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Active Flow Control for Drag Reduction Through Multi-agent Reinforcement Learning on a Turbulent Cylinder at (Re_D=3900) 湍流圆柱上基于多智能体强化学习的主动减阻控制 (Re_D=3900)
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-05 DOI: 10.1007/s10494-025-00642-x
Pol Suárez, Francisco Alcántara-Ávila, Arnau Miró, Jean Rabault, Bernat Font, Oriol Lehmkuhl, Ricardo Vinuesa

This study presents novel drag reduction active-flow-control (AFC) strategies for a three-dimensional cylinder immersed in a flow at a Reynolds number based on freestream velocity and cylinder diameter of (Re_D=3900). The cylinder in this subcritical flow regime has been extensively studied in the literature and is considered a classic case of turbulent flow arising from a bluff body. The strategies presented are explored through the use of deep reinforcement learning. The cylinder is equipped with 10 independent zero-net-mass-flux jet pairs, distributed on the top and bottom surfaces, which define the AFC setup. The method is based on the coupling between a computational-fluid-dynamics solver and a multi-agent reinforcement-learning (MARL) framework using the proximal-policy-optimization algorithm. This work introduces a multi-stage training approach to expand the exploration space and enhance drag reduction stabilization. By accelerating training through the exploitation of local invariants with MARL, a drag reduction of approximately (9%) is achieved. The cooperative closed-loop strategy developed by the agents is sophisticated, as it utilizes a wide bandwidth of mass-flow-rate frequencies, which classical control methods are unable to match. Notably, the mass cost efficiency is demonstrated to be two orders of magnitude lower than that of classical control methods reported in the literature. These developments represent a significant advancement in active flow control in turbulent regimes, critical for industrial applications.

本文提出了一种基于自由流速度和柱体直径(Re_D=3900)雷诺数的三维柱体的减阻主动流动控制(AFC)策略。在这种亚临界流动状态下的圆柱体在文献中得到了广泛的研究,并被认为是由钝体引起的湍流的经典情况。通过使用深度强化学习来探索所提出的策略。气缸配备了10个独立的零净质量通量射流对,分布在顶部和底部表面,它们定义了AFC设置。该方法基于计算流体动力学求解器与多智能体强化学习(MARL)框架之间的耦合,采用近端策略优化算法。这项工作引入了一种多阶段训练方法,以扩大勘探空间并增强减阻稳定性。通过利用MARL的局部不变量来加速训练,可以实现大约(9%)的阻力减少。由智能体开发的合作闭环策略是复杂的,因为它利用了宽带宽的质量流量频率,这是传统控制方法无法比拟的。值得注意的是,质量成本效率被证明比文献中报道的经典控制方法低两个数量级。这些发展代表了湍流状态下主动流动控制的重大进步,对工业应用至关重要。
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引用次数: 0
Advances in Turbulence, Heat and Mass Transfer 湍流、传热和传质的进展
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-05 DOI: 10.1007/s10494-025-00644-9
Kemal Hanjalić, Domenico Borello, Kazuhiko Suga, Paolo Venturini
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引用次数: 0
Flow Separation Control of a Vertical Stabiliser Using a Rudder-Mounted Slat 采用舵板的垂直稳定器流动分离控制
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-02-24 DOI: 10.1007/s10494-025-00640-z
Mahmud Jamil Muhammad, Yaxing Wang, Xuerui Mao, Kwing-So Choi

A joint study utilising experimental and numerical methods was carried out to investigate the aerodynamic effect of a rudder-mounted slat on a vertical stabiliser. The wind tunnel test results showed that the side force coefficient was increased more than 3% with a negligible increase in drag when the rudder deflection angle was set to δ = 30°. Large eddy simulation (LES) results suggested that the rudder-mounted slat can increase the circulation around the vertical stabiliser, showing that the flow from the upstream recirculating regions was drawn towards the rudder surface. Associated changes in the turbulent flow field, including the mean and turbulent flow field and the vortical structure are also presented to understand the flow control mechanism by the rudder-mounted slat.

