for both long and short waves. Especially, the viscosity and the thermal conductivity lead to change considerably the form of coefficient of dissipation term.
本文通过推导两类弱非线性波动方程,从理论上阐明了粘度和导热系数对气泡液体中有限振幅扰动传播过程的影响。适当选择表征波的一组物理参数的标度关系,即波长、入射波频率、传播速度,可以得到系统的推导。结合适当的标度关系和多标度方法,可以导出低频长波的Korteweg-de Vries-Burgers方程和准单色短波慢变包络波的非线性Schrödinger方程。因此,能量守恒方程的引入对长波和短波的非线性、色散和耗散项都有影响。特别是粘度和热导率导致耗散项系数的形式发生较大变化。
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引用次数: 0
Experimental Investigation on Flow and Breakup of Two-Dimensional Liquid Jets 二维液体射流的流动与破裂实验研究
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4642
A. Jaberi, M. Tadjfar
Studying of injectors with non-circular geometries has recently come to the spotlight of researchers as a potential technique to improve the liquid injection characteristics of different systems. In this work, the flow physics and breakup of two-dimensional liquid jets issued from flat slits into still air were experimentally investigated. Three injectors with aspect ratios of 30, 60 and 90 and thickness of 0.35 mm were manufactured to obtain two-dimensional liquid flow at the nozzle exit. The tests were performed for a wide range of volume flow rate, varying from 10 L/h to 240 L/h. Backlight shadowgraphy and high speed photography were employed to capture the flow dynamics of the jets. In order to capture every detail of the flow, photos of the liquid jet were taken from two views with 90° from each other. Using the visualizations, different regimes of the jet flow were explored and a regime map was proposed to distinguish these regimes based on the non-dimensional parameters of the liquid jet. Moreover, quantitative description of the main features of jet flows were obtained using an in-house image processing program. Measurements of different parameters including convergence length, maximum width, breakup length, sheet thickness to name a few, were conducted.
近年来,研究非圆几何形状的喷射器作为一种改善不同系统液体喷射特性的潜在技术受到了研究人员的关注。本文研究了二维液体射流从平面狭缝进入静止空气的流动物理特性和破裂过程。制作了三个喷射器,长径比分别为30、60和90,厚度为0.35 mm,以获得喷嘴出口的二维液体流动。测试的体积流量范围很广,从10 L/h到240 L/h。背光阴影摄影和高速摄影被用来捕捉射流的流动动力学。为了捕捉流动的每一个细节,液体射流的照片从两个角度拍摄,彼此90°。利用可视化技术,研究了射流的不同流态,并提出了基于液体射流无量纲参数的流态图来区分这些流态。此外,利用内部图像处理程序对射流的主要特征进行了定量描述。对收敛长度、最大宽度、破碎长度、薄板厚度等参数进行了测量。
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引用次数: 2
Tracker: An Opensource Particle Tracking Velocimetry (PTV) Application Applied to Multiphase Flow Reactors 跟踪器:一个开源的粒子跟踪测速(PTV)应用程序,应用于多相流反应器
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-5181
J. Weber, M. Bobek, S. Rowan, Jing-Shyang Yang, R. Breault
The US Department of Energy’s National Energy Technology Laboratory is pursuing the development of advanced energy conversion technologies, many of which use gas-solid reactors such as fluidized beds and risers. To understand these units and provide high fidelity particle velocities for model development and validation efforts, particle tracking velocimetry (PTV) is typically used and remains one of only a few ways to extract particle velocities from dense multiphase flow experiments. Combined with the rapidly improving cameras (higher frame rates, higher resolutions, and lower cost) and access to high performance computers, new particle tracking tools are needed. Tracker is an opensource, cross platform particle tracking velocimetry application for tracking objects in videos and image stacks. The goal of this project is to provide a tool that is, open source, continuously developed, does not rely on expensive software, parallel, has a graphical user interface (GUI), one continuous pipeline (from reading the file to post processing), well documented, and continuously tested and verified. The application has extensive preprocessing tools, two tracking methods including poly-projection and template matching, visualization tools, and post-processing tools. The techniques are tested using both synthetic data and real experimental images. The application is extremely flexible and is easily extended to other tracking techniques, with plans to add correlation-based algorithms and optical flow algorithms. The high-fidelity data being generated is now being used to validate computational fluid dynamic models that then will be used to predict the performance of these reactors, helping to achieve the US Department of Energy’s goal of developing novel, compact gas-solid reactors.
