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Volume 5: Multiphase Flow最新文献

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Formation Characteristics of Two-Phase Drops From Coaxial Nozzles 同轴喷嘴两相液滴形成特性
Pub Date : 2019-07-28 DOI: 10.1115/ajkfluids2019-5306
N. Kamatani, S. Ogata
The purpose of this study is to clarify the formation characteristics and production conditions of two-layer droplets using coaxial nozzle. In this study, we focus on Newtonian fluid only to pay attention to the fundamental formation characteristics of two-layer droplet. Also, the three liquids flowing in the apparatus were assumed to have the same viscosity and density. First, theoretical equations concerning the outer diameters of the single layer droplet and the two-layer droplet were obtained, and a conditional expression for detaching both nozzles simultaneously from the nozzle in dripping was obtained. These theoretical equations were verified using numerical analysis. By analyzing with various parameters changed, the following six formation modes could be confirmed. 2 interface both dripping, 2 interface both jetting, Outer interface is jetting and The inner interface is dripping, 2 interface comes into contact and the encapsulated liquid is discharged to the outside, Two or more droplets are formed in the interior, Liquid droplets containing liquid droplets and liquid droplets not containing liquid droplets are alternately formed. The validity of each theoretical expression and conditional expression was also be confirmed.
本研究的目的是阐明同轴喷嘴两层液滴的形成特征和产生条件。在本研究中,我们只关注牛顿流体,只关注双层液滴的基本形成特征。同时,假定在仪器中流动的三种液体具有相同的粘度和密度。首先,得到了单层液滴和双层液滴外径的理论方程,并得到了两层液滴在滴液过程中同时与喷嘴分离的条件表达式;用数值分析验证了这些理论方程。通过对各种参数变化的分析,可以确定以下六种地层模式。2界面均滴,2界面均喷,外界面为喷,内界面为滴,2界面接触,被封装的液体向外排出,内部形成两个或两个以上的液滴,含液滴的液滴与不含液滴的液滴交替形成。验证了各理论表达式和条件表达式的有效性。
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引用次数: 0
The Study of Exhausting Accumulated Liquid in Upward Inclined Pipe Using a Swirl Tool 用旋流工具排出上斜管内积液的研究
Pub Date : 2019-07-28 DOI: 10.1115/ajkfluids2019-4913
Xie Zhenqiang, Xuewen Cao, Fachun Liang, Jun Zhang
The problem of accumulated liquid is very common in wet gas gathering pipelines which varies with the topography, this phenomenon is much more serious especially in upward inclined pipelines. The existence of accumulated liquid at the bottom of the pipeline would decrease the area of the cross section that gas flows through. This makes the gas velocity fluctuate unpredictably and even results in shocks and blocks in pipelines which may cause danger in the safety management of oil and gas production. Swirl tool is a kind of rigid tool which can transfer different flow patterns to a flow pattern similar to annular flow and it has been successfully used to exhaust accumulated liquid in oil fields. However, the mechanism of swirling flow generation in a swirl tool is not fully understood and few researchers have explained how the annular-similar flow decays. In this paper, the formation mechanism of swirling flow in a swirl tool is analyzed using a physical method. The flow pattern transfer procedure and distribution of gas and liquid in the cross section of the pipeline in the swirl tool is simulated with FLUENT (a commercial CFD code). Following the swirling flow formation analysis, the decay of the annular-similar flow from the outlet of the swirl tool is also simulated with FLUENT (a commercial CFD code). Also, the effects of different superficial gas velocities and different liquid rates on the decay of the annular-similar flow are studied with the swirl tool fixed at the bottom of the upward inclined pipeline. The results show that the formation of swirling flow in a swirl tool is mostly affected by the geometric structure of the swirl tool. The centrifugal force is the main force which transfers different flow patterns to a flow pattern similar to annular flow. The centrifugal force that acts on liquid is larger than that of gas since the density of the liquid is much bigger than gas. The annular-similar flow starts to take shape in the swirl tool after the first thread pitch, but the annular-similar flow is nonuniform. After about three thread pitches, the annular-similar flow becomes uniform with liquid surrounding the inner wall of the pipe and gas flowing in the core region of the pipe. The distance of the annular-similar flow sustains longer when the superficial gas velocity increases which means the decay of the swirling flow is slower. Since sufficient liquid rate is critical to maintain annular-similar flow after the tool when the gas flow rate is fixed, the distance of the annular-similar flow goes longer if there is a little increase in liquid rate.
