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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
Assessment of Roughness Characterization Methods for Data-Driven Predictions 评估用于数据驱动预测的粗糙度表征方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-04 DOI: 10.1007/s10494-024-00549-z
Jiasheng Yang, Alexander Stroh, Sangseung Lee, Shervin Bagheri, Bettina Frohnapfel, Pourya Forooghi

A comparative analysis is undertaken to explore the impact of various roughness characterization methods as input variables on the performance of data-driven predictive models for estimating the roughness equivalent sand-grain size (k_s). The first type of model, denoted as (text {ENN}_text {PS}), incorporates the roughness height probability density function (p.d.f.) and power spectrum (PS), while the second type of model, (text {ENN}_text {PA}), utilizes a finite set of 17 roughness statistical parameters as input variables. Furthermore, a simplified parameter-based model, denoted as (text {ENN}_text {PAM}), is considered, which features only 6 input roughness parameters. The models are trained based on identical databases and evaluated using roughness samples similar to the training databases as well as an external testing database based on literature. While the predictions based on p.d.f. and PS achieves a stable error level of around 10% among all considered testing samples, a notable deterioration in performance is observed for the parameter-based models for the external testing database, indicating a lower extrapolating capability to diverse roughness types. Finally, the sensitivity analysis on different types of roughness confirms an effective identification of distinct roughness effects by (text {ENN}_text {PAM}), which is not observed for (text {ENN}_text {PA}). We hypothesize that the successful training of (text {ENN}_text {PAM}) is attributed to the enhanced training efficiency linked to the lower input dimensionality.

我们进行了对比分析,以探讨各种粗糙度表征方法作为输入变量对用于估算粗糙度等效砂粒尺寸 (k_s) 的数据驱动预测模型性能的影响。第一类模型,即 (text {ENN}_text {PS}/),包含粗糙度高度概率密度函数(p.d.f.)和功率谱(PS),而第二类模型,即 (text {ENN}_text {PA}/),利用有限的 17 个粗糙度统计参数作为输入变量。此外,我们还考虑了一种简化的基于参数的模型,称为 (text {ENN}_text {PAM}),其特点是只有 6 个输入粗糙度参数。这些模型基于相同的数据库进行训练,并使用与训练数据库相似的粗糙度样本以及基于文献的外部测试数据库进行评估。在所有测试样本中,基于 p.d.f. 和 PS 的预测误差稳定在 10% 左右,而在外部测试数据库中,基于参数的模型性能明显下降,这表明对不同粗糙度类型的外推能力较低。最后,对不同粗糙度类型的敏感性分析证实了 (text {ENN}_text {PAM}) 能够有效识别不同的粗糙度效应,而 (text {ENN}_text {PA}) 则无法做到这一点。我们假设,(text {ENN}_text {PAM}) 的成功训练归因于与较低的输入维度相关的训练效率的提高。
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引用次数: 0
Noise Mechanisms of an Axial Turbine Stage Based on Large Eddy Simulation 基于大涡流模拟的轴流涡轮级噪声机理
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-30 DOI: 10.1007/s10494-024-00547-1
Lanyi Yan, Yigang Luan, Daniele Simoni, Tao Sun, Lianfeng Yang, Pietro Zunino, Franco Magagnato

This paper aims at identifying the noise sources in an axial turbine stage and their relative importance. The Large eddy simulation (LES) has been carried out on a geometry containing single rotor and stator passages and the mesh of the rotor domain is circumferentially sliding. The proper orthogonal decomposition (POD) is applied to data matrices constructed with the pressure fields in order to distinctly extract the coherent structures responsible for noise generation. The results show that the rotor–stator interaction contributes up to 50% of the total sound energy, the flow fluctuations are influenced by the rotor–stator interaction even in the very upstream region of the stator passage due to the massive pressure wave reflections between the stator vane row and the rotor blade row. Therefore, the tonal noise at the blade passing frequency and its second harmonic frequency are the dominant noise of the turbine stage. An aerodynamic-acoustic feedback loop is observed in the stator passage and it is mainly due to the emission, reflection and interference of the pressure waves generated by the trailing edge vortex shedding. The surface pressure levels of the rotor blade surface are lower than those of the stator vane surface, thus the rotor blades have a smaller contribution to the overall noise level of the turbine stage than the stator vanes, since there is no aerodynamic-acoustic feedback loop in the rotor passage.