美国能源部的国家能源技术实验室正在寻求发展先进的能源转换技术,其中许多使用气固反应器,如流化床和立管。为了了解这些单元并为模型开发和验证工作提供高保真的颗粒速度,通常使用颗粒跟踪速度测量(PTV),并且仍然是从密集多相流实验中提取颗粒速度的少数几种方法之一。结合快速改进的相机(更高的帧率,更高的分辨率和更低的成本)和高性能计算机的使用,需要新的粒子跟踪工具。Tracker是一个开源的跨平台粒子跟踪测速应用程序,用于跟踪视频和图像堆栈中的物体。这个项目的目标是提供一个开源的、持续开发的、不依赖于昂贵的软件的、并行的、具有图形用户界面(GUI)、一个连续的管道(从读取文件到后处理)、有良好文档的、持续测试和验证的工具。该应用程序具有广泛的预处理工具,包括多投影和模板匹配在内的两种跟踪方法,可视化工具和后处理工具。使用合成数据和真实实验图像对这些技术进行了测试。该应用程序非常灵活,很容易扩展到其他跟踪技术,并计划添加基于相关的算法和光流算法。生成的高保真数据现在被用于验证计算流体动力学模型,然后将用于预测这些反应堆的性能,帮助实现美国能源部开发新型紧凑型气固反应堆的目标。
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引用次数: 2
Polynomial Chaos Based Solution to Inverse Problems in Petroleum Reservoir Engineering 基于多项式混沌的油藏工程反问题解
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-5291
Sufia Khatoon, J. Phirani, S. S. Bahga
In reservoir simulations, model parameters such as porosity and permeability are often uncertain and therefore better estimates of these parameters are obtained by matching the simulation predictions with the production history. Bayesian inference provides a convenient way of estimating parameters of a mathematical model, starting from a probable range of parameter values and knowing the production history. Bayesian inference techniques for history matching require computationally expensive Monte Carlo simulations, which limit their use in petroleum reservoir engineering. To overcome this limitation, we perform accelerated Bayesian inference based history matching by employing polynomial chaos (PC) expansions to represent random variables and stochastic processes. As a substitute to computationally expensive Monte Carlo simulations, we use a stochastic technique based on PC expansions for propagation of uncertainty from model parameters to model predictions. The PC expansions of the stochastic variables are obtained using relatively few deterministic simulations, which are then used to calculate the probability density of the model predictions. These results are used along with the measured data to obtain a better estimate (posterior distribution) of the model parameters using the Bayes rule. We demonstrate this method for history matching using an example case of SPE1CASE2 problem of SPEs Comparative Solution Projects. We estimate the porosity and permeability of the reservoir from limited and noisy production data.
在油藏模拟中,孔隙度和渗透率等模型参数通常是不确定的,因此通过将模拟预测与生产历史相匹配,可以更好地估计这些参数。贝叶斯推理提供了一种方便的方法来估计数学模型的参数,从参数值的可能范围开始,并了解生产历史。历史匹配的贝叶斯推理技术需要计算昂贵的蒙特卡罗模拟,这限制了其在油藏工程中的应用。为了克服这一限制,我们通过使用多项式混沌(PC)展开来表示随机变量和随机过程,从而实现基于贝叶斯推理的加速历史匹配。作为计算昂贵的蒙特卡罗模拟的替代品,我们使用基于PC展开的随机技术将不确定性从模型参数传播到模型预测。使用相对较少的确定性模拟获得随机变量的PC展开式,然后用于计算模型预测的概率密度。这些结果与测量数据一起使用,以使用贝叶斯规则获得模型参数的更好估计(后验分布)。我们以spe比较解决方案项目的SPE1CASE2问题为例,演示了这种历史匹配方法。我们从有限的和有噪声的生产数据中估计储层的孔隙度和渗透率。
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引用次数: 2
3D Numerical Study of the Transport Characteristics of an Evaporating Water Droplet Sessile on Heated Superhydrophobic Substrates 加热超疏水基板上无孔蒸发水滴输运特性的三维数值研究
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-5355
Yikun Peng, Shanshan Li, Z. Pan
