首页 > 最新文献

International Journal of Spray and Combustion Dynamics最新文献

英文 中文
Discussing the limitations of unconditional stability indicators in evaluating thermoacoustic quality of burners with flames 讨论无条件稳定性指标在评估带火焰燃烧器热声质量方面的局限性
IF 1.6 4区 工程技术 Q3 ENGINEERING, MECHANICAL Pub Date : 2024-07-23 DOI: 10.1177/17568277241265433
Hamed F Ganji, Viktor Kornilov, Jeroen van Oijen, Ines Lopez Arteaga, Philip de Goey
Assessing the thermoacoustic performance of designed combustors, with a focus on the stability quality factor, is crucial. Thermoacoustic instability in combustion appliances arises from intricate interactions among unsteady combustion, heat transfer, and (maybe) acoustic modes within the system. Accurate prediction of system stability requires modeling all components, including the burner with flame. Traditionally, the burner in the presence of combustion is represented as an acoustically (active) two-port block with passive upstream and downstream acoustic terminations. The dispersion relation of the thermoacoustic system is commonly used for anticipating eigen-frequencies and assessing stability. However, practical scenarios often lack specific information about upstream and downstream terminations during development. This raises a critical question: How can the thermoacoustic performance of burners and their associated flames be evaluated without specified acoustics? This article addresses this question by exploring the concept of unconditional stability in a generic two-port thermoacoustic system. The unconditional stability criteria have been used as quality indicators in designing electrical devices. This rich toolbox has been introduced in thermoacoustics. We first scrutinize assumptions underlying two most known unconditional stability-based criteria called [Formula: see text] and [Formula: see text] factors, connecting them to the general thermoacoustic problems. Then, the application of these criteria in assessing the thermoacoustic quality of burners with flames are discussed. This investigation revealed that while they are able to accurately predict the histogram of unstable frequencies and critical frequency bands, their use as reliable indicators to assess thermoacoustic quality in burners are not recommended due to their mathematical limitations and high level of conservatism of these factors.
评估设计燃烧器的热声性能至关重要,重点是稳定性品质因数。燃烧设备中的热声不稳定性源于系统内不稳定燃烧、热传递和(可能)声学模式之间错综复杂的相互作用。要准确预测系统的稳定性,需要对所有组件进行建模,包括带火焰的燃烧器。传统上,存在燃烧的燃烧器被表示为一个声学(主动)双端口块,具有被动的上游和下游声学终端。热声系统的扩散关系通常用于预测特征频率和评估稳定性。然而,在开发过程中,实际方案往往缺乏有关上下游终端的具体信息。这就提出了一个关键问题:在没有特定声学参数的情况下,如何评估燃烧器及其相关火焰的热声性能?本文通过探讨一般双端口热声系统中的无条件稳定性概念来解决这一问题。无条件稳定性标准已被用作设计电气设备的质量指标。热声学中也引入了这一丰富的工具箱。我们首先仔细研究了两个最著名的基于非条件稳定性的标准,即[公式:见正文]和[公式:见正文]因子的基本假设,并将它们与一般热声问题联系起来。然后,讨论了这些标准在评估带火焰燃烧器热声质量中的应用。调查显示,虽然它们能够准确预测不稳定频率直方图和临界频率带,但由于其数学局限性和这些因素的高度保守性,不建议将它们用作评估燃烧器热声质量的可靠指标。
{"title":"Discussing the limitations of unconditional stability indicators in evaluating thermoacoustic quality of burners with flames","authors":"Hamed F Ganji, Viktor Kornilov, Jeroen van Oijen, Ines Lopez Arteaga, Philip de Goey","doi":"10.1177/17568277241265433","DOIUrl":"https://doi.org/10.1177/17568277241265433","url":null,"abstract":"Assessing the thermoacoustic performance of designed combustors, with a focus on the stability quality factor, is crucial. Thermoacoustic instability in combustion appliances arises from intricate interactions among unsteady combustion, heat transfer, and (maybe) acoustic modes within the system. Accurate prediction of system stability requires modeling all components, including the burner with flame. Traditionally, the burner in the presence of combustion is represented as an acoustically (active) two-port block with passive upstream and downstream acoustic terminations. The dispersion relation of the thermoacoustic system is commonly used for anticipating eigen-frequencies and assessing stability. However, practical