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Modelling the generation of temperature inhomogeneities by a premixed flame 预混火焰产生温度不均匀性的建模
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-06-01 DOI: 10.1177/1756827717738139
T. Steinbacher, M. Meindl, W. Polifke
The response of a laminar, premixed flame to perturbations of upstream equivalence ratio is investigated and modelled, with emphasis on the generation of ‘entropy waves’, i.e. entropic inhomogeneities of downstream temperature. Transient computational fluid dynamics simulations of two adiabatic lean methane-air flames of different Péclet numbers provide guidance and validation data for subsequent modelling. The respective entropy transfer functions, which describe the production of temperature inhomogeneities, as well as transfer functions for the variation of the heat release, are determined from the computational fluid dynamics time series data by means of system identification. The processes governing the dynamics of the entropy transfer functions are segregated into two sub-problems: (1) heat release due to chemical reaction at the flame front and (2) advective and diffusive transport. By adopting a formulation in terms of a mixture fraction variable, these two sub-problems can be treated independently from each other. Models for both phenomena are derived and analysed using simple 0- and 1-dimensional configurations. The heat release process (1) is represented by a fast-reaction-zone model, which takes into account variations of the specific heat capacity with equivalence ratio in order to evaluate the magnitude of downstream temperature fluctuations with quantitative accuracy. For the transport processes (2), two types of models based on mean field data from the computational fluid dynamics simulation are proposed: A semi-analytical, low-order formulation based on stream lines, and a state-space formulation, which is constructed by Finite Elements discretisation of the transport equation for mixture fraction. Model predictions for the entropy transfer functions are found to agree well with the computational fluid dynamics reference data at very low computational costs.
层流预混火焰对上游等效比扰动的响应进行了研究和建模,重点研究了“熵波”的产生,即下游温度的熵不均匀性。两种不同pims数的绝热贫甲烷-空气火焰的瞬态计算流体动力学模拟为后续的建模提供了指导和验证数据。通过系统辨识,从计算流体动力学时间序列数据中确定了描述温度不均匀性产生的熵传递函数和热释放变化的传递函数。控制熵传递函数动力学的过程分为两个子问题:(1)火焰前缘化学反应引起的热释放和(2)平流和扩散输运。通过采用混合分数变量的公式,这两个子问题可以相互独立地处理。这两种现象的模型推导和分析使用简单的0和1维配置。放热过程(1)采用快速反应区模型表示,该模型考虑了比热容随等效比的变化,以便定量准确地评价下游温度波动的幅度。对于输运过程(2),提出了两种基于计算流体动力学模拟平均场数据的模型:一种基于流线的半解析低阶公式,以及一种通过混合分数输运方程的有限元离散化构建的状态空间公式。模型预测的熵传递函数与计算流体力学参考数据非常吻合,计算成本很低。
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引用次数: 11
The effect of an axial mean temperature gradient on communication between one-dimensional acoustic and entropy waves 轴向平均温度梯度对一维声波和熵波通信的影响
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-06-01 DOI: 10.1177/1756827717743910
Jingxuan Li, Dong Yang, A. Morgans
This work performs a theoretical and numerical analysis of the communication between one-dimensional acoustic and entropy waves in a duct with a mean temperature gradient. Such a situation is highly relevant to combustor flows where the mean temperature drops axially due to heat losses. A duct containing a compact heating element followed by an axial temperature gradient and choked end is considered. The proposed jump conditions linking acoustic and entropy waves on either side of the flame show that the generated entropy wave is generally proportional to the mean temperature ratio across the flame and the ratio ( F - 1 ) , where F is the flame transfer function. It is inversely proportional to the Mach number immediately downstream of the flame M2. The acoustic and entropy fields in the region of axial mean temperature gradient are calculated using four approaches: (1) using the full three linearised Euler equations as the reference; (2) using two linearised Euler equations in which the acoustic and entropy waves are assumed independent (thus allowing the extent of communication between the acoustic and entropy wave to be evaluated); (3) using a Helmholtz solver which neglects mean flow effects and (4) using a recently developed analytical solution. It is found that the communication between the acoustic and entropy waves is small at low Mach numbers; it rises with increasing Mach number and cannot be neglected when the mean Mach number downstream of the heating element exceeds 0.1. Predictions from the analytical method generally match those from the full three linearised Euler equations, and the Helmholtz solver accurately determines the acoustic field when M 2 ≤ 0 . 1 .