Evaporation of sessile droplets on superhydrophobic substrates is an important fundamental problem. Classic diffusion-based model only considers vapor diffusion and assumes an isothermal profile along the droplet interface. The diffusion based model extremely overestimates the evaporation rate for droplets evaporating on heated superhydrophobic substrates, and results in a deviation of evaporation lifetime up to 52.5%. The present 3D numerical model considers various effects including vapor diffusion, buoyancy-driven flow and evaporative cooling, etc., with conjugate heat and mass transfer solved throughout the computational domain. Evaporation of a sessile water droplet with an initial volume of 3 μL is investigated on superhydrophobic substrates (contact angle: 160 deg) with heating temperature ranging from 40 °C to 60 °C. The deviation of evaporation lifetime is less than 2% for 40 °C and 50 °C substrates. A single-roll asymmetric vortex is produced inside the droplet rather than the symmetric recirculation flow predicted by 2D axisymmetric simulation. The evaporative cooling along the droplet interface is observed, but the coolest point appears on the one side of the droplet instead of the droplet top owing to the asymmetrical rolling flow inside the droplet. It is seen that the buoyancy-driven convection significantly speeds up the evaporation as the substrate temperature increases. Influence of relative humidity is also discussed and indicates a stronger impact for low substrate temperature. The present model not only precisely predicts the instantaneous evaporation rate and the total evaporation time, but also reveals the important underlying transport characteristics, which provides new insights into evaporation of water droplets resting on heated superhydrophobic substrates.
超疏水基板上固滴的蒸发是一个重要的基础问题。经典的基于扩散的模型只考虑蒸汽扩散,并假设沿液滴界面的等温分布。基于扩散的模型严重高估了液滴在加热的超疏水基板上蒸发的蒸发速率,导致蒸发寿命偏差高达52.5%。该三维数值模型考虑了蒸汽扩散、浮力驱动流动和蒸发冷却等多种影响,求解了整个计算域的共轭传热传质问题。研究了初始体积为3 μL的固体水滴在接触角为160°的超疏水基片上,加热温度为40℃~ 60℃时的蒸发过程。对于40°C和50°C的衬底,蒸发寿命的偏差小于2%。液滴内部产生了单辊不对称涡,而不是二维轴对称模拟预测的对称再循环流动。观察到沿液滴界面的蒸发冷却,但由于液滴内部的不对称滚动流动,液滴的最冷点出现在液滴的一侧而不是液滴的顶部。可见,随着基材温度的升高,浮力驱动的对流显著加速了蒸发。本文还讨论了相对湿度对衬底温度的影响,表明相对湿度对衬底温度的影响更大。该模型不仅精确地预测了瞬时蒸发速率和总蒸发时间,而且揭示了重要的潜在输运特征,为研究水滴在加热的超疏水基质上的蒸发提供了新的思路。
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引用次数: 0
Visualization of Microbubble Distribution Inside Turbulent Boundary Layer Along Flat and Curved Solid Surfaces 平面与曲面湍流边界层内微泡分布的可视化
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4647
Y. Murai, Daichi Saito, Daiki Ushiyama, H. Park, Y. Tasaka
How microbubbles behave inside turbulent boundary layers are investigated experimentally. Water electrolysis is applied for generation of microbubbles in water, of which electrodes are flash mounted on the solid wall in the upstream section of the measurement area. Four kinds of solid surfaces are examined to compare the microbubble distribution. For a circular cylinder of the radius R = 22 mm at Re = 5,000, we found that microbubbles depart from the surface earlier than the liquid boundary layer. For an elliptic cylinder of the curvature radius of R = 60 mm and a hydrofoil of NACA0040, microbubble injection made the separation point move downstream in the range of 9,000 < Re < 90,000. To compare the effect with the cases of flat solid surfaces (R = infinity), we visualized three-dimensional distribution of microbubbles with color-coded volumetric illumination technique. The result has shown formation of microbubble clusters intermittently, which has Coulomb potential due to negative electric charge on bubble interfaces.