采用数值与实验相结合的方法,研究了舵板对垂直尾翼气动性能的影响。风洞试验结果表明,当舵角为δ = 30°时,侧力系数增加3%以上,阻力增加可以忽略不计。大涡模拟(LES)结果表明,安装舵板可以增加垂直尾翼周围的循环,表明上游再循环区域的流动被吸引到方向舵表面。本文还分析了湍流场的相关变化,包括平均流场和湍流场以及旋涡结构的变化,以了解舵板的流控机理。
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引用次数: 0
Numerical Simulation of the Agglomeration Behaviour of Spheroidal Particle Pairs in Chaotic Flows 混沌流动中球形粒子对团聚行为的数值模拟
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-02-24 DOI: 10.1007/s10494-025-00635-w
Jacob P. Anderson, Lee F. Mortimer, Timothy N. Hunter, Jeffrey Peakall, Michael Fairweather

Interactions between attractive spheroidal particles are studied in boxes of chaotic flow under the action of a homogeneous and isotropic forcing technique. The fully resolved fluid field and structure-resolved particle–fluid coupling regime are obtained through direct numerical simulation and an immersed boundary method. Agglomeration outcomes are accommodated through attractive van der Waals forces, suitably adapted to consider the orientational dependencies associated with the non-spherical shape. Binary particle interactions are first studied in quiescent conditions, as well as in a periodic box of chaotic fluid flow. The latter is forced using a stochastic method, where the magnitude of the velocity fluctuations and Taylor–Reynolds number are chosen based on those typically seen in nuclear waste processing scenarios. Differences in particle interaction behaviours are presented for the cases of disks and needles, with the role of orientation and kinetic energy in determining interaction outcomes analysed and contrasted with spheres. Results indicate that needles have the highest agglomeration propensity in the chaotic fluid, followed by spheres, and then disks. Lastly, the inclusion of attractive orientationally-dependent interaction forces promotes alignment between the symmetry axes of spheroidal particle pairs, whilst the increased action of the fluid was also seen to promote alignment between the interacting particles when compared to the quiescent case.

在均匀各向同性强迫作用下,研究了混沌流动中吸引球粒子之间的相互作用。通过直接数值模拟和浸入边界法得到了完全分辨的流场和结构分辨的颗粒-流体耦合状态。聚集结果是通过吸引的范德华力来调节的,适当地适应考虑与非球形形状相关的方向依赖性。首先在静态条件下以及在混沌流体流动的周期箱中研究了二元粒子相互作用。后者是使用随机方法强制的,其中速度波动的大小和泰勒-雷诺兹数是根据核废料处理情景中通常看到的大小来选择的。提出了圆盘和针状粒子相互作用行为的差异,并分析了取向和动能在决定相互作用结果中的作用,并与球形进行了对比。结果表明,针状颗粒在混沌流体中的团聚倾向最高,其次是球体,最后是圆盘。最后,包含有吸引力的方向依赖的相互作用力促进了球体粒子对对称轴之间的对齐,而与静态情况相比,流体的增加作用也被视为促进了相互作用粒子之间的对齐。
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引用次数: 0
On the Impact of CFD Turbulence Models for Premixed ({text{NH}}_{3})/({text{H}}_{2}) Combustion on Emissions and Flame Characteristics in a Swirl-Stabilized Burner 预混合({text{NH}}_{3}) / ({text{H}}_{2})燃烧CFD湍流模型对旋流稳定燃烧器排放和火焰特性的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-02-08 DOI: 10.1007/s10494-025-00638-7
Luca Mazzotta, Rachele Lamioni, Giuliano Agati, Adriano Evangelisti, Franco Rispoli, Agustin Valera-Medina, Domenico Borello

