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Structures of Laminar Lean Premixed H2/CH4/Air Polyhedral Flames: Effects of Flow Velocity, H2 Content and Equivalence Ratio 层流精益预混合 H2/CH4/Air 多面体火焰的结构:流速、H2 含量和当量比的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-06-25 DOI: 10.1007/s10494-024-00561-3
Shuguo Shi, Adrian Breicher, Robin Schultheis, Sandra Hartl, Robert S. Barlow, Dirk Geyer, Andreas Dreizler

Polyhedral Bunsen flames, induced by hydrodynamic and thermo-diffusive instabilities, are characterized by periodic trough and cusp cellular structures along the conical flame front. In this study, the effects of flow velocity, hydrogen content, and equivalence ratio on the internal cellular structure of premixed fuel-lean hydrogen/methane/air polyhedral flames are experimentally investigated. A high-spatial-resolution one-dimensional Raman/Rayleigh scattering system is employed to measure the internal scalar structures of polyhedral flames in troughs and cusps. Planar laser-induced fluorescence of hydroxyl radicals and chemiluminescence imaging measurements are used to quantify the flame front morphology. In the experiments, stationary polyhedral flames with varying flow velocities from 1.65 to 2.50 m/s, hydrogen contents from 50 to 83%, and equivalence ratios from 0.53 to 0.64 are selected and measured. The results indicate that the positively curved troughs exhibit significantly higher hydrogen mole fractions and local equivalence ratios compared to the negatively curved cusps, due to the respective focusing/defocusing effect of trough/cusp structure on highly diffusive hydrogen. The hydrogen mole fraction and local equivalence ratio differences between troughs and cusps are first increased and then decreased with increasing measurement height from 5 to 13 mm, due to the three-dimensional effect of the flame front. With increasing flow velocity from 1.65 to 2.50 m/s, the hydrogen mole fraction and local equivalence ratio differences between troughs and cusps decrease, which is attributed to the overall decreasing curvatures in troughs and cusps due to the decreased residence time and increased velocity-induced strain. With increasing hydrogen content from 50 to 83%, the hydrogen mole fraction and local equivalence ratio differences between troughs and cusps are amplified, due to the enhanced effects of the flame front curvature and the differential diffusion of hydrogen. With increasing equivalence ratio from 0.53 to 0.64, a clear increasing trend in hydrogen mole fraction and equivalence ratio differences between troughs and cusps is observed at constant flow velocity condition, which is a trade-off result between increasing effective Lewis number and increasing curvatures in troughs and cusps.

由流体动力和热扩散不稳定性诱发的多面体本生焰的特征是沿锥形火焰前沿的周期性波谷和尖顶蜂窝结构。本研究通过实验研究了流速、氢含量和当量比对预混合燃料-贫氢/甲烷/空气多面体火焰内部蜂窝结构的影响。采用高空间分辨率一维拉曼/瑞利散射系统测量了多面体火焰在槽和尖的内部标量结构。羟基自由基的平面激光诱导荧光和化学发光成像测量用于量化火焰前沿形态。在实验中,选择并测量了不同流速(1.65 至 2.50 米/秒)、氢含量(50 至 83%)和当量比(0.53 至 0.64)的静止多面体火焰。结果表明,与负弯曲的尖角相比,正弯曲的波谷显示出明显更高的氢分子分数和局部当量比,这是由于波谷/尖角结构对高扩散氢分别具有聚焦/去聚焦效应。由于火焰前沿的三维效应,随着测量高度从 5 毫米增加到 13 毫米,波谷和尖顶之间的氢分子分数和局部当量比差异先增大后减小。随着流速从 1.65 m/s 增加到 2.50 m/s,波谷和尖顶之间的氢分子分数和局部等效比差异减小,这是由于停留时间减少和速度引起的应变增加导致波谷和尖顶的整体曲率减小。随着氢含量从 50% 增加到 83%,由于火焰前沿曲率和氢的差异扩散效应增强,波谷和尖顶之间的氢分子分数和局部当量比差异扩大。随着等效比从 0.53 增加到 0.64,在恒定流速条件下观察到氢分子分数和波谷与尖顶之间的等效比差异有明显的增加趋势,这是有效路易斯数增加与波谷和尖顶曲率增加之间的权衡结果。
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引用次数: 0
Progress in Flow Control and Drag Reduction 流量控制和减阻方面的进展
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-06-05 DOI: 10.1007/s10494-024-00557-z
Kwing-So Choi, Davide Gatti, Iraj Mortazavi
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引用次数: 0
Low Cost Recurrent and Asymptotically Unbiased Estimators of Statistical Uncertainty on Averaged Fields for DNS and LES 用于 DNS 和 LES 的平均场统计不确定性的低成本重复和渐近无偏估计器
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-29 DOI: 10.1007/s10494-024-00556-0
Margaux Boxho, Thomas Toulorge, Michel Rasquin, Grégory Dergham, Koen Hillewaert

