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Measurements for Characteristics of Turbulence over a Streamwise Preferential Porous Substrate 测量流向优选多孔基质上的湍流特性
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2023-10-06 DOI: 10.1007/s10494-023-00493-4
Mahiro Morimoto, Ryoma Aoki, Yusuke Kuwata, Kazuhiko Suga

To investigate the turbulence characteristics over a streamwise-preferential porous substrate, we design a layered porous medium that satisfies the turbulent drag-reducing conditions suggested by the direct numerical simulation (DNS) of Gómez-de Segura and García-Mayoral (J Fluid Mech 875:124–172, 2019). Planar particle image velocimetry (PIV) measurements are carried out for fully developed turbulent flows over substrates made of the layered porous medium. Two (square duct and two-dimensional channel) flow cases are considered. Streamwise-wall-normal plane measurements are performed at the bulk Reynolds numbers (Re_b=)5000–15000 for the square duct flows. The measurement data indicate that with the drag-reducing conditions, which are suggested by the DNS, turbulence over the porous substrate is suppressed to a similar level to that near a solid smooth wall. For further discussion, we then carry out another PIV campaign for channel flows. With streamwise-wall-normal and streamwise-spanwise plane measurements of channel flows at (Re_b=)3000–15000, it is observed that the turbulence level near the porous medium is more significant than that near the solid wall. To investigate why turbulence over the layered porous medium behaves unlike in the DNS, we analyse the data comparing with our previously studied porous medium turbulence. With the spanwise streak distributions and quadrant analyses, their similarity and dissimilarity of turbulence structures are discussed.

为了研究流向优选多孔基底上的湍流特性,我们设计了一种分层多孔介质,该介质满足 Gómez-de Segura 和 García-Mayoral 的直接数值模拟 (DNS) 提出的减少湍流阻力条件(J Fluid Mech 875:124-172, 2019)。平面粒子图像测速仪(PIV)测量了由层状多孔介质构成的基底上完全发展的湍流。考虑了两种(方形管道和二维通道)流动情况。对于方形管道流,在体积雷诺数(Re_b=)5000-15000 时进行了流线-壁面-法向平面测量。测量数据表明,在 DNS 建议的减阻条件下,多孔基底上的湍流被抑制到与实心光滑壁附近的湍流相似的水平。为了进一步讨论,我们随后对通道流进行了另一次 PIV 试验。通过在 (Re_b=)3000-15000 条件下对通道流进行流向-壁面-法线和流向-跨度平面测量,可以观察到多孔介质附近的湍流水平比实体壁面附近的湍流水平更为显著。为了研究分层多孔介质上的湍流与 DNS 中的湍流表现不同的原因,我们将数据与之前研究的多孔介质湍流进行了对比分析。通过跨度条纹分布和象限分析,讨论了湍流结构的异同。
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引用次数: 0
Investigating 3-D Effects on Flashing Cryogenic Jets with Highly Resolved LES 利用高分辨率 LES 研究闪光低温喷流的三维效应
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-28 DOI: 10.1007/s10494-023-00485-4
Jan Wilhelm Gärtner, Andreas Kronenburg, Andreas Rees, Michael Oschwald

For the development of upper stage rocket engines with laser ignition, the transition of oxidizer and fuel from the pure cryogenic liquid streams to an ignitable mixture needs to be better understood. Due to the near vacuum conditions that are present at high altitudes and in space, the injected fuel rapidly atomizes in a so-called flash boiling process. To investigate the behavior of flashing cryogenic jets under the relevant conditions, experiments of liquid nitrogen have been performed at the DLR Lampoldshausen. The experiments are accompanied by a series of computer simulations and here we use a highly resolved LES to identify 3D effects and to better interpret results from the experiments and existing 2D RANS. It is observed that the vapor generation inside the injector and the evolution of the spray in the combustion chamber differ significantly between the two simulation types due to missing 3D effects and the difference in resolution of turbulent structures. Still, the observed 3D spray dynamics suggest a suitable location for laser ignition that could be found in regions of relative low velocity and therefore expected low strain rates. Further, measured droplet velocities are compared to the velocities of notional Lagrangian particles with similar inertia as the measured droplets. Good agreement between experiments and simulations exists and strong correlation between droplet size and velocity can be demonstrated.