湿式集气管道的积液问题随着地形的变化而变化,积液问题更为严重,特别是在上斜面管道中。管道底部积聚的液体的存在会减小气体流过的横截面面积。这使得气体流速波动不可预测,甚至会造成管道的冲击和堵塞,给油气生产的安全管理带来危险。旋流工具是一种刚性工具,它可以将不同的流型转化为类似环空流的流型,并已成功地用于油田的积液排气。然而,旋流工具中旋流产生的机理尚不完全清楚,很少有研究者解释环形相似流是如何衰减的。本文用物理方法分析了旋流工具内旋流的形成机理。利用FLUENT(商用CFD软件)模拟了旋流工具内管道截面内气液的流态、传递过程和分布。在旋流形成分析的基础上,利用FLUENT(商用CFD代码)对旋流工具出口的环形相似流的衰减进行了模拟。在上斜管道底部固定旋流工具,研究了不同表面气速和不同液速对环空相似流衰减的影响。结果表明:旋流刀具内旋流的形成主要受刀具几何结构的影响。离心力是将不同的流型转化为类似于环形流的流型的主要力量。作用在液体上的离心力比作用在气体上的离心力大,因为液体的密度比气体大得多。旋流工具在第一螺纹距后开始形成环空相似流,但环空相似流不均匀。经过约3个螺纹节距后,环空相似流动趋于均匀,液体围绕管内壁,气体在管内核心区域流动。当表面气体速度增加时,环状相似流的距离持续时间更长,这意味着旋流的衰减速度较慢。当气体流量一定时,足够的液量是维持工具后环空相似流动的关键,当液量稍有增加时,环空相似流动的距离就会变长。
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引用次数: 0
Flow Past Two Cylinders Arranged in Tandem Within a Microbubble Plume 流过微泡羽流内串联排列的两个圆柱体
Pub Date : 2019-07-28 DOI: 10.1115/ajkfluids2019-4971
T. Uchiyama, R. Kano, T. Degawa, K. Takamure
This study investigates the flow past two cylinders arranged in tandem within a microbubble plume inside a tank. Microbubbles with a mean diameter of 0.055 mm are released by water electrolysis from electrodes placed at the bottom of the tank. Upon rising, these microbubbles induce an upward water flow around them due to buoyancy. Orthogonally to the axis of this microbubble plume, two cylinders with a diameter D of 30 mm are arranged in tandem. The distance between the cylinders, L, ranges between 1.5D and 3D. The bubbles and the water flow around the cylinders are visualized, and the bubble velocity distribution is measured. The experiments reveal the water and bubble shear layers originating at the sides of the lower cylinder, and allow the elucidation of their behavior around the upper cylinder. Furthermore, this study makes clear the effects of L on the flow around the two cylinders, such as the stagnant bubbly flow and the bubbly wake.
本研究考察了在储罐内微泡羽流内串联布置的两个圆柱体的流动。平均直径为0.055毫米的微气泡通过电解从放置在水箱底部的电极释放出来。当这些微气泡上升时,由于浮力的作用,它们周围的水会向上流动。两个直径D为30毫米的圆柱体与微泡羽流的轴线垂直串联排列。圆柱体之间的距离L在1.5D到3D之间。可视化了气泡和水在圆柱体周围的流动,并测量了气泡的速度分布。实验揭示了起源于下圆柱体两侧的水和气泡剪切层,并允许阐明它们在上圆柱体周围的行为。此外,本研究还明确了L对两个圆柱体周围流动的影响,如停滞的气泡流动和气泡尾迹。
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引用次数: 0
Experimental Investigation on Influence of Inclination and Curved Surface of Ship Bottom in Air Lubrication Method 船舶底部倾角和曲面对空气润滑方法影响的实验研究
Pub Date : 2019-07-28 DOI: 10.1115/ajkfluids2019-5256
C. Kawakita, T. Hamada
The air lubrication method, which mixes millimeter bubbles into the flow around the hull and reduces frictional resistance, is expected to have a large energy saving effect among a number of marine energy saving technologies. Concerning the frictional drag reduction effect using the air lubrication method, in this study, the frictional drag reduction effect was experimentally investigated for gas-liquid two phase flow considering the influence of inclination and curved surface of the ship bottom. Measurement of local shear stress and measurement of void fraction distribution near the wall surface were carried out and the correlation between local shear stress and local void fraction distribution was grasped.