本文对具有平均温度梯度的管道中一维声波和熵波之间的通信进行了理论和数值分析。这种情况与平均温度由于热损失而轴向下降的燃烧室流动高度相关。考虑一个包含紧凑加热元件的管道,其后是轴向温度梯度和阻塞端。所提出的火焰两侧声波和熵波连接的跳跃条件表明,所产生的熵波通常与火焰的平均温度比和比值(F - 1)成正比,其中F为火焰传递函数。它与火焰M2下游的马赫数成反比。采用四种方法计算轴向平均温度梯度区域的声场和熵场:(1)以完整的三个线性化欧拉方程为参考;(2)使用两个线性化的欧拉方程,其中假设声波和熵波是独立的(从而允许评估声波和熵波之间的通信程度);(3)使用忽略平均流效应的亥姆霍兹求解器;(4)使用最近发展的解析解。结果表明,在低马赫数条件下,声波与熵波之间的通信很小;它随着马赫数的增加而增大,当加热元件下游平均马赫数超过0.1时,它不可忽略。解析方法的预测结果通常与全部三个线性欧拉方程的预测结果相匹配,亥姆霍兹解算器准确地确定了m2≤0时的声场。1 .
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引用次数: 8
An analytical model based on the G-equation for the response of technically premixed flames to perturbations of equivalence ratio 基于g方程的技术预混火焰对等效比扰动响应解析模型
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-06-01 DOI: 10.1177/1756827717740776
Alp Albayrak, W. Polifke
A model for the response of technically premixed flames to equivalence ratio perturbations is proposed. The formulation, which is an extension of an analytical flame tracking model based on the linearized G-equation, considers the flame impulse response to a local, impulsive, infinitesimal perturbation that is transported by convection from the flame base towards the flame surface. It is shown that the contributions of laminar flame speed and heat of reaction to the impulse response exhibit a local behavior, i.e. the flame responds at the moment when and at the location where the equivalence ratio perturbation reaches the flame surface. The time lag of this process is related to a convective time scale, which corresponds to the convective transport of fuel from the base of the flame to the flame surface. On the contrary, the flame surface area contribution exhibits a non-local behavior: albeit fluctuations of the flame shape are generated locally due to a distortion of the kinematic balance between flame speed and the flow velocity, the resulting wrinkles in flame shape are then transported by convection towards the flame tip with the restorative time scale. The impact of radial non-uniformity in equivalence ratio perturbations on the flame impulse response is demonstrated by comparing the impulse responses for uniform and parabolic radial profiles. Considerable deviation in the phase of the flame transfer function, which is important for thermo-acoustic stability, is observed.