为了开发采用激光点火的火箭末级发动机,需要更好地了解氧化剂和燃料从纯低温液流到可点燃混合物的转变过程。由于高空和太空中的条件接近真空,注入的燃料会在所谓的闪沸过程中迅速雾化。为了研究在相关条件下闪烁低温喷流的行为,在兰波尔德豪森德国航天中心(DLR Lampoldshausen)进行了液氮实验。实验伴随着一系列计算机模拟,在此我们使用高分辨率的 LES 来识别三维效应,并更好地解释实验结果和现有的二维 RANS 结果。我们观察到,由于三维效应缺失和湍流结构分辨率不同,两种模拟类型在喷射器内的蒸汽生成和燃烧室内的喷雾演变之间存在显著差异。不过,观察到的三维喷雾动态表明,激光点火的合适位置可能在速度相对较低的区域,因此预计应变率也较低。此外,还将测得的液滴速度与惯性与测得液滴相似的拉格朗日粒子的速度进行了比较。实验与模拟之间存在良好的一致性,液滴大小与速度之间存在很强的相关性。
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引用次数: 0
The Influence of Boundary Conditions on Three-Dimensional Large Eddy Simulations of Calorically Perfect Gas Detonations 边界条件对热量完美气体爆破三维大涡流模拟的影响
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-26 DOI: 10.1007/s10494-023-00491-6
Brian Maxwell, Wei Hao Wang

In this work, we revisit the application of the compressible linear eddy model for large eddy simulation (CLEM-LES) of calorically perfect gas detonations in an attempt to clarify if the Kolmogorov number can be treated as a constant instead of a tuning parameter when no-slip boundary conditions are included in three-dimensional simulations. In its early development, the CLEM-LES with a one-step combustion chemistry model was used to simulate two-dimensional methane-oxygen detonations to gain insight on the roles and impact of turbulent mixing rates on the presence of unburned pockets of reactive gas and cellular structure. In these past simulations, special treatment of the boundary conditions was not considered, and therefore wave speeds always recovered the Chapman-Jouguet (CJ)-velocity. Moreover, tuning of the Kolmogorov number was required in order to qualitatively capture the experimentally observed flow fields. In this work we carefully perform three-dimensional simulations of detonation propagation using the CLEM-LES, and include no-slip walls as boundary conditions. Also, instead of tuning the Kolmogorov number to obtain the correct cell size, as was done in the past, we instead use a standard value of 1.5. We found that by carefully specifying the boundary conditions, and treating the Kolmogorov as a constant (thus no model calibration), both the expected propagation velocity deficit and cellular structure are recovered. Finally, upon constructing the resulting energy spectrum, we found that the kinetic energy cascade follows the well-known −5/3 power law description of incompressible turbulence in the inertial subrange, but was not symmetric nor isotropic.