scenarios often lack specific information about upstream and downstream terminations during development. This raises a critical question: How can the thermoacoustic performance of burners and their associated flames be evaluated without specified acoustics? This article addresses this question by exploring the concept of unconditional stability in a generic two-port thermoacoustic system. The unconditional stability criteria have been used as quality indicators in designing electrical devices. This rich toolbox has been introduced in thermoacoustics. We first scrutinize assumptions underlying two most known unconditional stability-based criteria called [Formula: see text] and [Formula: see text] factors, connecting them to the general thermoacoustic problems. Then, the application of these criteria in assessing the thermoacoustic quality of burners with flames are discussed. This investigation revealed that while they are able to accurately predict the histogram of unstable frequencies and critical frequency bands, their use as reliable indicators to assess thermoacoustic quality in burners are not recommended due to their mathematical limitations and high level of conservatism of these factors.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flame transfer function shaping for robust thermoacoustic systems: Application to a kinematic flame model 稳健热声系统的火焰传递函数整形:运动火焰模型的应用
IF 1.6 4区 工程技术 Q3 Engineering Pub Date : 2024-03-26 DOI: 10.1177/17568277241237068
Johann Moritz Reumschüssel, Paul-Florian Kroll, Jakob GR von Saldern, Christian Oliver Paschereit, Kilian Oberleithner, Alessandro Orchini
This work presents a data-driven optimization technique for the optimization of the flame response within a low-order acoustic network model. The methodology exploits the Nyquist criterion to compute a measure of thermoacoustic robustness at targeted frequencies, which serves as an objective value for the optimized system. The method is demonstrated using a simple Rijke tube model coupled with a [Formula: see text]-equation solver to model flame dynamics. The approach is shown to efficiently increase the stability margin of the system by modifying the flame transfer function. The methodology is applied to two examples, based on which possible scenarios are discussed and the potential and limitations associated with the practical implementation of the method are analyzed.
这项研究提出了一种数据驱动的优化技术,用于优化低阶声学网络模型中的火焰响应。该方法利用奈奎斯特准则计算目标频率的热声鲁棒性,作为优化系统的目标值。该方法使用一个简单的 Rijke 管模型和一个[公式:见正文]方程求解器对火焰动力学进行建模。结果表明,通过修改火焰传递函数,该方法可有效提高系统的稳定裕度。该方法应用于两个实例,在此基础上讨论了可能出现的情况,并分析了与实际应用该方法相关的潜力和局限性。
{"title":"Flame transfer function shaping for robust thermoacoustic systems: Application to a kinematic flame model","authors":"Johann Moritz Reumschüssel, Paul-Florian Kroll, Jakob GR von Saldern, Christian Oliver Paschereit, Kilian Oberleithner, Alessandro Orchini","doi":"10.1177/17568277241237068","DOIUrl":"https://doi.org/10.1177/17568277241237068","url":null,"abstract":"This work presents a data-driven optimization technique for the optimization of the flame response within a low-order acoustic network model. The methodology exploits the Nyquist criterion to compute a measure of thermoacoustic robustness at targeted frequencies, which serves as an objective value for the optimized system. The method is demonstrated using a simple Rijke tube model coupled with a [Formula: see text]-equation solver to model flame dynamics. The approach is shown to efficiently increase the stability margin of the system by modifying the flame transfer function. The methodology is applied to two examples, based on which possible scenarios are discussed and the potential and limitations associated with the practical implementation of the method are analyzed.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Longitudinal and azimuthal thermo-acoustic instabilities in an industrial gas turbine combustor operating at elevated pressure 在高压下运行的工业燃气轮机燃烧器中的纵向和方位热声不稳定性