空气润滑方法是将毫米级气泡混合到船体周围的流体中,减少摩擦阻力,预计在众多海洋节能技术中具有很大的节能效果。针对空气润滑方式的摩擦减阻效果,本研究考虑了船底倾角和曲面的影响,对气液两相流的摩擦减阻效果进行了实验研究。进行了局部剪切应力和壁面附近空隙率分布的测量,掌握了局部剪切应力与壁面附近空隙率分布的相关性。
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引用次数: 2
Experimental Investigation of Choked Flow Conditions for Bubbly Flow 气泡流呛流条件的实验研究
Pub Date : 2019-07-28 DOI: 10.1115/ajkfluids2019-5225
Thomas G. Shepard, Aleksey Garbaly
In an effervescent atomizer, a bubbly two-phase mixture flows through a convergent section before exhausting from an exit orifice. It is commonly believed that one of the key effects of including bubbles is in the substantial decrease in the speed of sound experienced by the two-phase flow allowing for choked flow conditions at the exit. The existence of choked conditions would result in under-expanded bubbles that would further expand upon exiting the atomizer and provide additional forces to aid in the break-up of the bulk liquid into droplets. This study examines how the homogenous two-phase flow model of speed of sound, and thus critical conditions, compare with experiments in order to better understand the fundamental physics of effervescent atomization. In these experiments, an effervescent atomizer is connected to a vacuum chamber allowing for internal atomizer pressure, liquid flow rate and air flow rate to be monitored as the post-exit pressure is decreased. Experiments reveal that the flow remains subcritical well beyond conditions that the homogenous flow theory might predict being choked. High-speed imaging is used to capture internal atomizer bubble size.
在泡腾式雾化器中,气泡状的两相混合物在从出口孔排出之前流经会聚部分。人们普遍认为,加入气泡的关键影响之一是使两相流经历的声速大幅降低,从而使出口出现阻塞流动。堵塞条件的存在会导致气泡膨胀不足,这些气泡在离开雾化器时会进一步膨胀,并提供额外的力来帮助散装液体分解成液滴。为了更好地理解泡腾雾化的基本物理,本研究考察了声速均匀两相流模型和临界条件与实验的比较。在这些实验中,一个泡腾式雾化器连接到一个真空室,当出口后压力降低时,可以监测雾化器内部压力、液体流速和空气流速。实验表明,流动仍然处于亚临界状态,远远超出了均匀流动理论可能预测的阻塞条件。高速成像用于捕捉雾化器内部气泡大小。
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引用次数: 0
The Spike Dynamics Source Model for Ejecta in the FLAG Code FLAG代码中抛射的尖峰动力学源模型
Pub Date : 2019-06-19 DOI: 10.1115/ajkfluids2019-5455
A. Harrison
The Lagrangian hydrocode FLAG employs a subgrid model to represent the ejection of particulate mass (“ejecta”) from a shocked metal surface. With a conforming mesh used in typical simulations, the calculations of ejecta production, properties and launch are carried out independently on each mesh face lying on the surface of the metal. Based on experimental evidence [1] that ejecta production is greatest when the shock releases to the liquid state, the ejection process is modeled as a Richtmyer-Meshkov instability (RMI) of the liquid metal surface, in which the metal spikes that form break up to become ejecta. The model applies to the case in which surface perturbations such as machining grooves can be well approximated as a single-mode sinusoidal perturbation; in this case the RMI spikes are actually sheets. The FLAG model includes (1) a description of RMI spike and bubble growth rates [2] and (2) the Self-Similar Velocity Distribution (SSVD) model of the velocity field within a spike as varying linearly from zero (in the fluid frame) at the base to a maximum value at the tip [3]. We report here on the improvement of this model by incorporating (3) a spike breakup treatment based on the Taylor Analogy Breakup (TAB) model [5], as extended to apply to sheet breakup [6,7], and (4) a new model for the inflow of metal into the base of the spikes. Combining all these elements allows us to self-consistently reconcile the evolving shape of the spikes (elongation and thinning) with the inflow, and with the corresponding properties of the bubbles, under the assumption of incompressibility. Since the model describes the motion of each fluid element into and along the spike, and subsequent fragmentation of the spike into ejecta, it predicts not only mass ejection rate but also the sizes and velocities of the particles launched in this process. We describe the new self-consistent model and its implementation in FLAG.