实验研究了微气泡在湍流边界层中的行为。采用水电解在水中产生微泡,微泡电极闪装在测量区域上游段的固体壁上。研究了四种固体表面的微泡分布。对于半径为R = 22 mm的圆柱体,在Re = 5000时,我们发现微气泡早于液边界层离开表面。对于曲率半径R = 60 mm的椭圆圆柱体和NACA0040水翼,微泡注入使分离点在9000 < Re < 90000范围内向下游移动。为了与平面固体表面(R =无穷大)的效果进行比较,我们用彩色编码的体积照明技术可视化了微气泡的三维分布。结果表明,微气泡团簇的形成是间歇性的,由于气泡界面上的负电荷,微气泡团簇具有库仑电位。
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引用次数: 0
Reynolds-Averaged Navier-Stokes Modeling of Turbulent Rayleigh-Taylor, Richtmyer-Meshkov, and Kelvin-Helmholtz Mixing Using a Higher-Order Shock-Capturing Method 湍流Rayleigh-Taylor, richmyer - meshkov和Kelvin-Helmholtz混合使用高阶激波捕获方法的reynolds -平均Navier-Stokes建模
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-5235
O. Schilling
A numerical implementation of a large number of Reynolds-averaged Navier–Stokes (RANS) models based on two-, three-, four-equation, and Reynolds stress turbulence models (using either the turbulent kinetic energy dissipation rate or the turbulent lengthscale) in an Eulerian, finite-difference shock-capturing code is described. The code uses third-order weighted essentially nonoscillatory (WENO) reconstruction of the advective fluxes, and second- or fourth-order central difference derivatives for the computation of spatial gradients. A third-order TVD Runge–Kutta time-evolution scheme is used to evolve the fields in time. Improved closures for the turbulence production terms, compressibility corrections, mixture transport coefficients, and a consistent initialization methodology for the turbulent fields are briefly summarized. The code framework allows for systematic comparisons of detailed predictions from a variety of turbulence models of increasing complexity. Applications of the code with selected K–ε based models are illustrated for each of the three instabilities. Simulations of Rayleigh–Taylor unstable flows for Atwood numbers 0.1–0.9 are shown to be consistent with previous implicit LES (ILES) results and with the expectation of increased asymmetry in the mixing layer characteristics with increasing stratification. Simulations of reshocked Richtmyer–Meshkov turbulent mixing corresponding to experiments with light-to-heavy transition in air/sulfur hexafluoride and incident shock Mach number Mas = 1.50, and heavy-to-light transition in sulfur hexafluoride/air with Mas = 1.45 are shown to be in generally good agreement with both pre- and post-reshock mixing layer widths. Finally, simulations of the seven Brown–Roshko Kelvin–Helmholtz experiments with various velocity and density ratios using nitrogen, helium, and air are shown to give mixing layer predictions in good agreement with data. The results indicate that the numerical algorithms and turbulence models are suitable for simulating these classes of inhomogeneous turbulent flows.
在欧拉有限差分激波捕获程序中,描述了基于二方程、三方程、四方程和雷诺应力湍流模型(使用湍流动能耗散率或湍流长度尺度)的大量Reynolds-average Navier-Stokes (RANS)模型的数值实现。该代码使用三阶加权本质非振荡(WENO)重建平流通量,并使用二阶或四阶中心差分导数计算空间梯度。采用三阶TVD龙格-库塔时间演化格式对场进行时间演化。简要总结了湍流产生项的改进闭包、可压缩性修正、混合输运系数和湍流场的一致初始化方法。代码框架允许系统地比较各种复杂的湍流模型的详细预测。对于这三种不稳定性中的每一种,用所选的基于K -ε的模型说明了代码的应用。阿特伍德数为0.1-0.9的瑞利-泰勒不稳定流动的模拟结果与先前的隐式LES (ILES)结果一致,并且与混合层特征随分层增加而增加的不对称性的预期一致。空气/六氟化硫轻转重、入射激波马赫数Mas = 1.50、六氟化硫/空气重转轻、入射激波马赫数Mas = 1.45的再激波richmyer - meshkov湍流混合实验的模拟结果与再激波前后的混合层宽度基本吻合。最后,用氮气、氦气和空气对七个不同速度和密度比的布朗-罗什科开尔文-亥姆霍兹实验进行了模拟,结果表明混合层的预测与数据非常吻合。结果表明,数值算法和湍流模型适用于这类非均匀湍流的模拟。
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引用次数: 1
Relationship Between Macroscopic Rheological Properties and Microstructure of a Dilute Suspension by a Two-Way Coupling Numerical Scheme 稀悬液宏观流变特性与微观结构的双向耦合关系