IF 1.6 4区 工程技术 Q3 Engineering Pub Date : 2023-12-21 DOI: 10.1177/17568277231218595
D. Fredrich, W. P. Jones, A. Marquis, G. Bulat
This work numerically investigates longitudinal and azimuthal thermo-acoustic instabilities in the swirl-stabilised can-type industrial SGT-100 gas turbine combustor operated at elevated pressures of 3 and 6 bar. Previous experiments have shown that the combustor is susceptible to self-excited flame oscillations sustained by a thermo-acoustic feedback loop at specific operating conditions. In order to gain a better understanding of this feedback loop, a fully compressible large eddy simulation method is applied. The unknown sub-grid scale turbulence-chemistry interactions are modelled via a transported probability density function approach solved by the Eulerian stochastic fields method. First, the reaction zones and global flame topology at both operating pressures are analysed and compared to experimental images providing good qualitative agreement. Radial profiles of time-averaged and root-mean-square quantities furthermore demonstrate good quantitative agreement with the available measurement data. The applied simulation approach is capable of successfully reproducing self-excited thermo-acoustic instabilities in the longitudinal direction. The fundamental frequency of the predicted limit-cycle oscillation matches the experimentally measured frequency with high accuracy. Similar to the experimental observations, the fluctuation amplitudes of the pressure and global heat release rate increase significantly upon increasing the mean operating pressure from 3 to 6 bar. In addition to the dominant longitudinal mode, a high-frequency, low-amplitude azimuthal mode is also identified at both pressures. This azimuthal mode is periodically amplified and attenuated by the superposed longitudinal mode and induces small asymmetric (around the burner circumference) fluctuations of the local fuel and total mixture mass flow rates entering the flame region.
本研究对在 3 和 6 巴高压下运行的漩涡稳定罐式工业 SGT-100 燃气轮机燃烧器的纵向和方位热声不稳定性进行了数值研究。之前的实验表明,在特定的运行条件下,燃烧器容易受到热声反馈回路维持的自激火焰振荡的影响。为了更好地了解这一反馈回路,我们采用了完全可压缩的大涡流模拟方法。未知的亚网格尺度湍流-化学相互作用通过欧拉随机场法求解的传输概率密度函数方法进行建模。首先,分析了两种工作压力下的反应区和全局火焰拓扑结构,并与实验图像进行了比较,得出了良好的定性一致结论。此外,时间平均量和均方根量的径向剖面与现有的测量数据也显示出良好的定量一致性。应用的模拟方法能够成功地再现纵向的自激热声不稳定性。预测的极限周期振荡基频与实验测量频率高度精确匹配。与实验观测结果类似,当平均工作压力从 3 巴增加到 6 巴时,压力和全局热释放率的波动幅度显著增加。除了主要的纵向模式外,在两种压力下还发现了一种高频率、低振幅的方位模式。这种方位角模式被叠加的纵向模式周期性地放大和衰减,并引起进入火焰区域的局部燃料和总混合物质量流量的小幅非对称(围绕燃烧器圆周)波动。
{"title":"Longitudinal and azimuthal thermo-acoustic instabilities in an industrial gas turbine combustor operating at elevated pressure","authors":"D. Fredrich, W. P. Jones, A. Marquis, G. Bulat","doi":"10.1177/17568277231218595","DOIUrl":"https://doi.org/10.1177/17568277231218595","url":null,"abstract":"This work numerically investigates longitudinal and azimuthal thermo-acoustic instabilities in the swirl-stabilised can-type industrial SGT-100 gas turbine combustor operated at elevated pressures of 3 and 6 bar. Previous experiments have shown that the combustor is susceptible to self-excited flame oscillations sustained by a thermo-acoustic feedback loop at specific operating conditions. In order to gain a better understanding of this feedback loop, a fully compressible large eddy simulation method is applied. The unknown sub-grid scale turbulence-chemistry interactions are modelled via a transported probability density function approach solved by the Eulerian stochastic fields method. First, the reaction zones and global flame topology at both operating pressures are analysed and compared to experimental images providing good qualitative agreement. Radial profiles of time-averaged and root-mean-square quantities furthermore demonstrate good quantitative agreement with the available measurement data. The applied simulation approach is