本文旨在确定轴流式涡轮级中的噪声源及其相对重要性。大涡流模拟(LES)是在包含单转子和定子通道的几何体上进行的,转子域的网格是圆周滑动的。适当的正交分解(POD)被应用于用压力场构建的数据矩阵,以明确提取产生噪声的相干结构。结果表明,转子-定子相互作用产生的声能占总声能的 50%,由于定子叶片排和转子叶片排之间存在大量压力波反射,即使在定子通道的上游区域,流动波动也会受到转子-定子相互作用的影响。因此,叶片通过频率及其二次谐波频率的音调噪声是涡轮级的主要噪声。在定子通道中可以观察到空气动力-声反馈回路,这主要是由于后缘涡流脱落产生的压力波的发射、反射和干扰造成的。转子叶片表面的压力水平低于定子叶片表面的压力水平,因此转子叶片对涡轮级整体噪声水平的贡献小于定子叶片,因为转子通道中不存在空气动力-声反馈回路。
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引用次数: 0
Flow Topology of the Bi-Stable Wake States for the DrivAer Fastback Model DrivAer Fastback 模型双稳定唤醒状态的流动拓扑图
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-23 DOI: 10.1007/s10494-024-00546-2
Matthew Aultman, Lian Duan

For this work, conditional averaging and Proper Orthogonal Decomposition (POD) were used to analyze the salient three-dimensional structures in the wake of a DrivAer fastback model with smooth underbody. Conditional averaging revealed that the bi-stable structure of the wake consists of a ring-like structure with three vortex legs, which includes a vortex pair on the side associated with the bi-stability and one on the opposite side associated with the wheel vortex. POD revealed the entrainment of low-momentum fluid from the wheel wake into the vortex pair leads to an induced spanwise crossflow which drives a feedback loop for the bi-stability. The resultant bi-stable structure was dependent on the state of the wheels. With stationary wheels, the feedback mechanism is enhanced, leading to higher spanwise crossflow that breaks the ring-like vortex. A different structure was observed when the wheels rotate, wherein the ring-like structure is unbroken and pierced by the vortex pair. The feedback mechanism and resultant vortex structure are similar to those found in simplified square-back models. Given the similarity in bi-stability between realistic and simplified vehicles, the suppression of the bi-stability in realistic vehicles could initially be based on the same mechanism as that for simplified square-back models.

本研究采用条件平均法和适当正交分解法(POD)分析了具有光滑底部的 DrivAer Fastback 模型尾流中的显著三维结构。条件平均法显示,尾流的双稳态结构由带有三个涡腿的环状结构组成,其中包括与双稳态相关的一侧的一对涡,以及与车轮涡相关的另一侧的一对涡。POD 显示,车轮尾流中的低动量流体夹带进入涡旋对,导致诱导跨向横流,从而推动双稳态的反馈回路。由此产生的双稳态结构取决于车轮的状态。当车轮静止时,反馈机制得到加强,导致更高的跨向横流,从而打破环状涡流。当车轮旋转时,观察到不同的结构,其中环状结构未被打破,并被涡对穿透。反馈机制和由此产生的涡旋结构与简化的方背模型相似。鉴于现实车辆与简化车辆在双稳态方面的相似性,现实车辆的双稳态抑制最初可能基于与简化方背模型相同的机制。
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引用次数: 0
On the Continuous Adjoint of Prominent Explicit Local Eddy Viscosity-based Large Eddy Simulation Approaches for Incompressible Flows 论基于大涡粘度的不可压缩流动的显式局部大涡模拟方法的连续临界点
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-16 DOI: 10.1007/s10494-024-00543-5
Niklas Kühl

The manuscript deals with continuous adjoint companions of prominent explicit Large Eddy Simulation (LES) methods grounding on the eddy viscosity assumption for incompressible fluids. The subgrid-scale approximations considered herein address the classic Smagorinsky-Lilly, the Wall-Adapting Local Eddy-Viscosity (WALE), and the Kinetic Energy Subgrid-Scale (KESS) model, whereby only static implementations, i.e., those without dynamically adjusted model parameters, are considered. The associated continuous adjoint systems and resulting shape sensitivity expressions are derived. Information on the consistent discrete implementation is provided that benefits from the self-adjoint primal discretization of convective and diffusive fluxes via unbiased, symmetric approximations, frequently performed in explicit LES studies to minimize numerical diffusion. Algebraic primal subgrid-scale models yield algebraic adjoint LES relationships that resemble additional adjoint momentum sources. The KESS one equation model introduces an additional adjoint equation, which enlarges the resulting continuous adjoint KESS system with potentially increased numerical stiffness. The different adjoint LES methods are tested and compared against each other on a flow around a circular cylinder at (text{Re}_text{D} = {140000,}) for a boundary (drag) and volume (deviation from target velocity distribution) based cost functional. Since all primal implementations predict similar flow fields, it is possible to swap the associated adjoint systems –i.e., applying an adjoint WALE method to a primal KESS result– and still obtain plausible adjoint results. Due to the LES’s inherent unsteady character, the adjoint solver requires the entire primal flow field over the cost-functional relevant time horizon. Even for the academic cases studied herein, the storage capacities are in the order of terabytes and refer to a practical bottleneck. However, in the case of suitable, time-averaged cost functional, the time-averaged primal flow field can be used directly in a steady adjoint solver, which results in a drastic effort reduction.