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-5449
T. Fukui, M. Kawaguchi, K. Morinishi
The rheological properties of a suspension depend on particle shape, spatial arrangement of the particles and hydrodynamic interactions as well as the concentration of the particles. So far, we proposed a two-way coupling numerical scheme to evaluate the effects of particle rotation on the rheological properties. This particle rotation decreases the fluid resistance. However, these studies were conducted on the condition that suspended particles were homogeneously distributed. Therefore, the particles in this study are randomly scattered in a suspension for better practical applications. Pressure-driven suspension flow simulations were conducted to consider the effects of inertia on the relationship between spatial arrangement of the particles and the rheological properties of a suspension. The channel width and axial length were set 400 μm and 1620 μm, respectively, and periodic boundary conditions were applied in the flow direction. The rigid spherical particles whose diameter was 20 μm were randomly scattered in the channel as an initial condition. The concentration of the suspension was set 1.02% for dilute assumption, and the suspension flows with the Reynolds number from 2 to 128 were reproduced in order to investigate the inertial effects of the suspended particles on the rheological properties. The rheological properties of the suspension were evaluated in terms of power-law index (non-Newtonian index). The velocity profile of a suspension for low Reynolds number conditions exhibited almost parabolic. This indicates the suspension behaves as a Newtonian fluid. For higher Reynolds number conditions, on the other hand, the lift force on the particles increased and they migrated toward the equilibrium y-axis position, where the lift force is zero. These changes in the y-axis position of the particles caused a change in microstructure of the suspension, which were followed by a change in macroscopic rheological properties. Owing to these microstructure changes, the non-Newtonian (thixotropic) properties were enhanced as the Reynolds number increased.
悬浮液的流变特性取决于颗粒的形状、颗粒的空间排列、流体动力学相互作用以及颗粒的浓度。到目前为止,我们提出了一个双向耦合的数值方案来评估颗粒旋转对流变性能的影响。粒子的旋转减少了流体阻力。然而,这些研究都是在悬浮颗粒均匀分布的条件下进行的。因此,为了更好的实际应用,本研究中的颗粒随机分散在悬浮液中。为了考虑惯性对悬浮颗粒空间排列与悬浮流变性能之间关系的影响,进行了压力驱动悬浮流动模拟。通道宽度和轴向长度分别设置为400 μm和1620 μm,流动方向采用周期边界条件。将直径为20 μm的刚性球形颗粒随机分散在沟道中作为初始条件。为了研究悬浮颗粒的惯性对流变性能的影响,在稀释条件下,将悬浮液的浓度设置为1.02%,模拟雷诺数为2 ~ 128的悬浮液流动。用幂律指数(非牛顿指数)评价了悬浮液的流变性能。在低雷诺数条件下,悬架的速度分布几乎呈抛物线形。这表明悬浮液表现为牛顿流体。另一方面,在较高雷诺数条件下,颗粒上的升力增大,颗粒向y轴平衡位置迁移,此时升力为零。这些颗粒的y轴位置的变化引起了悬浮液微观结构的变化,从而导致了宏观流变特性的变化。由于这些微观结构的变化,非牛顿(触变)性能随着雷诺数的增加而增强。
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引用次数: 2
Research on the Condensation Process of Gaseous Water and Water/Ethanol Mixture in the Laval Nozzle 气体水和水/乙醇混合物在拉瓦尔喷嘴内冷凝过程的研究
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4917
Jiang Bian, Xuewen Cao