capable of successfully reproducing self-excited thermo-acoustic instabilities in the longitudinal direction. The fundamental frequency of the predicted limit-cycle oscillation matches the experimentally measured frequency with high accuracy. Similar to the experimental observations, the fluctuation amplitudes of the pressure and global heat release rate increase significantly upon increasing the mean operating pressure from 3 to 6 bar. In addition to the dominant longitudinal mode, a high-frequency, low-amplitude azimuthal mode is also identified at both pressures. This azimuthal mode is periodically amplified and attenuated by the superposed longitudinal mode and induces small asymmetric (around the burner circumference) fluctuations of the local fuel and total mixture mass flow rates entering the flame region.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138953241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lean flameout characteristics and unsteady dynamics of swirling non-premixed flame with and without outer flame 有外火焰和无外火焰的旋流非预混火焰熄火特性及非定常动力学
4区 工程技术 Q3 Engineering Pub Date : 2023-11-07 DOI: 10.1177/17568277231209133
Yuanhong Qi, Bin Hu, Shi Qiang, Jiangbo Peng, Zhao Wei, Qingjun Zhao
The planar laser induced hydroxyl fluorescence (OH-PLIF) technique was used to study three kinds of swirling flame, namely flames I, II, and III, by changing swirl conditions. According to the PLIF results, double structure exists in flames I and II. The inner flame burns in the inner shear layer and is anchored by vortex breakdown, which is similar to the M- or V-shaped flame. The unique outer flame is attached to the inner wall of the air annular nozzle and burns in the outer shear layer. The lean blowout (LBO) equivalent ratio of swirling flame with outer flame is lower than that without outer flame. It is interesting to compare the LBO mechanisms among the three types and the traditional swirling flame, and investigate their unsteady characteristics. Firstly, the flameout process of flames I and II starts from the local extinguishing at the root of the outer flame. However, the LBO process of flame III is consistent with that of traditional swirling flame, that is, it starts with repeated extinguishing and reigniting at the root of the inner recirculation zone (IRZ). Secondly, the unsteady characteristics of the three flames are analyzed by spectral proper orthogonal decomposition. It is found that flame oscillations, asymmetric disturbances, and longitudinal disturbances of different frequencies exist in different combinations under near-LBO conditions. In particular, asymmetric and P-wave disturbances mainly exist in the inner shear layer and jet breaking down, which further indicates the stability and anti-LBO potential of the outer flame.
利用平面激光诱导羟基荧光(OH-PLIF)技术,通过改变旋流条件,对火焰I、火焰II、火焰III三种旋流火焰进行了研究。根据PLIF结果,火焰I和火焰II存在双重结构。内火焰在内剪切层内燃烧,并被旋涡击穿锚定,类似于M型或v型火焰。独特的外火焰附着在空气环形喷嘴内壁上,在外剪切层燃烧。有外焰的旋流火焰贫爆当量比无外焰的低。比较这三种火焰与传统旋转火焰的LBO机制,研究它们的非定常特性是一项有趣的研究。首先,火焰I和II的熄灭过程是从外部火焰根部的局部熄灭开始的。而火焰III的LBO过程与传统旋流火焰的LBO过程是一致的,即从内部再循环区(IRZ)的根部开始反复灭火和重燃。其次,采用光谱固有正交分解法分析了三种火焰的非定常特性。发现在近lbo条件下,火焰振荡、不对称扰动和不同频率的纵向扰动以不同的组合形式存在。特别是不对称扰动和p波扰动主要存在于内剪切层和射流击穿,进一步说明了外火焰的稳定性和抗lbo潜力。
{"title":"Lean flameout characteristics and unsteady dynamics of swirling non-premixed flame with and without outer flame","authors":"Yuanhong Qi, Bin Hu, Shi Qiang, Jiangbo Peng, Zhao Wei, Qingjun Zhao","doi":"10.1177/17568277231209133","DOIUrl":"https://doi.org/10.1177/17568277231209133","url":null,"abstract":"The planar laser induced hydroxyl fluorescence (OH-PLIF) technique was used to study three kinds of swirling flame, namely flames I, II, and III, by changing swirl conditions. According to the PLIF results, double structure exists in flames I and II. The inner flame burns in the inner shear layer and is anchored by vortex breakdown, which is similar to the M- or V-shaped flame. The unique