Ammonia combustion is gaining interest as a feasible alternative to traditional fossil fuels because of to the low environmental impact and as hydrogen and energy carrier. This study used Computational Fluid Dynamics (CFD) simulations to compare various turbulence models for premixed ammonia/hydrogen combustion in a swirl-stabilized burner. The primary aim was to identify the best turbulence model for accurately predicting the flow dynamics, combustion behaviour, and emissions profiles of ammonia/hydrogen fuel blends. The turbulence models evaluated were Large Eddy Simulation (LES), Realizable k-(epsilon), Renormalization Group (RNG) k-(epsilon), k-(omega) SST, and Reynolds Stress Model (RSM). On the LES side, a further comparison of two subgrid models (Smagorinsky-Lilly and WALE) was investigated. The Flamelet Generated Manifold (FGM) method was utilized with a detailed chemistry scheme taking into consideration all (hbox {NO}_x) reactions. To improve the prediction of (hbox {NO}_x) emissions, additional scalar transport equations for NO and (hbox {NO}_2) were included. This methodology aimed to be a balance between computational efficiency and the accuracy expected of detailed chemistry models. Validation was done with a swirl burner from Cardiff University’s Gas Turbine Research Centre. Results showed that all turbulence models accurately captured flame characteristics in terms of exhaust temperature and axial velocity with minor differences in the recirculation zones, where only the RSM model can predict the velocity trend as the LES simulation while other RANS models differ by at least 7 m/s. The temperature reached by the LES resulted 100 K higher than the other models in the flame zone. LES simulation can predict the emission value with an error of less than 10(%). Moreover, the error related to emissions derived from the RANS simulations was not negligible, underestimating (hbox {NO}_x) emissions by about 35(%). However, RSM model produced results that were closer to those derived from the high-fidelity LES when compared to the others RANS models, particularly in terms of flame thickness and emissions. It was concluded that it is mandatory to perform an unsteady analysis to reach reasonable results.

氨燃烧作为一种可行的替代传统化石燃料的方法正受到人们的关注,因为它对环境的影响小,而且可以作为氢和能源的载体。本研究采用计算流体动力学(CFD)模拟,比较了不同湍流模型在旋流稳定燃烧器内的氨/氢预混燃烧。主要目的是确定最佳湍流模型,以准确预测氨/氢燃料混合物的流动动力学、燃烧行为和排放概况。评估的湍流模型有大涡模拟(LES)、Realizable k- (epsilon)、重整化组(RNG) k- (epsilon)、k- (omega) SST和雷诺应力模型(RSM)。在LES方面,进一步比较了两个子网格模型(Smagorinsky-Lilly和WALE)。火焰生成歧管(FGM)方法采用了详细的化学方案,考虑了所有(hbox {NO}_x)反应。为了改进(hbox {NO}_x)排放的预测,加入了NO和(hbox {NO}_2)的附加标量输运方程。这种方法的目的是在计算效率和详细化学模型所期望的准确性之间取得平衡。验证是用卡迪夫大学燃气轮机研究中心的涡流燃烧器完成的。结果表明,所有湍流模型都能准确地捕捉到火焰在排气温度和轴向速度方面的特征,在再循环区域差异较小,其中只有RSM模型能像LES模拟那样预测速度趋势,而其他RANS模型的差异至少为7 m/s。在火焰区,LES达到的温度比其他模型高100 K。LES模拟可以预测发射值,误差小于10 (%)。此外,从RANS模拟中得出的与排放有关的误差不可忽略,将(hbox {NO}_x)排放量低估了约35 (%)。然而,与其他RANS模型相比,RSM模型产生的结果更接近高保真LES模型,特别是在火焰厚度和排放方面。得出结论,为了得到合理的结果,必须进行非定常分析。
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引用次数: 0
Numeric Metrics for Capturing Variations in Flow Fields: An Improvement Towards a Robust Comparison of Vector Fields 用于捕获流场变化的数值度量:对向量场鲁棒比较的改进
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-01-31 DOI: 10.1007/s10494-025-00637-8
Matthew Nowruzi, Samuel Baker, Felix Leach, Xiaohang Fang