Condensation phenomenon has been studied actively for decades because of its extensive and significant applications in various fields of technology and engineering. The condensation phenomenon of condensable component in supersonic flows is still not understood very well as a result of the complex nucleation and droplet growth process, especially the condensation characteristic of gas mixture. In this paper, the Laval nozzle was designed based on the bi-cubic curve, state equation of real gas, arc plus straight line and viscous correction of boundary layer. The physical and mathematical models were developed to predict the condensation process in the supersonic air flows based on the nucleation and droplet growth theories, surface tension model and gas-liquid governing equations. The condensation processes of gaseous water/air binary (single condensable) gas and water/ethanol/air ternary (double condensable) gas mixture in the designed nozzle were simulated, and the reliability of the established models was verified by the experimental data. By comparing the condensation process of water/air binary gas with water/ethanol ternary gas, the influence of the second condensable component on the condensation process was analyzed. The results show that in the condensation process of gaseous water, as the pressure and temperature of water vapor decrease in the nozzle, spontaneous condensation occurs further downstream the nozzle throat. The nucleation rate grows rapidly from 0 to peak in a very short distance. With the consumption of water vapor, due to the decrease of the degree of supercooling, the nucleation environment is destroyed, and the nucleation rate quickly decreases to 0. The nucleation process is rapid in time and space, while the droplet growth process could maintain longer. The droplet number and mass fraction increase continuously till the nozzle outlet. There is a weak condensation in the nozzle due to the release of latent heat, but it is not obvious because the air acts as a heat container and absorbs the latent heat released by condensation. In the water/ethanol/air ternary system, the ethanol nucleates prior to water vapor. With the increase of supercooling, water vapor also begins to nucleate. In essence, there are two kinds of condensation nuclei (water nuclei and ethanol nuclei), and both the water and ethanol vapor can aggregate on these two kinds of condensation nuclei. Compared with the condensation process of water, the Wilson point of condensation is closer to the throat and the outlet mass fraction of liquid phase is greater in the condensation process of water/ethanol mixture, which shows that the water and ethanol can affect and promote each other. The maximum nucleation rate, droplet growth rate, droplet radius and outlet mass fraction of liquid phase of water/air binary and water/ethanol/air ternary mixture are about 9.46 × 1026 m−3s−1 and 2.57 × 1027 m−3s−1, 1.65 × 10−5 m/s and 1.02 × 10−5m/s, 1.32 × 10−7m and 1.63 ×
由于凝结现象在各个技术和工程领域有着广泛而重要的应用,因此几十年来一直受到人们的积极研究。由于复杂的成核和液滴生长过程,人们对超声速流动中可冷凝组分的冷凝现象,特别是气体混合物的冷凝特性还不是很了解。本文基于双三次曲线、实际气体状态方程、电弧加直线和边界层的粘性修正,设计了拉瓦尔喷嘴。基于成核和液滴生长理论、表面张力模型和气液控制方程,建立了超声速气流中凝结过程的物理和数学模型。对所设计喷嘴内气态水/空气二元(单可冷凝)气体和水/乙醇/空气三元(双可冷凝)气体混合物的冷凝过程进行了模拟,并通过实验数据验证了所建立模型的可靠性。通过比较水/空气二元气体与水/乙醇三元气体的冷凝过程,分析了第二可冷凝组分对冷凝过程的影响。结果表明:在气态水的冷凝过程中,随着喷嘴内水蒸气压力和温度的降低,在喷嘴喉部下游发生自发冷凝;成核速率在很短的距离内从0迅速增长到峰值。随着水蒸气的消耗,由于过冷程度的降低,成核环境被破坏,成核速率迅速降至0。成核过程在时间和空间上都很迅速,而液滴生长过程可以维持较长时间。液滴数量和质量分数不断增加,直至喷嘴出口。由于潜热的释放,喷嘴内存在微弱的冷凝,但由于空气充当热容器,吸收冷凝释放的潜热,因此不明显。在水/乙醇/空气三元体系中,乙醇先于水蒸气成核。随着过冷度的增大,水蒸气也开始成核。本质上有两种凝结核(水核和乙醇核),水和乙醇蒸气都可以聚集在这两种凝结核上。与水的冷凝过程相比,水/乙醇混合物的冷凝过程中,冷凝的威尔逊点更靠近喉部,液相的出口质量分数更大,说明水和乙醇可以相互影响和促进。水/空气二元和水/乙醇/空气三元混合物的最大成核速率、液滴生长速率、液滴半径和液相出口质量分数分别为9.46 × 1026 m - 3s - 1和2.57 × 1027 m - 3s - 1、1.65 × 10 - 5m/s和1.02 × 10 - 5m/s、1.32 × 10 - 7m和1.63 × 10 - 7m,分别为0.19%和1.34%。
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Volume 5: Multiphase Flow
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