outer flame is attached to the inner wall of the air annular nozzle and burns in the outer shear layer. The lean blowout (LBO) equivalent ratio of swirling flame with outer flame is lower than that without outer flame. It is interesting to compare the LBO mechanisms among the three types and the traditional swirling flame, and investigate their unsteady characteristics. Firstly, the flameout process of flames I and II starts from the local extinguishing at the root of the outer flame. However, the LBO process of flame III is consistent with that of traditional swirling flame, that is, it starts with repeated extinguishing and reigniting at the root of the inner recirculation zone (IRZ). Secondly, the unsteady characteristics of the three flames are analyzed by spectral proper orthogonal decomposition. It is found that flame oscillations, asymmetric disturbances, and longitudinal disturbances of different frequencies exist in different combinations under near-LBO conditions. In particular, asymmetric and P-wave disturbances mainly exist in the inner shear layer and jet breaking down, which further indicates the stability and anti-LBO potential of the outer flame.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135539573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Special issue of the 12th Mediterranean Combustion Symposium 第十二届地中海燃烧研讨会特刊
4区 工程技术 Q3 Engineering Pub Date : 2023-11-05 DOI: 10.1177/17568277231209818
Mohy S. Mansour, Nevin Selçuk, Federico Beretta, Andrea D’Anna
{"title":"Special issue of the 12th Mediterranean Combustion Symposium","authors":"Mohy S. Mansour, Nevin Selçuk, Federico Beretta, Andrea D’Anna","doi":"10.1177/17568277231209818","DOIUrl":"https://doi.org/10.1177/17568277231209818","url":null,"abstract":"","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135725832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Combustion dynamics analysis of a pressurized airblast swirl burner using proper orthogonal decomposition 采用适当的正交分解法对加压鼓风旋流燃烧器的燃烧动力学进行了分析
4区 工程技术 Q3 Engineering Pub Date : 2023-10-27 DOI: 10.1177/17568277231207252
Alireza Ghasemi, Thomas Christou, Jim B.W. Kok, Björn Stelzner, Nikolaos Zarzalis
Jet fuel-fired combustors in aero gas turbine engines have switched to lean burn to decrease nitric oxide emissions in recent years as a result of strict emission regulations. Lean operating conditions, however, exhibit a heightened sensitivity to thermoacoustic instabilities and such burners require careful consideration in design and operation. Similar to natural gas-fired combustors, they exhibit thermoacoustic instabilities, but the characteristics are more complex and less well-studied. This paper presents a numerical investigation of an airblast jet fuel swirl burner operating with preheated air at lean pressurized conditions. In order to understand the acoustic characteristics of the in-house designed burner (Magister UT burner), detached eddy simulations are performed at relevant aero engine conditions. Simulation results are then analyzed by means of our internally developed parallel modal analysis package, PARAMOUNT, to perform proper orthogonal decomposition (POD) on large datasets. The resulting modes are inspected to highlight flow features of interest and their associated acoustic frequencies at unforced conditions. Single frequency acoustic forcing is employed to study the acoustic response of the burner to perturbations at similar frequencies to its precessing vortex core. We show that parallel computation of POD modes is a viable tool to investigate the main flow features of swirl burners and is suitable for highlighting the important acoustic frequencies without the need to employ fully compressible computational fluid dynamics solvers. Additionally, the analysis method reveals the ways in which various flow structures correlate with each other and how external perturbations modify them.