Quantifying the similarity of velocity vector fields is a critical task across numerous applications within fluid mechanics research, such as computational fluid dynamics validation and quantifying the levels of variability in a flow field. However, this task remains challenging for widely used vector comparison metrics at present. Traditional metrics include the Relevance Index (RI) and Magnitude Similarity Index (MSI) as well as their local versions, Local Structural Index (LSI) and Local Magnitude Index (LMI). These metrics, however, are often sensitive to low-velocity magnitude areas, which can distort the results. To address this, improved metrics like the Weighted Relevance Index (WRI), the Weighted Magnitude Index (WMI), and their amalgamated Combined Magnitude And Relevance Index (CMRI), have been introduced in the literature. Despite having reduced sensitivity to low-velocity areas, CMRI in its original form does not equally consider the significance of WRI and WMI, and introduces a degree of subjectivity. In the present work, we propose two enhanced metrics to address this problem: the modified CMRI for one-by-one flow field comparison, and the ensemble CMRI for comparing collections of vector fields. We compare their properties to the previously developed CMRI and spatially averaged CMRI, and investigate their usage in an applied example for quantifying cyclic variations in a flow from a combustion engine cylinder. The newly proposed metrics were found to more robustly isolate the effects of discrepant vector magnitudes and directions, leading to improved diagnostics of in-cylinder flow fields. In particular, the modified CMRI, which ensures equal treatment of WMI and WRI, can serve as a baseline for flow field comparison, providing a more objective target for quantifying flow similarity.

量化速度矢量场的相似性是流体力学研究中许多应用的关键任务,例如计算流体动力学验证和量化流场的可变性水平。然而,对于目前广泛使用的矢量比较指标来说,这一任务仍然具有挑战性。传统的度量标准包括相关性指数(RI)和震级相似指数(MSI),以及它们的局部版本,局部结构指数(LSI)和局部震级指数(LMI)。然而,这些指标通常对低速震级区域很敏感,这可能会扭曲结果。为了解决这个问题,文献中引入了加权相关性指数(WRI)、加权幅度指数(WMI)及其合并的综合幅度和相关性指数(CMRI)等改进的指标。尽管降低了对低速区的敏感性,但原始形式的CMRI并没有平等地考虑WRI和WMI的重要性,并且引入了一定程度的主观性。在目前的工作中,我们提出了两个增强的度量来解决这个问题:用于逐个流场比较的改进CMRI和用于比较向量场集合的集成CMRI。我们将其性能与先前开发的CMRI和空间平均CMRI进行了比较,并在一个应用实例中研究了它们在量化内燃机气缸流动循环变化中的应用。研究发现,新提出的指标更稳健地隔离了矢量大小和方向差异的影响,从而改进了缸内流场的诊断。特别是改进后的CMRI,保证了WMI和WRI的平等处理,可以作为流场比较的基线,为量化流动相似性提供了更客观的目标。
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引用次数: 0
The Influence of Reflected Gas Molecules State on Flow Characteristics at Reentry Condition 再入状态下反射气体分子状态对流动特性的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-01-30 DOI: 10.1007/s10494-024-00634-3
Yong-Dong Liang, Zhi-Hui Li, Xin-Yu Jiang

The work constructs the Gas kinetic solver (GKUA) to solve the Boltzmann model equation. Then the solver is respectively confirmed by NS, DSMC and experiments in typical conditions during reentry. Furthermore, the Maxwellian gas-surface interaction model is utilized to study the effects of reflected gas molecules state ((alpha_{e})) on flow field and aerodynamic properties at various extent of gas rarefaction. Results reveal the temperature is more susceptible to the state of reflected gas molecules compared with pressure. And the larger gas rarefaction tends to weaken the effects. As for surface heat flux, it just increases with (alpha_{e}) in lower gas rarefaction, while it behaves as the opposite trend with larger gas rarefaction. Freestream condition (H = 50km,Ma = 8.0,AOA = 60^{o}) is set for booster model in practical application. We experience the shrinks of aerodynamic pitch moment coefficient with more (alpha_{e}). These results are valuable for the construction of expired spacecraft forecasting platform which integrates exterior ballistics with aerothermodynamic computations to obtain tracks of spacecraft fragments in advance.