In the context of fundamental flow studies, experimental databases are expected to provide uncertainty margins on the measured quantities. With the rapid increase in available computational power and the development of high-resolution fluid simulation techniques, Direct Numerical Simulation and Large Eddy Simulation are increasingly used in synergy with experiments to provide a complementary view. Moreover, they can access statistical moments of the flow variables for the development, calibration, and validation of turbulence models. In this context, the quantification of statistical errors is also essential for numerical studies. Reliable estimation of these errors poses two challenges. The first challenge is the very large amount of data: the simulation can provide a large number of quantities of interest (typically about 180 quantities) over the entire domain (typically 100 million to 10 billion of degrees of freedom per equation). Ideally, one would like to quantify the error for each quantity at any point in the flow field. However, storing a long-term sequence of signals from many quantities over the entire domain for a posteriori evaluation is prohibitively expensive. The second challenge is the short time step required to resolve turbulent flows with DNS and LES. As a direct consequence, consecutive samples within the time series are highly correlated. To overcome both challenges, a novel economical co-processing approach to estimate statistical errors is proposed, based on a recursive formula and the rolling storage of short-time signals.

在基本流动研究中,实验数据库有望提供测量量的不确定性余量。随着可用计算能力的快速增长和高分辨率流体模拟技术的发展,直接数值模拟和大涡流模拟正越来越多地与实验协同使用,以提供互补的视角。此外,它们还可以获取流动变量的统计矩,用于湍流模型的开发、校准和验证。在这种情况下,统计误差的量化对数值研究也至关重要。这些误差的可靠估算面临两个挑战。第一个挑战是数据量非常大:模拟可以在整个域(每个方程通常有 1 亿至 100 亿个自由度)内提供大量相关量(通常约 180 个量)。理想情况下,我们希望量化流场中任意点的每个量的误差。然而,在整个域中存储来自许多量的长期信号序列以进行后验评估的成本过高。第二个挑战是 DNS 和 LES 解决湍流问题所需的时间步长较短。其直接后果是,时间序列中的连续样本高度相关。为了克服这两项挑战,我们提出了一种新颖、经济的协同处理方法,基于递归公式和短时间信号的滚动存储来估算统计误差。
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引用次数: 0
Modelling the Flow Conditions and Primary Atomization of an Air-Core-Liquid-Ring (ACLR) Atomizer Using a Coupled Eulerian–Lagrangian Approach 利用欧拉-拉格朗日耦合方法模拟气芯液环(ACLR)雾化器的流动条件和一次雾化过程
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-28 DOI: 10.1007/s10494-024-00555-1
Miguel Ángel Ballesteros Martínez, Deisy Becerra, Volker Gaukel

The Air-Core-Liquid-Ring atomizer is a pioneering internal-mixing pneumatic atomization technique designed for energy-efficient spray drying of highly viscous liquid feeds with substantial solid contents. However, it can suffer internal flow instabilities, which may lead to spray droplets with a wide variation in diameter. Experimental investigation of how flow conditions mechanistically determine the resulting droplet sizes is hindered by high velocities near the nozzle outlet. Therefore, this study addressed the issue by implementing a numerical model, employing a coupled Eulerian-Lagrangian approach with adaptive mesh refinement, to simulate the breakup of the liquid into ligaments and droplets. Additionally, Large Eddy Simulation was incorporated to replicate turbulent flow conditions observed in experiments. The numerical model demonstrated significant improvement in predicting liquid film thickness, compared to previous work. Additionally, the simulated droplet size distributions mirrored experimental trends, shifting to smaller sizes as pressure increased. Unfortunately, while reduced, there is a persistent underestimation of the lamella thickness and the droplet sizes at 0.2 MPa. In spite of this, the fact that the error propagates between the two phenomena underscores the effective coupling between Eulerian and Lagrangian approaches.