提出了一个技术预混火焰对当量比扰动的响应模型。该公式是基于线性化G方程的分析火焰跟踪模型的扩展,考虑了火焰脉冲对局部、脉冲、无穷小扰动的响应,该扰动通过对流从火焰底部向火焰表面传输。结果表明,层流火焰速度和反应热对脉冲响应的贡献表现出局部行为,即火焰在当量比扰动到达火焰表面的时刻和位置做出响应。这一过程的时滞与对流时间尺度有关,对流时间尺度对应于燃料从火焰底部到火焰表面的对流传输。相反,火焰表面积的贡献表现出非局部行为:尽管火焰形状的波动是由于火焰速度和流速之间的运动平衡失真而局部产生的,但火焰形状中产生的褶皱随后通过对流以恢复时间尺度向火焰尖端传输。通过比较均匀和抛物线径向轮廓的脉冲响应,证明了当量比扰动中的径向不均匀性对火焰脉冲响应的影响。观察到火焰传递函数的相位有相当大的偏差,这对热声稳定性很重要。
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引用次数: 6
Advective disturbances in combustor thermoacoustics 燃烧室热声学中的对流扰动
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-05-22 DOI: 10.1177/1756827718773164
A. Morgans
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引用次数: 0
Measurements in swirling spray flames at blow-off 吹出时旋涡喷射火焰的测量
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-03-23 DOI: 10.1177/1756827718763559
R. Yuan, J. Kariuki, E. Mastorakos
Various characteristics of swirling spray flames of ethanol, n-heptane, n-decane, and n-dodecane have been measured at conditions far from and close to blow-off using phase Doppler anemometry and OH* chemiluminescence, OH-planar laser-induced fluorescence, and Mie scattering at 5 kHz. The blow-off transient has also been examined. The OH* showed that the two main heat release regions lie around the spray jet at the inner recirculation zone and along the outer shear layer between the inner recirculation zone and the annular air jet. The heat release region is shortened and more attached as the flame approached blow-off. Mie images and phase Doppler anemometry data showed a wider dispersion of the ethanol spray compared to the other fuels. Similar spatial distributions of the Sauter mean diameter were observed for the four fuels for identical flow conditions, with the Sauter mean diameter value increasing with decreasing fuel volatility, but with the exception of significant presence of droplets in the nominally hollow cone for the ethanol spray. The OH-planar laser-induced fluorescence measurements showed an intermittent lift-off from the corner of the bluff body and the average lift-off height decreased with increasing air velocity, with less extinction along the inner flame branch especially for the heavier fuels. At the blow-off conditions, local extinctions appeared at both flame branches. The blow-off process followed a gradual reduction of the size of the flame, with the less volatile fuels showing a more severe flame area reduction compared to the condition far from blow-off. The average blow-off duration, τ ext , calculated from the evolution of the area-integrated OH* signal, was a few tens of milliseconds and for all conditions investigated the ratio τ ext /(D/UB) was around 11, but with large scatter. The measurements provide useful information for validation of combustion models focusing on local and global extinction.
采用相位多普勒风速法、OH*化学发光法、OH平面激光诱导荧光法和5 kHz Mie散射法测量了乙醇、正庚烷、正癸烷和正十二烷在远离和接近吹灭条件下的旋流喷雾火焰的各种特性。还对吹脱瞬态进行了研究。OH*表明,两个主要的放热区位于内再循环区喷雾射流周围和内再循环区与环形空气射流之间的外剪切层。当火焰接近吹灭时,放热区域缩短且更加附着。Mie图像和相位多普勒风速测量数据显示,与其他燃料相比,乙醇喷雾的分散范围更广。在相同的流动条件下,四种燃料的Sauter平均直径的空间分布相似,Sauter平均直径值随着燃料挥发性的降低而增加,但乙醇喷雾的名义空心锥体中存在明显的液滴。oh平面激光诱导荧光测量结果表明,随着空气速度的增加,钝体的角部有间歇性的上升,平均上升高度减小,沿内火焰分支的消光较小,特别是对于较重的燃料。在吹灭条件下,两个火焰分支都出现了局部灭绝。吹灭过程是随着火焰大小的逐渐减小而进行的,与远离吹灭的条件相比,挥发性较低的燃料显示出更严重的火焰面积减小。根据面积积分OH*信号的演化计算,平均吹灭时间τ ext为几十毫秒,在所有研究条件下,比值τ ext /(D/UB)约为11,但散点较大。这些测量结果为验证聚焦于局部和全局灭绝的燃烧模型提供了有用的信息。
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引用次数: 27
Liquid jet breakup unsteadiness in a coaxial air-blast atomizer 同轴空气射流雾化器中液体射流破裂的不稳定性
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-03-22 DOI: 10.1177/1756827718760905
Abhijeet Kumar, S. Sahu