构建了求解玻尔兹曼模型方程的气体动力学求解器(GKUA)。然后分别用NS、DSMC和再入典型条件下的实验对求解器进行了验证。利用麦克斯韦气-面相互作用模型研究了不同气体稀薄程度下反射气体分子状态((alpha_{e}))对流场和气动性能的影响。结果表明,温度比压力更容易受反射气体分子状态的影响。而较大的气体稀薄度往往会削弱这种效应。表面热流密度在气体稀薄度较低时仅随(alpha_{e})增大,而在气体稀薄度较大时则相反。在实际应用中,升压模型设置了自由流条件(H = 50km,Ma = 8.0,AOA = 60^{o})。随着(alpha_{e})的增大,气动俯仰力矩系数也随之减小。这些结果对于构建将外弹道与气动计算相结合的航天器失效预测平台,提前获取航天器碎片轨迹具有一定的参考价值。
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引用次数: 0
Volumetric Measurements of Mean Velocity Vector and Reynolds Stress Tensor for CFD Validation: Magnetic Resonance Velocimetry in a Nuclear Fuel Assembly Model with Mixing Grids 用于CFD验证的平均速度矢量和雷诺应力张量的体积测量:带有混合网格的核燃料组件模型中的磁共振测速
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-01-22 DOI: 10.1007/s10494-025-00636-9
Kristine John, Swantje Romig, Markus Rehm, Hidajet Hadžić, Peter Pohl, Sven Grundmann, Martin Bruschewski

Experimental studies in industrial-relevant geometries are of great value for validating computational fluid dynamics (CFD). This study provides such data using Magnetic Resonance Velocimetry (MRV) in a replica of the single-phase and isothermal OECD/NEA-KAERI rod bundle benchmark exercise based on the MATiS-H test facility at the Korea Atomic Energy Research Institute (KAERI). The geometry is a 5 × 5 nuclear fuel assembly model of a pressurized water reactor with a split-type mixing grid inducing a swirling flow in each sub-channel. The Reynolds number based on the hydraulic diameter is 50,250. Recent studies demonstrated that MRV enables a comprehensive validation of CFD results in industrial-relevant test cases by providing time-averaged, three-dimensional measurement data from complex opaque structures. Nevertheless, there was still some potential left to improve the accuracy of the measurement. This study uses a newly developed MRV method to accurately measure the mean velocity vectors and the Reynolds stress tensor in three dimensions. The measurement volume reaches from shortly upstream to 10 times the hydraulic diameter downstream of the mixing grid. The estimated mean measurement uncertainty of the velocity data is 1.9% based on the bulk velocity of 1.72 m/s. In the case of the Reynolds stress data, the estimated mean uncertainty for each component is between 0.7 and 1.8% based on the square of the bulk velocity. The comparison to previously published Laser Doppler velocimetry measurements confirms the high accuracy of the reported 3D MRV data. The study includes a detailed description of the technique and boundary conditions. The measurement data is available to interested parties upon request.