在这项工作中,我们重新审视了热量完全气体爆轰的可压缩线性漩涡模型大漩涡模拟(CLEM-LES)的应用,试图弄清在三维模拟中包含无滑动边界条件时,是否可以将科尔莫哥罗夫数视为常数而不是调节参数。在早期开发阶段,CLEM-LES 与一步燃烧化学模型被用于模拟二维甲烷-氧气爆燃,以深入了解湍流混合率对未燃烧反应气体袋和蜂窝结构的作用和影响。在过去的模拟中,没有考虑对边界条件进行特殊处理,因此波速总是恢复查普曼-朱盖特(CJ)速度。此外,为了定性地捕捉实验观察到的流场,还需要调整科尔莫哥罗夫数。在这项工作中,我们使用 CLEM-LES 仔细地对爆炸传播进行了三维模拟,并将无滑动壁作为边界条件。此外,我们没有像过去那样通过调整 Kolmogorov 数来获得正确的单元大小,而是采用了 1.5 的标准值。我们发现,通过仔细指定边界条件,并将 Kolmogorov 视为常数(因此无需校准模型),就能恢复预期的传播速度赤字和细胞结构。最后,在构建所得到的能谱时,我们发现动能级联遵循了众所周知的惯性子范围内不可压缩湍流的-5/3幂律描述,但并不对称,也不是各向同性的。
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引用次数: 0
Influence of Ridge Spacing, Ridge Width, and Reynolds Number on Secondary Currents in Turbulent Channel Flow Over Triangular Ridges 三角栅间距、栅宽和雷诺数对三角形栅上湍流通道次生流的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-26 DOI: 10.1007/s10494-023-00488-1
Oleksandr Zhdanov, Thomas O. Jelly, Angela Busse

Most studies of secondary currents (SCs) over streamwise aligned ridges have been performed for rectangular ridge cross-sections. In this study, secondary currents above triangular ridges are systematically studied using direct numerical simulations of turbulent channel flow. The influence of ridge spacing on flow topology, mean flow, and turbulence statistics is investigated at two friction Reynolds numbers, 550 and 1000. In addition, the effects of ridge width on SCs, which have not previously been considered for this ridge shape, are explored. The influence of SCs on shear stress statistics increases with increased ridge spacing until SCs fill the entire channel. One of the primary findings is that, for ridge configurations with pronounced secondary currents, shear stress statistics exhibit clear Reynolds number sensitivity with a significant growth of dispersive shear stress levels with Reynolds number. In contrast to rectangular ridges, no above-ridge tertiary flows are observed for the tested range of ridge widths. Flow visualisations of SCs reveal the existence of corner vortices that form at the intersection of the lateral ridge sides and the smooth-wall sections. These are found to gradually disappear as ridges increase in width. Premultiplied spectra of streamwise velocity fluctuations show strong dependency on the spanwise sampling location. Whereas spanwise averaged spectra show no strong modifications by SCs, a significant increase of energy levels emerges at higher wavelengths for spectra sampled at the spanwise locations that correspond to the centres of the secondary currents.

关于流向一致的山脊上的次级水流(SC)的大多数研究都是针对矩形山脊横截面进行的。本研究采用直接数值模拟湍流通道流的方法,系统地研究了三角脊上的次生流。在两种摩擦雷诺数(550 和 1000)条件下,研究了脊间距对流动拓扑、平均流和湍流统计的影响。此外,还探讨了脊宽对剪切力的影响,以前从未考虑过这种脊形。SC 对剪应力统计的影响随着脊间距的增加而增加,直到 SC 填满整个通道。主要发现之一是,对于具有明显次级流的海脊配置,剪应力统计对雷诺数具有明显的敏感性,分散剪应力水平随雷诺数的增加而显著增加。与矩形海脊相反,在测试的海脊宽度范围内,没有观察到海脊上方的三次流。SC 的流动可视化显示,在横向脊边和光滑壁部分的交汇处存在角涡流。这些旋涡会随着山脊宽度的增加而逐渐消失。流向速度波动的预乘法频谱显示出与跨度取样位置的强烈相关性。虽然跨向平均频谱没有显示出 SC 的强烈变化,但在与次级流中心相对应的跨向位置采样的频谱,在较高波长处出现了明显的能级增加。
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引用次数: 0
Numerical Investigation on the Head-on Quenching (HoQ) of Laminar Premixed Lean to Stoichiometric Ammonia–Hydrogen-Air Flames 关于层流预混合稀薄至稳定氨氢空气火焰迎面淬火 (HoQ) 的数值研究
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-20 DOI: 10.1007/s10494-023-00489-0
Chunkan Yu, Liming Cai, Cheng Chi, Syed Mashruk, Agustin Valera-Medina, Ulrich Maas