The aim of this paper is to experimentally characterize the liquid jet breakup unsteadiness in a coaxial air-blast atomizer. The current research focuses on the measurement of the fluctuations of the jet breakup length and the flapping instability of the liquid jet, which contribute to the downstream fluctuations of the spray characteristics. The optical connectivity technique was used to measure the instantaneous breakup length of the water jet. Also, time resolved shadowgraph images of the primary jet breakup process were captured by high-speed imaging to characterize the jet instabilities at different axial locations from the atomizer exit. Experiments were performed for a wide range of air-to-liquid momentum flux ratio (M) and aerodynamic Weber number (Weg) corresponding to membrane- and/or fiber breakup mode of the jet disintegration process. The mean jet breakup length was found to vary inversely with M through a power law relation in agreement with the literature, while the breakup length fluctuations were found to first decrease and then increase with M. In order to capture the unsteady dynamics of the jet breakup process, the proper orthogonal decomposition analysis of the optical connectivity images was performed. The jet flapping and the fluctuations of the jet breakup length were identified as the second and the third spatial proper orthogonal decomposition modes, respectively, for all operating conditions of the atomizer. The amplitude and the frequency of the instabilities were measured by temporal tracking of the liquid–air interface on the shadowgraph images. The disturbance close to the injector exit corresponds to the Kelvin–Helmholtz instability, while close to the jet breakup point the jet exhibits the flapping instability, which is characterized by lateral oscillation of the jet about the atomizer axis. The influence of the liquid jet Reynolds number and momentum flux ratio on the KH and the flapping instabilities are examined.
本文的目的是通过实验表征同轴空气喷射雾化器内液体射流破碎的非定常。目前的研究重点是测量射流破碎长度的波动和液体射流的扑动不稳定性,它们导致了射流特性的下游波动。利用光连通性技术测量了水射流的瞬时破裂长度。此外,利用高速成像技术捕获了一次射流破碎过程的时间分辨阴影图像,以表征喷嘴出口不同轴向位置的射流不稳定性。对射流解体过程中膜和/或纤维破碎模式对应的气液动量通量比(M)和气动韦伯数(Weg)进行了大范围的实验。平均射流破碎长度随M的变化呈幂律关系,与文献一致,而射流破碎长度波动随M先减小后增大。为了捕捉射流破碎过程的非定常动力学,对光学连接图像进行了适当的正交分解分析。在雾化器的所有工况下,射流扑动和射流破碎长度波动分别被确定为第二和第三空间固有正交分解模式。利用阴影图像对液气界面进行时域跟踪,测量了不稳定性的幅度和频率。在喷油器出口附近的扰动对应于开尔文-亥姆霍兹不稳定性,而在射流破裂点附近的扰动表现为扑动不稳定性,其特征是射流围绕雾化器轴的横向振荡。研究了液体射流雷诺数和动量通量比对KH和扑动不稳定性的影响。
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引用次数: 29
Cycle-by-cycle variations in autonomous and spark assisted homogeneous charge compression ignition combustion of stoichiometric air–fuel mixture 化学计量空气-燃料混合物的自主和火花辅助均匀充气压缩点火燃烧中的逐循环变化
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-03-16 DOI: 10.1177/1756827718763564
J. Hunicz
This study investigates cycle-by-cycle variations in a gasoline fuelled, homogeneous charge compression ignition (HCCI) engine with internal exhaust gas recirculation. In order to study the effects of exhaust-fuel reactions occurring prior to the main combustion event fuel was injected directly into the cylinder at two selected timings during the negative valve overlap period. The engine was operated as both autonomous HCCI and spark assisted HCCI (SA-HCCI). The primary interest in this work was the operating region where the engine is switched between HCCI and spark ignition modes, thus operation with stoichiometric air–fuel mixture, which is typical for this region, was considered. Cycle-by-cycle variations in both combustion timing and indicated mean effective pressure (IMEP) were investigated. It was found that long-period oscillations of the IMEP occur when fuel injection is started at early stages of the negative valve overlap period, and that these can be suppressed by delaying the start of injection. This behaviour remained even when fuel injection was split into early and late-negative valve overlap injections. Spark assisted operation allowed eliminating late combustion cycles, thus improving thermal efficiency. However, characteristic patterns of IMEP variations were found to be the same for both HCCI and SA-HCCI operations, irrespective of the adopted negative valve overlap fuel injection strategy, as evidenced by using symbol-sequence statistics.