工业相关几何的实验研究对于验证计算流体力学(CFD)具有重要价值。本研究利用磁共振测速法(MRV)在韩国原子能研究所(KAERI)基于MATiS-H测试设施的单相和等温OECD/NEA-KAERI棒束基准练习的复制品中提供了这些数据。几何形状为压水堆的5 × 5核燃料组件模型,该模型具有劈裂式混合网格,在每个子通道中诱导旋转流动。基于液压直径的雷诺数为50250。最近的研究表明,通过提供复杂不透明结构的时间平均三维测量数据,MRV可以在工业相关测试用例中对CFD结果进行全面验证。然而,仍有一些潜力,以提高测量的准确性。本研究采用新开发的MRV方法在三维空间上精确测量平均速度矢量和雷诺应力张量。测量体积从上游到下游的10倍水力直径的混合网格。以体速度1.72 m/s为基准,估计速度数据的平均测量不确定度为1.9%。在雷诺应力数据的情况下,基于体速度的平方,估计每个分量的平均不确定性在0.7到1.8%之间。与先前发表的激光多普勒测速测量结果的比较证实了报道的3D MRV数据的高精度。该研究包括对技术和边界条件的详细描述。有关人士可应要求提供测量数据。
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引用次数: 0
Effects of Wall Temperature on Scalar and Turbulence Statistics During Premixed Flame–Wall Interaction Within Turbulent Boundary Layers 湍流边界层内预混火焰-壁面相互作用中壁面温度对标量和湍流统计量的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-01-16 DOI: 10.1007/s10494-024-00603-w
Sanjeev Kr. Ghai, Umair Ahmed, Nilanjan Chakraborty

Direct numerical simulations (DNS) have been utilised to investigate the impact of different thermal wall boundary conditions on premixed V-flames interacting with walls in a turbulent channel flow configuration. Two boundary conditions are considered: isothermal walls, where the wall temperature is set either equal to the unburned mixture temperature or an elevated temperature, and adiabatic walls. An increase in wall temperature has been found to decrease the minimum flame quenching distance and increase the maximum wall heat flux magnitude. The analysis reveals notable differences in mean behaviours of the progress variable and non-dimensional temperature in response to thermal boundary conditions. At the upstream of the flame–wall interaction location, higher mean friction velocity values are observed for the case with elevated wall temperature compared to the other cases. However, during flame–wall interaction, friction velocity values decrease for isothermal walls but initially rise before decreasing for adiabatic walls, persisting at levels surpassing isothermal conditions. For all thermal wall boundary conditions, the mean scalar dissipation rates of the progress variable and non-dimensional temperature exhibit a decreasing trend towards the wall. Notably, in the case of isothermal wall boundary condition, a higher scalar dissipation rate for the non-dimensional temperature is observed in comparison to the scalar dissipation rate for the progress variable. Thermal boundary condition also has a significant impact on Reynolds stress components, turbulent kinetic energy, and dissipation rates, showing the highest magnitudes with isothermal case with elevated wall temperature and the lowest magnitude for the isothermal wall with unburned gas temperature. The findings of the current analysis suggest that thermal boundary conditions can potentially significantly affect trubulence closures in the context of Reynolds averaged Navier–Stokes simulations of premixed flame–wall interaction.

利用直接数值模拟(DNS)研究了不同热壁边界条件对湍流通道中预混v型火焰与壁面相互作用的影响。考虑了两种边界条件:等温壁面,壁面温度设置为等于未燃烧混合物温度或升高温度;绝热壁面。壁面温度的升高会减小最小火焰淬火距离,增大最大壁面热流密度。分析表明,在响应热边界条件时,过程变量和无量纲温度的平均行为存在显著差异。在火焰-壁面相互作用位置的上游,壁面温度升高的情况下,平均摩擦速度值高于其他情况。然而,在火焰-壁面相互作用过程中,等温壁面的摩擦速度值减小,但绝热壁面的摩擦速度值在减小之前先升高,并持续到超过等温条件的水平。在所有热壁边界条件下,过程变量和无因次温度的平均标量耗散率均向壁面减小。值得注意的是,在等温壁面边界条件下,与过程变量的标量耗散率相比,无量纲温度的标量耗散率更高。热边界条件对雷诺数应力分量、湍流动能和耗散速率也有显著的影响,在等温壁面温度升高时影响最大,而在等温壁面温度未燃烧时影响最小。当前分析的结果表明,在预混合火焰-壁面相互作用的Reynolds平均Navier-Stokes模拟中,热边界条件可能会显著影响湍流闭合。
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引用次数: 0
Distributions of Wall Heat Flux and Wall Shear Stress and their Interrelation During Head-on Quenching of Premixed Flames within Turbulent Boundary Layers 湍流边界层内预混火焰迎面淬火时壁面热流密度和壁面剪应力的分布及其相互关系
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-01-09 DOI: 10.1007/s10494-024-00633-4
Vishnu Mohan, Umair Ahmed, Nilanjan Chakraborty