气芯液环雾化器是一种开创性的内部混合气动雾化技术,设计用于对含有大量固体成分的高粘度液体原料进行节能喷雾干燥。然而,它可能存在内部流动不稳定性,从而导致喷雾液滴直径变化很大。喷嘴出口附近的高速度阻碍了对流动条件如何从机理上决定所产生的液滴大小的实验研究。因此,本研究采用欧拉-拉格朗日耦合方法和自适应网格细化技术,建立了一个数值模型来模拟液体分解成韧带和液滴的过程,从而解决了这一问题。此外,还加入了大涡流模拟,以复制实验中观察到的湍流条件。与之前的工作相比,该数值模型在预测液膜厚度方面有了显著改进。此外,模拟的液滴大小分布反映了实验趋势,即随着压力的增加,液滴的大小变小。遗憾的是,在 0.2 兆帕压力下,模拟结果虽然降低了液膜厚度,但却持续低估了液滴尺寸。尽管如此,误差在两种现象之间传播的事实强调了欧拉方法和拉格朗日方法之间的有效耦合。
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引用次数: 0
Editorial Expression of Concern: A New Divergence Free Synthetic Eddy Method for the Reproduction of Inlet Flow Conditions for LES 编辑表达关切:用于再现 LES 入口流动条件的新型无发散合成涡方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-22 DOI: 10.1007/s10494-024-00548-0
R. Poletto, T. Craft, A. Revell
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引用次数: 0
Improved Prediction of the Flow in Cylindrical Critical Flow Venturi Nozzles Using a Transitional Model 使用过渡模型改进圆柱形临界流文丘里喷嘴的流量预测
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-18 DOI: 10.1007/s10494-024-00553-3
Sebastian Weiss, Bodo Mickan, Jiri Polansky, Kilian Oberleithner, Markus Bär, Sonja Schmelter

Critical flow Venturi nozzles (CFVNs) are a state-of-the-art secondary standard widely used for gas flow measurements with high precision. The flow rate correlates with the type and thickness of the boundary layer (BL) inside the nozzle throat. In the cylindrical type—one of the two standard designs of CFVNs—the nozzle throat encompasses a defined axial length in which the BL develops. This numerical study is concerned with the BL effects in a cylindrical CFVN by means of two turbulence models. Compared to experimental data, the k-(omega) SST model predicts the discharge coefficient well for high and low Reynolds numbers, but not in the intermediate regime. The (gamma)-(Re_{theta }) model, on the contrary, agrees well with experimental data in the entire flow range. Relevant quantities and profiles of the BL are separately investigated in the laminar, turbulent, and transitional region. The calculated laminar and turbulent BL thicknesses correspond to predictions based on integral methods for solving the BL equations. Simple representations are proposed for the Zagarola-Smits scaled laminar and turbulent deficit BL profiles removing the effects of axial position, Reynolds number, and pressure gradient. Furthermore, the shape factor is investigated as a characteristic parameter for determining the transitional region.