本研究调查了一个汽油燃料,均匀装药压缩点火(HCCI)发动机的循环变化与内部废气再循环。为了研究发生在主燃烧事件之前的废气-燃料反应的影响,在负气门重叠期间,在两个选定的时间将燃料直接注入气缸。发动机同时作为自主HCCI和火花辅助HCCI (SA-HCCI)运行。这项工作的主要兴趣是发动机在HCCI和火花点火模式之间切换的操作区域,因此考虑了该区域典型的化学计量空气-燃料混合物操作。研究了燃烧时间和指示平均有效压力(IMEP)的循环变化。研究发现,当在负阀重叠期的早期开始燃油喷射时,IMEP会出现长周期振荡,这些振荡可以通过延迟喷射开始来抑制。即使燃油喷射分为早负和晚负阀重叠喷射,这种行为仍然存在。火花辅助操作允许消除后期燃烧循环,从而提高热效率。然而,无论采用负阀重叠燃油喷射策略,HCCI和SA-HCCI操作的IMEP变化特征模式都是相同的,这一点通过符号序列统计得到了证明。
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引用次数: 10
Common features in the thermoacoustics of flames and engines 火焰和发动机热声学的共同特征
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-03-01 DOI: 10.1177/1756827717743911
C. Lawn, G. Penelet
Thermoacoustic phenomena generated inadvertently during combustion, and those produced by heating and cooling material to generate a temperature gradient, have mostly been studied independently. Indeed, researchers of one phenomenon are seldom familiar with the literature on the other. This paper seeks to remedy this by reviewing the two subjects alongside one another, by comparing and contrasting them where possible. There is a brief account of the historically important papers in the development of both subjects, followed by a description of the nature of the phenomena. A selective number of papers is called upon to illustrate these principles. Techniques for handling the pure acoustics in the two subjects are addressed, before an outline is given of the modelling of the two thermoacoustic systems. Non-linear phenomena in the two systems are then explored. Finally, methods of ‘control’, of changing the system characteristics, are briefly discussed.
在燃烧过程中无意中产生的热声现象,以及通过加热和冷却材料产生温度梯度产生的热声现象,大多是独立研究的。事实上,研究一种现象的研究人员很少熟悉另一种现象的文献。本文试图纠正这一点,通过审查两个科目并排,通过比较和对比他们在可能的地方。本文简要介绍了这两个学科发展过程中具有历史意义的重要论文,然后描述了这些现象的本质。有选择地引用一些论文来说明这些原则。在给出两个热声系统的建模大纲之前,讨论了处理这两个主题的纯声学的技术。然后探讨了这两个系统中的非线性现象。最后,简要讨论了改变系统特性的“控制”方法。
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引用次数: 20
Dynamic responses of anchored ducted flames to harmonic velocity forcing 锚定导管火焰对谐波速度强迫的动力响应
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-03-01 DOI: 10.1177/1756827717735301
Ze-tian Ren, Suhui Li, Min Zhu
This paper aims at developing a computationally inexpensive method to investigate the premixed flame instabilities. The kinematic G-equation is combined with a two-dimensional discrete vortex method, and the conformal mapping is applied to make calculations for complicated geometries more efficiently. The vortex dynamics and flame response to harmonic velocity forcing of an anchored ducted V-flame are investigated, and the effects of harmonic forcing, Reynolds number, and bluff body geometry are examined. Results show that the vortex structures, flow instability, and flame response are closely coupled with each other. The unsteady vortex structures generate instabilities at the flame base, and the convection of the flame wrinkles then influences the flame dynamics downstream. The flame heat release fluctuates with larger amplitude under low-frequency forcings, while the phase of the flame transfer function is quasi-linear with increasing forcing frequency. Both higher inflow velocity and sharper bluff body corners can result in more unsteady large-scale vortex structures and hence influence the flame responses.