The statistical behaviours of wall heat flux and wall shear stress and their interdependence during unsteady head-on quenching of statistically planar turbulent premixed flames within turbulent boundary layers due to heat loss through the cold wall have been analysed using three-dimensional Direct Numerical Simulation data with friction Reynolds numbers of (Re_tau =110) and 180. In both cases, the mean wall shear stress decreases during flame-wall interaction, whereas the mean wall heat flux magnitude increases with time as the flame approaches the wall and eventually assumes a maximum value before decreasing with the progress of flame quenching. The integral length scales of wall heat flux in both streamwise and spanwise directions have been found to grow with time after the maximum mean heat flux magnitude is obtained for the two (Re_tau) cases considered. However, the integral length scale of wall shear stress in the streamwise direction grows but the integral length scale of wall shear stress in the spanwise direction decreases with time after the maximum mean heat flux magnitude is reached. Moreover, the correlation coefficient between the wall heat flux magnitude and wall shear stress becomes increasingly negative while the mean wall heat flux increases with time, but this negative correlation weakens with the progress of flame quenching. The first few (i.e., most energetic) Proper Orthogonal Decomposition (POD) modes of wall shear stress and the wall heat flux magnitude have been found to capture the qualitative nature of the correlation between these quantities and their spatial variations. It is found that tens of most energetic POD modes are needed to capture the mean and variances of wall heat flux and wall shear stress. The number of most energetic modes, which contribute significantly to the statistics of both wall heat flux and wall shear stress, decreases with decreasing (Re_tau) and also with the progress of flame quenching due to the weakening of turbulence effects.

利用摩擦雷诺数分别为(Re_tau =110)和180的三维直接数值模拟数据,分析了统计平面湍流预混火焰在湍流边界层内因冷壁热损失而非定常迎面淬火时壁面热流通量和壁面剪应力的统计行为及其相互关系。两种情况下,在火焰-壁面相互作用过程中,壁面平均剪应力减小,而壁面平均热流量值随着火焰接近壁面而随时间增大,最终达到最大值,然后随着火焰熄灭的进行而减小。在得到两种情况(Re_tau)的最大平均热流量级后,沿流方向和沿展方向的壁面热流的积分长度尺度都随时间增长。在达到最大平均热流强度后,沿流方向的壁面剪应力积分长度尺度增大,沿展向的壁面剪应力积分长度尺度随时间减小。随着时间的推移,壁面热流强度与壁面剪切应力之间的相关系数越来越负,壁面平均热流强度随着时间的增加而增加,但这种负相关随着火焰淬火的进行而减弱。墙体剪切应力和墙体热流强度的前几个(即最具能量的)固有正交分解(POD)模式已被发现捕捉到这些量及其空间变化之间相关性的定性性质。研究发现,要捕捉壁面热流密度和壁面剪应力的均值和方差,需要几十种能量最高的POD模态。对壁面热流密度和壁面剪应力统计都有重要贡献的最高能态的数目随着(Re_tau)的减小以及湍流效应的减弱而随着火焰淬火的进行而减少。
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Flow, Turbulence and Combustion
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