拉格朗日氢代码FLAG采用子网格模型来表示从受冲击的金属表面喷出的颗粒质量(“喷出物”)。典型模拟采用统一的网格,在金属表面的每个网格面上独立进行弹丸产生、弹丸性能和弹丸发射的计算。根据实验证据[1],当激波释放到液体状态时,喷射物的产生是最大的,因此将喷射过程建模为液态金属表面的richmyer - meshkov不稳定性(RMI),在此过程中,形成的金属尖峰破裂成为喷射物。该模型适用于加工槽等表面扰动可以很好地近似为单模正弦扰动的情况;在这种情况下,RMI尖峰实际上是薄片。FLAG模型包括(1)对RMI尖峰和气泡生长速率的描述[2]和(2)尖峰内速度场的自相似速度分布(SSVD)模型,该模型从底部的零(在流体框架中)到尖端的最大值呈线性变化[3]。我们在此报告了对该模型的改进,包括(3)基于Taylor类比破裂(TAB)模型[5]的穗破裂处理,并将其扩展到薄片破裂[6,7],以及(4)金属流入穗底部的新模型。结合所有这些元素,我们可以在不可压缩性假设下,自一致地协调尖刺的演变形状(伸长和变薄)与流入以及气泡的相应属性。由于该模型描述了每个流体元素进入和沿着尖峰的运动,以及随后尖峰破碎成抛射物,因此它不仅预测了质量抛射率,还预测了在此过程中发射的颗粒的大小和速度。我们描述了新的自洽模型及其在FLAG中的实现。
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引用次数: 0
Implicit Large-Eddy Simulation of Transition and Turbulence Decay 隐式大涡跃迁和湍流衰减模拟
Pub Date : 2014-11-25 DOI: 10.1115/ajkfluids2019-5451
F. Grinstein
Accurate predictions with quantifiable uncertainties are essential to many practical turbulent flow applications exhibiting extreme geometrical complexity and broad ranges of length and time scales. Under-resolved computer simulations are typically unavoidable in such applications, and implicit large-eddy simulation (ILES) often becomes the effective strategy. We focus on ILES initialized with well-characterized 2563 homogeneous isotropic turbulence datasets generated with direct numerical simulation (DNS). ILES is based on the LANL xRAGE code, and solutions are examined as function of resolution for 643, 1283, 2563, and 5123 grids. The ILES performance of new directionally-unsplit high-order numerical hydrodynamics algorithms in xRAGE is examined. Compared to the initial 2563 DNS, we find longer inertial subranges and higher turbulence Re for directional-split 2563 & 5123 xRAGE — attributed to having linked DNS (Navier-Stokes based) solutions to nominally inviscid (higher Re) Euler based ILES solutions. Alternatively — for fixed resolution, we find that significantly higher simulated turbulence Re can be achieved with unsplit (vs. split) discretizations.
具有可量化不确定性的准确预测对于许多实际湍流应用是必不可少的,这些应用具有极端的几何复杂性和广泛的长度和时间尺度。在此类应用中,低分辨率的计算机模拟通常是不可避免的,而隐式大涡模拟(ILES)往往成为有效的策略。我们的重点是用直接数值模拟(DNS)生成的2563均匀各向同性湍流数据集初始化的ILES。ILES基于LANL xRAGE代码,并将解决方案作为643、1283、2563和5123网格分辨率的函数进行检查。研究了xRAGE中新的无方向分裂高阶数值流体力学算法的ILES性能。与最初的2563 DNS相比,我们发现方向分裂2563和5123 xRAGE的惯性子范围更长,湍流Re更高,这归功于将DNS(基于Navier-Stokes)的解决方案与名义上无粘性(更高Re)的基于欧拉的ILES解决方案相关联。另外,对于固定分辨率,我们发现使用非分裂(与分裂)离散化可以获得显着更高的模拟湍流Re。
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引用次数: 1
Experimental Study of Free-Surface Deformation and Cavitation Bubble Dynamics in a Megasonic Cleaning Bath 超声速清洗槽内自由表面变形及空化气泡动力学实验研究
Pub Date : 1900-01-01 DOI: 10.1115/ajkfluids2019-5345
Yu Katano, K. Ando
Underwater ultrasound causes various physical phenomena in megasonic cleaning baths, e.g. cavitation inception, bubble translation and free-surface deformation (FSD) due to acoustic radiation pressure. Because FSD is especially noticeable in the case of high frequency ultrasound due to its high directivity, it is essential to investigate the interaction between FSD and bubble translation in megasonic cleaning bath. In our present experiments, we construct a typical setup for megasonic cleaning and irradiate water with 1 MHz ultrasound vertically upwards. We visualize FSD and bubbles and analyze the height of FSD and the translational velocity in frequency space. The bubbles translate in both short and long time scales caused by bubble-bubble interaction and periodic FSD, respectively, and the latter has periodicity. The most dominant frequency component in FSD shows good agreement with that in the translational velocity of the bubbles and does not depend on whether cavitation occurs or not. Therefore, it is suggested that FSD causes periodicity of bubble translation.