手稿讨论了以不可压缩流体的涡流粘度假设为基础的著名显式大涡流模拟(LES)方法的连续邻接伴生方法。本文考虑的子网格尺度近似方法包括经典的 Smagorinsky-Lilly、Wall-Adapting Local Eddy-Viscosity (WALE) 和动能子网格尺度 (KESS) 模型,其中只考虑了静态实现方法,即没有动态调整模型参数的方法。推导出了相关的连续邻接系统和由此产生的形状灵敏度表达式。提供的一致离散实施信息得益于通过无偏对称近似对对流和扩散通量进行的自相关基元离散化,这种离散化经常在显式 LES 研究中进行,以最大限度地减少数值扩散。代数基元子网格尺度模型产生的代数邻接 LES 关系类似于额外的邻接动量源。KESS 单方程模型引入了一个额外的邻接方程,扩大了由此产生的连续邻接 KESS 系统,可能会增加数值刚度。对基于边界(阻力)和体积(与目标速度分布的偏差)成本函数的 (text{Re}_text{D} = {140000,})环绕圆柱体的流动进行了测试和比较。由于所有基元实现都预测类似的流场,因此可以交换相关的辅助系统,即对基元 KESS 结果应用辅助 WALE 方法,仍然可以获得可信的辅助结果。由于 LES 本身具有非稳态特性,因此辅助求解器需要成本功能相关时间范围内的整个原始流场。即使在本文研究的学术案例中,存储容量也达到了 TB 级,这是一个实际瓶颈。不过,在成本函数合适、时间平均的情况下,时间平均的原始流场可直接用于稳定的邻接求解器,从而大幅减少工作量。
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引用次数: 0
Publisher Correction to: Experimentally Closing the Balance of Progress of Reaction in Premixed Turbulent Combustion in the Thin Flame Regime 出版者对《薄火焰状态下预混合湍流燃烧中反应进展平衡的实验关闭》的更正薄火焰区预混合湍流燃烧中反应进展平衡的实验关闭
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-15 DOI: 10.1007/s10494-024-00545-3
Yutao Zheng, Lee Weller, Simone Hochgreb
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引用次数: 0
A Method to Simulate an Outwardly Propagating Turbulent Premixed Flame at Constant Pressure 模拟恒压下向外传播的湍流预混合火焰的方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-13 DOI: 10.1007/s10494-024-00544-4
Seung Hyun Kim

An outwardly propagating premixed flame in homogeneous isotropic turbulence at constant pressure is considered one of canonical configurations to study turbulent premixed flames. In this paper, a surface forcing method to prevent the undesirable influence of the boundary-condition-induced backflow on the flame evolution, while maintaining the constant pressure, in the simulation of the outwardly propagating flame is presented. The method is validated for laminar and turbulent flames. The results show that the present method well preserves the characteristics of turbulence and of an outwardly propagating flame, without the undesirable influence of the boundary condition, by feeding the homogeneous turbulence relative to the velocity field induced by the volume expansion due to heat release to the domain in which the flame develops.

在恒定压力下的均质各向同性湍流中向外传播的预混火焰被认为是研究湍流预混火焰的典型构型之一。本文提出了一种表面强制方法,用于在模拟向外传播火焰时防止边界条件引起的逆流对火焰演化的不良影响,同时保持压力恒定。该方法对层流火焰和湍流火焰进行了验证。结果表明,本方法通过将热量释放导致的体积膨胀引起的速度场相对于均匀湍流馈入火焰发展的域中,很好地保留了湍流和向外传播火焰的特征,而不会受到边界条件的不良影响。
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引用次数: 0
期刊
Flow, Turbulence and Combustion
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