The Head-on Quenching (HoQ) of laminar premixed ammonia–hydrogen-air flames under lean to stoichiometric condition is numerical investigated. Detailed chemistry including 34 reactive species and detailed multi-component transport model including thermal diffusion (Soret effect) are applied. The quenching distance is considered as a representative quantity for the HoQ process, and the influence of different system parameters on it has been investigated. These parameters involve fuel/air equivalence ratios, hydrogen content in gas mixture and pressure. It was found that an increase of quenching distance can be caused by a lower hydrogen addition and a leaner mixture condition. Furthermore, it was found that, regardless of the gas mixture, the quenching distance decreases monotonically with increasing pressure, obeying a power function with the exponent (-) 0.7. Moreover, numerical results show a relation between the quenching Peclet number and the dimensionless wall heat flux normalized by the flame power. Additionally, sensitivities of quenching distances with respect to the transport model, considering the heat loss in the wall and the chemical kinetics are studied.

数值研究了贫油到化学计量条件下层状预混合氨-氢-空气火焰的迎面淬火(HoQ)。应用了包括 34 种活性物种在内的详细化学和包括热扩散(索雷特效应)在内的详细多组分传输模型。淬火距离被视为 HoQ 过程的代表量,研究了不同系统参数对其的影响。这些参数包括燃料/空气当量比、混合气体中的氢含量和压力。研究发现,较低的氢气添加量和较稀的混合气条件会导致淬火距离的增加。此外,研究还发现,无论混合气体的情况如何,淬火距离都会随着压力的增加而单调减小,服从指数为 0.7 的幂函数。此外,数值结果表明,淬火佩克莱特数与按火焰功率归一化的无量纲壁热通量之间存在关系。此外,考虑到壁面热损失和化学动力学,还研究了淬火距离对传输模型的敏感性。
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引用次数: 0
Effects of Synthetic Jets on Swirl Inflow in a Variable-Geometry Twin Air-Intake 合成射流对可变几何双进气口漩涡气流的影响
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-20 DOI: 10.1007/s10494-023-00481-8
Krishna Kumar Rajnath Yadav, Akshoy Ranjan Paul, Anuj Jain, Firoz Alam

Air intakes are an integral part of contemporary passenger and military aircraft engines. Their impact on aerodynamic performance across the entire flight envelope is critical to aircraft flight safety, efficiency, and manoeuvrability, especially at high Mach numbers due to shock waves. The high demand for reductions in aircraft weight and size and enhancements in durability, comfort, and thermal and radar signatures compel researchers and engineers to explore new designs and develop efficient air intakes for high-performance aircraft engines. Although a number of studies on air intake have been conducted and reported in the open literature, there is little information available in the public domain on bifurcated twin air intakes using synthetic jet. As a result, the primary goal of this research is to use computational fluid dynamics modelling to investigate the effects of synthetic jets on swirl inflow variable geometry twin air intake aerodynamic performance over a range of Reynolds numbers. Some important parameters (distortion coefficient, non-uniformity index, swirl coefficient, and static and total pressure coefficients) were investigated. Both static and total pressure recovery have been increased at all swirl numbers. A significant decrease in distortion coefficient and swirl coefficient has also been achieved, reaching a 53% reduction in the distortion coefficient and a 62% reduction in the swirl coefficient. The reduction in the non-uniformity index is achieved by 62% for the controlled flow case. The findings show that synthetic jets are effective in controlling the flow separation in the twin air intakes and enhancing aerodynamic performance.