水下超声在超声速清洗池中引起各种物理现象,如空化产生、气泡平移和由于声辐射压力引起的自由表面变形等。由于FSD在高频超声情况下具有高指向性,因此有必要研究FSD与超声速清洗槽中气泡平移之间的相互作用。在本实验中,我们建立了一个典型的超声速清洗装置,用1mhz的超声波垂直向上照射水。我们可视化了FSD和气泡,并分析了FSD的高度和在频率空间中的平移速度。气泡在短时和长时尺度上的平移分别由气泡-气泡相互作用和周期FSD引起,其中周期FSD具有周期性。FSD中最主要的频率分量与气泡平动速度的频率分量具有较好的一致性,并且不依赖于是否发生空化。因此,我们认为FSD引起了气泡平移的周期性。
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引用次数: 0
Comparison in High-Speed Droplet Impact Between Single and Multiple Collisions Against a Wall Covered With a Liquid Film 单次与多次高速液滴撞击覆有液膜壁面的比较
Pub Date : 1900-01-01 DOI: 10.1115/ajkfluids2019-5200
Yoichiro Fukuchi, T. Kondo, K. Ando
In semiconductor industry, liquid jet cleaning plays an important role because of its high cleaning efficiency and low environmental load. However, its cleaning mechanism is not revealed in detail because the experimental observation of high-speed and sub-micron droplets is challenging. Furthermore, higher impact velocity may give rise to surface erosion due to water-hammer shock loading from the impingement. To study cleaning mechanisms and surface erosion, numerical simulation of droplet impingement accounting for both viscosity and compressibility is an effective approach. In the previous study, wall-shear-flow generation has evaluated from the simulation of high-speed single droplet impingement. To evaluate more practical model of jet cleaning application, simulation of two droplets simplifying mono-dispersed splay of droplet train is favorable. Here, we numerically simulated impingement of two droplets, which allows for evaluating water-hammer pressure and wall shear stress. We consider the case of two water droplets (200 μm in diameter) that collides continuously, at speed 50 m/s, at the inter-droplet distance from 250 to 400 μm, with a no-slip rigid wall covered with a water layer (100 μm in thickness). The simulation is based on compressible Navier-Stokes equations for axisymmetric flow and the mixture of two components appears in numerically diffusion interface expressed by the volume average and advection equation. The simulation is solved by finite-volume WENO scheme that can capture both shock waves and material interface. In our simulation, the impingement of second droplet impingement gain higher shear stress than the single droplet impingement. At the case that the inter-droplet distance is 300 μm, maximum shear stress is 30.22 kPa (at the second droplet impingement), which is much larger than at the first droplet impingement (8.42 kPa). This result indicates how the second droplet impingement make wall shear flow induced by first droplet impingement stronger. From the parameter study of the inter-droplet distance, we can say that wall shear stress gets stronger as water layer thickness decreases. Furthermore, the maximum wall pressure is 1.96 MPa at the second droplet impingement, which is larger than at the first droplet impingement (1.46 MPa). From this study, the evaluation of surface erosion caused by jet cleaning is expected. The simulation suggests that multiple droplets impingement continuously may gain higher cleaning efficiency, which will give us a fundamental insight into liquid jet cleaning technologies. For further study, simulation of water column impingement and comparing the result of impingement of two droplets are expected.