临界流文丘里喷嘴(CFVN)是最先进的二级标准,广泛用于高精度气体流量测量。流速与喷嘴喉管内边界层(BL)的类型和厚度相关。在圆柱形喷嘴(CFVN 的两种标准设计之一)中,喷嘴喉部包括一个确定的轴向长度,BL 就在其中形成。本数值研究通过两种湍流模型对圆柱形 CFVN 中的 BL 效应进行了研究。与实验数据相比,k-(omega) SST 模型能很好地预测高、低雷诺数下的排出系数,但在中间系统中却不能。相反,k-(ω)-(Re_{theta }) 模型在整个流动范围内都与实验数据吻合。分别研究了层流、湍流和过渡区的相关数量和 BL 曲线。计算得出的层流和湍流 BL 厚度与基于积分法求解 BL 方程的预测值一致。为 Zagarola-Smits 缩放层流和湍流亏损 BL 剖面提出了简单的表示方法,消除了轴向位置、雷诺数和压力梯度的影响。此外,还研究了形状系数,将其作为确定过渡区域的特征参数。
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引用次数: 0
On the Chemical Effect of Steam Addition to Premixed Hydrogen Flames with Respect to (text {NO}_text {x}) Emissions and Flame Speed 论预混氢气火焰中加入蒸汽对排放和火焰速度的化学影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-17 DOI: 10.1007/s10494-024-00551-5
Riccardo Concetti, Josef Hasslberger, Thomas Sattelmayer, Markus Klein

The present work analyses the effect of water vapour addition on ({text {NO}_text {x}}) emissions of premixed hydrogen flames. In doing so, the adiabatic flame temperature is maintained by increasing the equivalence ratio, or alternatively increasing the unburned gas temperature, for increasing levels of water loading. Thus, it is possible to elucidate the changes in ({text {NO}_text {x}}) production at constant-temperature conditions when the mixture is diluted with water. A consistent reduction of ({text {NO}_text {x}}) emissions for increasing water dilution can be observed from 1-D premixed freely propagating flame simulations. Regarding the chemical kinetics effect of water vapour, the relative importance of different third-body reactions is examined by modifying the corresponding water collision efficiencies individually. For the chemical mechanism adopted, three reactions directly affect the nitrogen chemistry and the remaining relevant reactions are important for the flame structure and radicals concentration. The analysis stresses the importance of indirect effects like the formation and consumption of (text {O}) and (text {H}) radicals in the pre-heat zone, which enhance the subsequent formation of ({text {NO}_text {x}}) within the flame. The presence of steam can lead to a reduction of approximately (50%) in ({text {NO}_text {x}}) emissions under conditions close to stoichiometry and high water loading ((10%) by mass), compared to scenarios without water addition. Furthermore, the efficiency of water in third-body reactions significantly contributes to an emission reduction, and half of (text {NO}) emissions under the same water loading conditions at high equivalence ratio are observed when the third-body reaction efficiency is activated with respect to the case with zero efficiency. This reduction is primarily attributed to effects on radical concentrations. Finally, the chemical effect via the third-body efficiency of water is examined with respect to flame speed. It turns out that the adiabatic flame temperature plays a key role for the relative influence of the chemical kinetics effect of water dilution. A cross-over temperature is found, below which the chemical effect of water reduces the flame speed, whereas the flame speed is increased above it.

本研究分析了水蒸气添加对预混合氢火焰排放的影响。在此过程中,通过增加当量比,或者增加未燃烧气体的温度来保持绝热火焰的温度,从而增加水的装载量。因此,当混合物被水稀释时,在恒温条件下({text {NO}_text {x}})产生量的变化是可能的。从一维预混合自由传播火焰模拟中可以观察到,随着水稀释度的增加,({text {NO}_text {x}}) 排放量持续减少。关于水蒸气的化学动力学效应,通过单独修改相应的水碰撞效率,研究了不同第三体反应的相对重要性。在所采用的化学机制中,有三个反应直接影响氮的化学反应,其余相关反应对火焰结构和自由基浓度有重要影响。分析强调了间接影响的重要性,如预热区的(text {O}) 和(text {H})自由基的形成和消耗,这增强了随后在火焰内形成的({text {NO}_text {x}})。与不加水的情况相比,在接近化学计量学和高水负荷(按质量计)的条件下,蒸汽的存在可以使({text {NO}_text {x}})排放减少大约(50%)。此外,水在第三体反应中的效率也大大有助于减少排放,在高当量比的相同加水条件下,当第三体反应效率被激活时,观察到的(text {NO})排放量是效率为零情况下的(text {NO})排放量的一半。这种减少主要归因于对自由基浓度的影响。最后,研究了通过水的第三体效率产生的化学效应与火焰速度的关系。结果表明,绝热火焰温度对水稀释的化学动力学效应的相对影响起着关键作用。我们发现了一个交叉温度,在该温度以下,水的化学效应会降低火焰速度,而在该温度以上,火焰速度会增加。
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引用次数: 0
Investigation of Sidewall and Reynolds Number Effects in a Ribbed Square Duct 研究带肋方形风道的侧壁和雷诺数效应
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-09 DOI: 10.1007/s10494-024-00554-2
Tiziano Santese, Daniel Martinez-Sanchis, Andrej Sternin, Chiara Manfletti