进气口是当代客机和军用飞机发动机不可分割的一部分。进气口对整个飞行包线内的空气动力性能的影响对飞机的飞行安全、效率和机动性至关重要,特别是在高马赫数情况下的冲击波。对减轻飞机重量和尺寸以及提高耐用性、舒适性、热信号和雷达信号的高要求迫使研究人员和工程师探索新的设计,并为高性能飞机发动机开发高效的进气口。尽管公开文献中已对进气道进行了大量研究和报道,但关于使用合成喷气的分叉双进气道的公开信息却很少。因此,本研究的主要目标是使用计算流体动力学建模来研究合成喷流在雷诺数范围内对漩涡流入可变几何形状双进气口气动性能的影响。对一些重要参数(变形系数、不均匀指数、漩涡系数以及静压和总压系数)进行了研究。在所有漩涡数下,静压和总压恢复系数都有所增加。变形系数和漩涡系数也大幅降低,变形系数降低了 53%,漩涡系数降低了 62%。在流量受控的情况下,不均匀指数降低了 62%。研究结果表明,合成射流能有效控制双进气口的气流分离,提高空气动力性能。
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引用次数: 0
Flame Front Dynamics in Flow of Hydrogen-Air Mixture in a Channel with Sudden Expansion and Polyurethane Foam 氢气-空气混合物在带有骤然膨胀和聚氨酯泡沫的通道中流动时的火焰前沿动力学
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-20 DOI: 10.1007/s10494-023-00490-7
Sergey Golovastov, Grigory Bivol, Fyodor Kuleshov, Artem Elyanov, Victor Golub

This paper presents experimental investigations of the polyurethane foam influence on the combustion dynamics of hydrogen-air flames propagating in a channel with a sudden change in cross-section (i.e. expansion). The channel is open at both ends. Porous media of various lengths and pore size are considered. The porous inserts are placed downstream of the sudden expansion, inside the diagnostic section of dimensions 20 × 40 mm. A Schlieren visualization technique is used to monitor flame shape and propagation dynamics. Various equivalence ratios ranging from 0.3 to 1.0 are tested. The results show that depending on the equivalence ratio, porous length and pore size, the mixture can either propagate throughout the foam or be quenched. In propagating regime, it is found that the output velocity just behind the foam increases linearly with porous matrix length, indicating that the tortuous flow within the foam plays a significant role in the propagation of the flame. These results could be used both to increase the efficiency of gaseous combustion and to ensure the explosion safety of the gas equipment.

本文介绍了聚氨酯泡沫对在横截面突然变化(即膨胀)的通道中传播的氢气-空气火焰燃烧动力学影响的实验研究。通道两端是开放的。考虑了不同长度和孔径的多孔介质。多孔插入物放置在突然膨胀的下游,尺寸为 20 × 40 毫米的诊断截面内。使用 Schlieren 可视化技术监测火焰形状和传播动态。测试了从 0.3 到 1.0 的各种等效比。结果表明,根据等效比、多孔长度和孔径的不同,混合物既可以在整个泡沫中传播,也可以被熄灭。在传播过程中,发现泡沫后面的输出速度随着多孔基质长度的增加而线性增加,这表明泡沫内部的迂回流动在火焰传播过程中起着重要作用。这些结果既可用于提高气体燃烧的效率,也可用于确保燃气设备的爆炸安全。
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引用次数: 0
Realisation of Fractal Grid-Induced Turbulence Strength with PTFV: Effects of Grid Geometry 利用 PTFV 实现分形网格引发的湍流强度:网格几何形状的影响
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-16 DOI: 10.1007/s10494-023-00480-9
Ted Sian Lee, Ean Hin Ooi, Wei Sea Chang, Ji Jinn Foo