本文旨在发展一种计算成本较低的方法来研究预混火焰的不稳定性。将运动学g方程与二维离散涡法相结合,采用保角映射,使复杂几何图形的计算更加高效。研究了锚定导管v型火焰在谐波速度力作用下的涡流动力学和火焰响应,并考察了谐波力、雷诺数和钝体几何形状对火焰的影响。结果表明,涡流结构、流动不稳定性和火焰响应三者之间存在着密切的耦合关系。非定常涡结构在火焰底部产生不稳定,火焰褶皱的对流影响下游的火焰动力学。低频强迫下火焰放热波动幅度较大,随强迫频率增加火焰传递函数相位呈拟线性。更高的入流速度和更陡的钝体角会导致更不稳定的大尺度涡结构,从而影响火焰响应。
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引用次数: 0
Light sheet fluorescence microscopic imaging for high-resolution visualization of spray dynamics 用于喷雾动力学高分辨率可视化的光片荧光显微成像
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2018-03-01 DOI: 10.1177/1756827717734078
E. Berrocal, E. Kristensson, L. Zigan
In this study, the use of light sheet fluorescence microscopic imaging is demonstrated for viewing the dynamic of atomizing sprays with high contrast and resolution. The technique presents several advantages. First, liquid fluorescence gives a more faithful representation of the structure of liquid bodies, droplets, and ligaments than Mie scattering does. The reason for this is that the signal is emitted by the fluorescing dye molecules inside the liquid itself and not generated at the air–liquid interfaces. Second, despite the short depth of field (∼200 µm) obtained when using the long range microscope, the contribution of out-of-focus light is much smaller on a light sheet configuration than for line-of-sight detection, thus providing more clearly sectioned images. Finally, by positioning the light sheet on the spray periphery, toward the camera objective, the effects due to multiple light scattering phenomena can be reduced to some extent. All these features provide, for many spray situations, good fidelity images of the liquid fluid, allowing the extraction of the velocity vectors at the liquid boundaries. Here, double frame images were recorded with a sCMOS camera with a time delay of 5 µs between exposures. A typical pressure-swirl atomizer is used producing a water hollow-cone spray, which was imaged in the near-nozzle region and further downstream for injection pressures between 20 bar and 100 bar. Furthermore, near-nozzle spray shape visualization of a direct-injection spark ignition injector was conducted, describing the disintegration of the liquid fuel and droplet formation. Such data are important for the validation of computational fluid dynamics models simulating liquid breakups in the near-field spray region.
在这项研究中,演示了使用光片荧光显微成像以高对比度和分辨率观察雾化喷雾的动态。这项技术有几个优点。首先,液体荧光比Mie散射更忠实地表示了液体、液滴和韧带的结构。原因是信号是由液体内部的荧光染料分子发出的,而不是在空气-液体界面产生的。其次,尽管景深很短(~200 µm),离焦光在光片配置上的贡献比视线检测小得多,从而提供更清晰的切片图像。最后,通过将光片定位在喷雾周边上,朝向相机物镜,可以在一定程度上减少由多种光散射现象引起的影响。对于许多喷雾情况,所有这些特征都提供了液体流体的高保真度图像,从而允许提取液体边界处的速度矢量。这里,双帧图像是用sCMOS相机以5的时间延迟记录的 两次曝光之间的µs。使用典型的压力旋流雾化器产生空心锥形水喷雾,该喷雾在喷嘴附近区域和下游进行成像,喷射压力在20 bar和100 酒吧此外,对直接喷射火花点火式喷油器的近喷嘴喷雾形状进行了可视化,描述了液体燃料的分解和液滴的形成。这些数据对于验证模拟近场喷雾区域中液体破碎的计算流体动力学模型是重要的。
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引用次数: 12
期刊
International Journal of Spray and Combustion Dynamics
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