在半导体工业中,液体射流清洗因其清洗效率高、环境负荷小而发挥着重要作用。然而,由于高速和亚微米液滴的实验观察具有挑战性,其清洁机理尚未详细揭示。此外,较高的冲击速度可能会由于撞击产生的水锤冲击载荷而引起表面侵蚀。考虑黏度和压缩率的液滴撞击数值模拟是研究清洁机理和表面侵蚀的有效方法。在以往的研究中,壁面剪切流的产生是通过模拟高速单液滴撞击来评估的。为了评估更实用的射流清洗模型,采用双液滴模拟简化了单分散的液滴排列。在这里,我们数值模拟了两个液滴的撞击,从而可以评估水锤压力和壁面剪应力。我们考虑了两个直径为200 μm的水滴在250 ~ 400 μm之间以50 m/s的速度连续碰撞的情况,液滴之间的距离为250 ~ 400 μm,液滴的刚性壁面上覆盖着厚度为100 μm的水层。模拟基于轴对称流动的可压缩Navier-Stokes方程,两组分的混合出现在由体积平均和平流方程表示的数值扩散界面上。采用能同时捕捉激波和材料界面的有限体积WENO方案求解。在我们的模拟中,二次液滴撞击比单液滴撞击获得更高的剪切应力。当液滴间距为300 μm时,第二次液滴撞击时的最大剪切应力为30.22 kPa,远远大于第一次液滴撞击时的8.42 kPa。结果表明,第二次液滴撞击使第一次液滴撞击引起的壁面剪切流更强。从液滴间距的参数研究可知,壁面剪切应力随水层厚度的减小而增大。第二次液滴撞击时的最大壁面压力为1.96 MPa,大于第一次液滴撞击时的最大壁面压力(1.46 MPa)。通过本研究,可以对射流清洗引起的表面侵蚀进行评价。模拟结果表明,多液滴连续撞击可以获得更高的清洗效率,这将使我们对液体射流清洗技术有一个基本的了解。为了进一步的研究,希望对水柱撞击进行模拟,并对两个水滴撞击的结果进行比较。
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引用次数: 0
LBM Simulations of Dispersed Multiphase Flows in a Channel: Role of a Pressure Poisson Equation 流道内分散多相流的LBM模拟:压力泊松方程的作用
Pub Date : 1900-01-01 DOI: 10.1115/ajkfluids2019-4943
J. Horwitz, S. Vanka, Purushotam Kumar
In recent years, Lattice Boltzmann Methods (LBM’s) have emerged as a popular class of paradigms for the simulation of multiphase flows. These methods rely on discretized Boltzmann equations to represent the individual multiphase species. Among LBM’s advantages is its ability to explicitly account for interfacial physics and its local streaming/collision operations which make it ideally suited for parallelization. However, one drawback of LBM is in the simulation of incompressible multiphase flow, whereby the density should remain constant along material characteristics. Because LBM uses a state equation to relate pressure and density, incompressibility cannot be enforced directly. This is true even for incompressible single-phase LBM calculations, in which a finite density drop is needed to drive through the flow. This is also the case for compressible Navier-Stokes algorithms when applied to low Mach number flow. To mitigate compressibility effects, LBM can be used in low Mach regimes which should keep material density variation small. In this work, we demonstrate that the assumption of low Mach number is not sufficient in multiphase internal flows. In such flows, in the absence of a Pressure Poisson constraint to enforce incompressibility, LBM predicts a compressible solution whereby a density gradient must develop to conserve mass. Imposition of inflow/outflow boundary conditions or a mean body force can ensure that mass is conserved globally, thereby quelling density variation. The primary numerical problem we study is the deformation of a liquid droplet immersed in another fluid. Though LBM is not typically conducted with a pressure Poisson equation, we incorporate one in this work and demonstrate that its inclusion can significantly lower the density variation in view of maintaining an incompressible flow.
近年来,晶格玻尔兹曼方法(Lattice Boltzmann Methods, LBM’s)已成为多相流模拟的一种流行范式。这些方法依赖于离散玻尔兹曼方程来表示单个多相种。LBM的优点之一是它能够明确地解释界面物理和它的本地流/碰撞操作,这使得它非常适合并行化。然而,LBM的一个缺点是在模拟不可压缩多相流时,密度应沿材料特性保持恒定。由于LBM使用状态方程来联系压力和密度,因此不能直接强制不可压缩性。即使在不可压缩的单相LBM计算中也是如此,在这种计算中,需要一个有限的密度降来驱动流体。当应用于低马赫数流时,可压缩Navier-Stokes算法也是如此。为了减轻可压缩性效应,LBM可以在低马赫数条件下使用,这应该使材料密度变化很小。在这项工作中,我们证明了低马赫数假设在多相内部流动中是不充分的。在这种流动中,在没有压力泊松约束来强制不可压缩的情况下,LBM预测了一个可压缩的解决方案,其中必须发展密度梯度来保持质量。施加流入/流出边界条件或平均体力可以确保质量在全局上守恒,从而抑制密度变化。我们研究的主要数值问题是浸入另一种流体中的液滴的变形。虽然LBM通常不使用压力泊松方程进行,但我们在这项工作中纳入了一个泊松方程,并证明了它的包含可以显著降低密度变化,以保持不可压缩流动。
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引用次数: 3
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Volume 5: Multiphase Flow
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