The unravelling of multilength-scale insert-generated turbulence, particularly, the induced-forcing plays critical role in the fundamental comprehension of energy formation and decay as a function of grid conformation. This study experimentally investigates the flow mechanical characteristics at ReDh = 4.1 × 104 for a regular-grid (RG), single-square-grid (SSG) and six 2D planar space-filling square-fractal-grids (SFG) of different fractal iterations (N), thickness ratios (tr) and blockage ratios (σ) via piezoelectric thin-film flapping velocimetry (PTFV). Thin-film’s tip-deflection (δrms) and voltage response (Vrms) analysis along the grids’ centreline reveals increasing flow fluctuation strength with increasing σ, tr and decreasing N, owing to higher shedding intensity of lower frequency, larger scale energy-containing vortices from thicker first iteration bar. However, higher: energy dissipation rate, centreline mean velocity decrement rate and local deceleration experienced in the turbulence decay region of larger tr grid, along with additional fractal scales lead to less potent flow-structure-interplay on thin-film undulation. More importantly, SSG-generated turbulence enables the generation of average (Vrms, δrms) and millinewton turbulence forcing Frms that are respectively, 9× and 5× larger than RG of similar σ, and 2× larger than the best performing N = 3 SFG. Our findings disclose the importance of grid geometrical management for effective utilisation of turbulence-generating grids in engineering applications.

揭示多长尺度插入生成的湍流,特别是诱导强迫,对于从根本上理解能量形成和衰减与网格构象的函数关系起着至关重要的作用。本研究通过压电薄膜拍击测速仪(PTFV),实验研究了规则网格(RG)、单方格网格(SSG)和不同分形迭代(N)、厚度比(tr)和阻塞比(σ)的六个二维平面空间填充方形分形网格(SFG)在 ReDh = 4.1 × 104 条件下的流动力学特性。沿网格中心线进行的薄膜尖端偏转(δrms)和电压响应(Vrms)分析表明,随着σ、tr 的增大和 N 的减小,流动波动强度也会增大,这是因为较厚的第一迭代条上频率较低、尺度较大的含能涡旋的脱落强度较高。然而,在较大的 tr 网格的湍流衰减区域中,能量耗散率、中心线平均速度下降率和局部减速率较高,再加上额外的分形尺度,导致薄膜起伏上的流动-结构相互作用不那么强烈。更重要的是,SSG 产生的湍流能产生平均(Vrms、δrms)和毫牛顿湍流强迫 Frms,分别比相似 σ 的 RG 大 9 倍和 5 倍,比性能最好的 N = 3 SFG 大 2 倍。我们的研究结果揭示了网格几何管理对于在工程应用中有效利用湍流生成网格的重要性。
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引用次数: 0
Self-Induced Large-Scale Motions in a Three-Dimensional Diffuser 三维扩散器中的自诱发大规模运动
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-14 DOI: 10.1007/s10494-023-00483-6
Arnau Miró, Benet Eiximeno, Ivette Rodríguez, Oriol Lehmkuhl

A direct numerical simulation of a three-dimensional diffuser at Reynolds number Re = 10,000 (based on inlet bulk velocity) has been performed using a low-dissipation finite element code. The geometry chosen for this work is the Stanford diffuser, introduced by Cherry et al. (Int. J. Heat Fluid Flow 29:803–811, 2008). Results have been exhaustively compared with the published data with a quite good agreement. Additionally, further turbulent statistics have been provided such as the Reynolds stresses or the turbulent kinetic energy. A proper orthogonal decomposition and a dynamic mode decomposition analyses of the main flow variables have been performed to identify the main characteristics of the large-scale motions. A combined, self-induced movement of the large-scales has been found to originate in the top-right expansion corner with two clear features. A low-frequency diagonal cross-stream travelling wave first reported by Malm et al. (J. Fluid Mech. 699:320–351, 2012), has been clearly identified in the spatial modes of the stream-wise velocity components and the pressure, associated with the narrow band frequency of (St in [0.083,0.01]). This movement is caused by the geometrical expansion of the diffuser in the cross-stream direction. A second low-frequency trait has been identified associated with the persisting secondary flows and acting as a back and forth global accelerating-decelerating motion located on the straight area of the diffuser, with associated frequencies of (St < 0.005). The smallest frequency observed in this work has been (St = 0.0013). This low-frequency observed in the Stanford diffuser points out the need for longer simulations in order to obtain further turbulent statistics.