This paper presents a comprehensive three-dimensional Direct Numerical Simulation (DNS) investigation of flow characteristics over a roughened wall in a duct, exploring bulk Reynolds number variations from 4400 to 13,200 and considering the influence of side walls. Notably, a significant increase in friction factor highlights heightened resistance to flow due to surface roughness, emphasizing the importance of considering surface conditions in engineering applications. The study reveals three recirculation zones in the streamwise direction, indicating intricate separation phenomena caused by the interaction between the ribbed wall and the flow. Furthermore, the presence of sidewalls creates two major vortices perpendicular to the flow direction, highlighting the complexity of the vortical structures in this configuration, crucial for predicting flow behavior and optimizing system performance. The study demonstrates that the influence of the Reynolds number on these vortices is not well-scalable with respect to outer units, in contrast with respect to smooth ducts. Investigating side-wall effects, increased turbulent production rate, and non-equilibrium turbulence along the side walls highlight the sensitivity of turbulent stresses to Reynolds number and side-wall proximity. In conclusion, the paper provides novel insights into the interplay between Reynolds numbers, roughened surfaces, and boundary conditions in turbulent flows, laying a foundation for a deeper understanding of the flow in duct with high roughness.

本文对管道中粗糙壁面上的流动特性进行了全面的三维直接数值模拟(DNS)研究,探讨了从 4400 到 13200 的体雷诺数变化,并考虑了侧壁的影响。值得注意的是,摩擦因数的显著增加凸显了表面粗糙导致的流动阻力增大,强调了在工程应用中考虑表面条件的重要性。研究揭示了流向上的三个再循环区,表明肋壁和流动之间的相互作用导致了错综复杂的分离现象。此外,侧壁的存在产生了两个垂直于流动方向的主要涡流,突出了这种配置中涡流结构的复杂性,这对于预测流动行为和优化系统性能至关重要。研究表明,与光滑管道相比,雷诺数对这些涡流的影响并不能很好地扩展到外部单元。对侧壁效应、增加的湍流产生率和沿侧壁的非平衡湍流的研究突出表明了湍流应力对雷诺数和侧壁接近程度的敏感性。总之,本文对湍流中雷诺数、粗糙表面和边界条件之间的相互作用提出了新的见解,为深入理解高粗糙度管道中的流动奠定了基础。
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引用次数: 0
Normal Detonation Shock Wave in Turbulent Flow 湍流中的正常爆破冲击波
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-07 DOI: 10.1007/s10494-024-00552-4
Andriy Avramenko, Margarita Kovetskaya, Yulia Kovetska, Andrii Tyrinov

The effect of the degree of flow turbulence on detonation processes is analyzed. The relation between the turbulence parameters in front of and behind the shock wave is obtained for the first time. A modified detonation Hugoniot equation is derived, which takes into account the thermal effect and the level of flow turbulence. The equation for determining the velocity of detonation products, which shows how the degree of flow turbulence affects this velocity, was obtained. It is shown that the thermal effect weakens the effect of turbulence. The equation for estimating the effect of heat release and turbulence on the velocity in front of the shock wave is determined.