使用低耗散有限元代码对雷诺数 Re = 10,000 条件下的三维扩散器(基于入口体积速度)进行了直接数值模拟。这项工作选择的几何形状是 Cherry 等人介绍的斯坦福扩散器(Int. J. Heat Fluid Flow 29:803-811, 2008)。研究结果与已发表的数据进行了详尽的比较,两者吻合度相当高。此外,还提供了进一步的湍流统计数据,如雷诺应力或湍流动能。对主要流动变量进行了适当的正交分解和动态模式分解分析,以确定大尺度运动的主要特征。研究发现,大尺度的自诱导综合运动起源于右上角的膨胀角,有两个明显的特征。Malm 等人(J. Fluid Mech. 699:320-351,2012 年)首次报道了一种低频对角横流行波,并在与窄带频率(St in [0.083,0.01] )相关的流向速度分量和压力的空间模式中清楚地识别了这一行波。这种运动是由扩散器在横流方向上的几何膨胀引起的。第二种低频特征与持续的二次流有关,是位于扩散器直线区域的来回全局加速-减速运动,相关频率为(St < 0.005)。在这项工作中观察到的最小频率是(St = 0.0013)。在斯坦福扩散器中观察到的这种低频表明,需要进行更长时间的模拟,以获得更多的湍流统计数据。
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引用次数: 0
Correction Methods for Exchange Source Terms in Unstructured Euler-Lagrange Solvers with Point-Source Approximation 采用点源逼近的非结构化欧拉-拉格朗日求解器中交换源项的修正方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2023-09-12 DOI: 10.1007/s10494-023-00487-2
Thomas Lesaffre, Antoine Pestre, Eleonore Riber, Bénédicte Cuenot

This paper provides a preliminary study of two different methods to handle the limitations of the Lagrangian point-force approach in the context of unstructured LES solvers. Large deviations in mass, momentum, and energy exchanges between the gas and liquid phases may occur if the assumptions of the point-force approach are not verified. In particular, the point-force approach considers the particles to be subgrid-scale phenomena but the use of more and more refined grids for the carrier flow allowed by today’s computer power leads to cell sizes of the order or smaller than the particle diameters. Several methods are found in the literature to tackle this problem. However, they are usually suited for structured solvers. In the case of unstructured solvers handling several hundred thousand particles in unsteady flows, such methods are far too expensive. In this work, two original methods adapted for spray calculation in unstructured solvers are implemented and compared: the particle-bursting method, and the multigrid method. In this preliminary study, only the correction on the evaporation model is studied, with drag being neglected. Both methods greatly improve the accuracy of the evaporation model but only the multigrid method is independent of the Eulerian mesh refinement. The results presented show that the two methods are relevant to correct the evaporation source terms when the limits of the point-force model are reached. However, the study should be extended to consider the impact of the methods on the drag model calculation and the effects on the interaction with a reactive gaseous phase.

本文初步研究了在非结构化 LES 求解器中处理拉格朗日点力方法局限性的两种不同方法。如果不验证点力方法的假设,气相和液相之间的质量、动量和能量交换可能会出现较大偏差。特别是,点力方法认为粒子是亚网格尺度的现象,但在当今计算机能力允许的情况下,载流子流动使用的网格越来越精细,导致单元尺寸达到或小于粒子直径的数量级。文献中有几种方法可以解决这个问题。不过,这些方法通常适用于结构化求解器。对于在非稳定流中处理几十万个粒子的非结构化求解器来说,这些方法过于昂贵。在这项工作中,我们实施并比较了两种适用于非结构化求解器中喷雾计算的原始方法:粒子爆发法和多网格法。在这项初步研究中,只研究了对蒸发模型的修正,而忽略了阻力。两种方法都极大地提高了蒸发模型的精度,但只有多网格法与欧拉网格细化无关。研究结果表明,当达到点力模型的极限时,这两种方法都可以修正蒸发源项。不过,这项研究还应扩展到考虑这两种方法对阻力模型计算的影响,以及对与反应气相相互作用的影响。
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Flow, Turbulence and Combustion
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