分析了水流湍流程度对引爆过程的影响。首次获得了冲击波前后湍流参数之间的关系。推导出了一个修正的起爆休格诺方程,其中考虑到了热效应和流动湍流程度。得到了确定爆轰产物速度的方程,该方程显示了流动湍流程度对这一速度的影响。结果表明,热效应减弱了湍流效应。确定了估算热释放和湍流对冲击波前速度影响的方程。
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引用次数: 0
Effects of Pressure and Characteristic Scales on the Structural and Statistical Features of Methane/Air Turbulent Premixed Flames 压力和特征尺度对甲烷/空气湍流预混合火焰结构和统计特征的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-04 DOI: 10.1007/s10494-024-00550-6
Jamie Bowers, Eli Durant, Reetesh Ranjan

In this study, the highly nonlinear and multi-scale flame-turbulence interactions prevalent in turbulent premixed flames are examined by using direct numerical simulation (DNS) datasets to understand the effects of increase in pressure and changes in the characteristic scale ratios at high pressure. Such flames are characterized by length-scale ratio (ratio of integral length scale and laminar thermal flame thickness) and velocity-scale ratio (ratio of turbulence intensity and laminar flame speed). A canonical test configuration corresponding to an initially laminar methane/air lean premixed flame interacting with decaying isotropic turbulence is considered. We consider five cases with the initial Karlovitz number of 18, 37, 126, and 260 to examine the effects of an increase in pressure from 1 to 10 atm with fixed turbulence characteristics and at a fixed Karlovitz number, and the changes to characteristic scale ratios at the pressure of 10 atm. The increase in pressure for fixed turbulence characteristics leads to enhanced flame broadening and wrinkling due to an increase in the range of energetic scales of motion. This further manifests into affecting the spatial and state-space variation of thermo-chemical quantities, single point statistics, and the relationship of heat-release rate to the flame curvature and tangential strain rate. Although these results can be inferred in terms of an increase in Karlovitz number, the effect of an increase in pressure at a fixed Karlovitz number shows differences in the spatial and state-space variations of thermo-chemical quantities and the relationship of the heat release rate with the curvature and tangential strain rate. This is due to a higher turbulent kinetic energy associated with the wide range of scales of motion at atmospheric pressure. In particular, the magnitude of the correlation of the heat release rate with the curvature and the tangential strain rate tend to decrease and increase, respectively, with an increase in pressure. Furthermore, the statistics of the flame-turbulence interactions at high pressure also show sensitivity to the changes in the characteristic length- and velocity-scale ratios. The results from this study highlight the need to accurately account for the effects of pressure and characteristic scales for improved modeling of such flames.

本研究利用直接数值模拟(DNS)数据集研究了湍流预混火焰中普遍存在的高度非线性和多尺度火焰-湍流相互作用,以了解高压下压力增加和特征尺度比变化的影响。这种火焰的特征是长度尺度比(整体长度尺度与层流热火焰厚度之比)和速度尺度比(湍流强度与层流火焰速度之比)。我们考虑了一种典型的测试配置,即与衰减的各向同性湍流相互作用的初始层流甲烷/空气贫预混火焰。我们考虑了初始卡洛维兹数为 18、37、126 和 260 的五种情况,以研究在固定湍流特性和固定卡洛维兹数的情况下,压力从 1 atm 增加到 10 atm 的影响,以及在压力为 10 atm 时特性比例的变化。在湍流特性固定的情况下,压力的增加会导致能量运动尺度范围的扩大,从而加强火焰的展宽和起皱。这进一步表现为影响热化学量的空间和状态空间变化、单点统计以及热释放率与火焰曲率和切向应变率的关系。虽然这些结果可以通过增加卡尔洛维茨数来推断,但在卡尔洛维茨数固定的情况下增加压力的影响显示出热化学量的空间和状态空间变化以及热释放率与曲率和切向应变率的关系存在差异。这是因为在大气压力下,运动尺度范围较宽,湍流动能较高。特别是,随着压力的增加,热释放率与曲率和切向应变率的相关性分别趋于减小和增大。此外,高压下火焰-湍流相互作用的统计数据也显示出对特征长度尺度比和速度尺度比变化的敏感性。这项研究的结果突出表明,需要准确考虑压力和特征尺度的影响,以改进此类火焰的建模。
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引用次数: 0
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Flow, Turbulence and Combustion
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