近年来,由于严格的排放法规,航空燃气涡轮发动机的喷气燃料燃烧室已转向稀薄燃烧,以减少一氧化氮的排放。然而,精益操作条件对热声不稳定性表现出更高的敏感性,这种燃烧器在设计和操作时需要仔细考虑。与天然气燃烧的燃烧器类似,它们也表现出热声不稳定性,但其特性更为复杂,研究较少。本文对在稀薄加压条件下使用预热空气的鼓风射流燃料旋流燃烧器进行了数值研究。为了了解自主设计燃烧器(Magister UT燃烧器)的声学特性,在航空发动机相关工况下进行了分离涡流模拟。然后使用我们内部开发的并行模态分析包PARAMOUNT对仿真结果进行分析,以对大型数据集进行适当的正交分解(POD)。对所得模态进行检查,以突出显示感兴趣的流动特征及其在非强制条件下的相关声学频率。采用单频声强迫研究了燃烧器对与其进动涡芯相似频率扰动的声响应。我们表明,POD模态的并行计算是研究旋流燃烧器主要流动特征的可行工具,并且适合于突出重要的声学频率,而无需使用完全可压缩的计算流体动力学求解器。此外,分析方法揭示了各种流动结构相互关联的方式以及外部扰动如何改变它们。
{"title":"Combustion dynamics analysis of a pressurized airblast swirl burner using proper orthogonal decomposition","authors":"Alireza Ghasemi, Thomas Christou, Jim B.W. Kok, Björn Stelzner, Nikolaos Zarzalis","doi":"10.1177/17568277231207252","DOIUrl":"https://doi.org/10.1177/17568277231207252","url":null,"abstract":"Jet fuel-fired combustors in aero gas turbine engines have switched to lean burn to decrease nitric oxide emissions in recent years as a result of strict emission regulations. Lean operating conditions, however, exhibit a heightened sensitivity to thermoacoustic instabilities and such burners require careful consideration in design and operation. Similar to natural gas-fired combustors, they exhibit thermoacoustic instabilities, but the characteristics are more complex and less well-studied. This paper presents a numerical investigation of an airblast jet fuel swirl burner operating with preheated air at lean pressurized conditions. In order to understand the acoustic characteristics of the in-house designed burner (Magister UT burner), detached eddy simulations are performed at relevant aero engine conditions. Simulation results are then analyzed by means of our internally developed parallel modal analysis package, PARAMOUNT, to perform proper orthogonal decomposition (POD) on large datasets. The resulting modes are inspected to highlight flow features of interest and their associated acoustic frequencies at unforced conditions. Single frequency acoustic forcing is employed to study the acoustic response of the burner to perturbations at similar frequencies to its precessing vortex core. We show that parallel computation of POD modes is a viable tool to investigate the main flow features of swirl burners and is suitable for highlighting the important acoustic frequencies without the need to employ fully compressible computational fluid dynamics solvers. Additionally, the analysis method reveals the ways in which various flow structures correlate with each other and how external perturbations modify them.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136261757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Euler–Lagrange numerical simulation of a kerosene droplet mist ignition in air using analytically reduced chemistry 用解析还原化学对空气中煤油雾滴点火的欧拉-拉格朗日数值模拟
4区 工程技术 Q3 Engineering Pub Date : 2023-10-12 DOI: 10.1177/17568277231203620
Antoine Pestre, Thomas Lesaffre, Quentin Cazères, Eleonore Riber, Bénédicte Cuenot
High altitude relight is a critical aspect of the aeronautical engine certification and may be addressed with the numerical simulation of two-phase ignition. However, such configurations are stiff and combined with local evaporation may lead to numerical issues. This paper provides several methods to perform two-phase ignition simulations using analytically reduced chemistry in the context of unstructured large Eddy simulation and Euler–Lagrange formalism. Firstly, an exponential formulation combined with a local and dynamic sub-cycling of the stiff chemistry is demonstrated to allow stable integration at the flow time step. Secondly, a particle-bursting method is applied to limit the impact of stiffness induced by the Lagrangian point-source approach in fine meshes. These methods are then applied in the simulation of ignition of a mono-disperse, multi-component kerosene spray in air. The use of the analytically reduced chemistry model enables us to describe in detail the chemical structure of the flame kernel during its formation. Moreover, local increase of fuel concentration is observed as the ignition proceeds which has a large influence on the combustion processes and the flame kernel development.
高空重燃是航空发动机认证的一个关键问题,可以通过两相点火的数值模拟来解决。然而,这种结构是刚性的,并且与局部蒸发相结合可能导致数值问题。本文提供了几种在非结构化大涡流模拟和欧拉-拉格朗日形式理论的背景下,使用解析还原化学进行两相点火模拟的方法。首先,证明了结合局部和动态的刚性化学子循环的指数公式可以在流动时间步长实现稳定的积分。其次,在精细网格中,采用颗粒爆破方法限制拉格朗日点源法引起的刚度影响。然后将这些方法应用于单分散、多组分煤油喷雾在空气中的点火模拟。分析还原化学模型的使用使我们能够详细地描述火焰核形成过程中的化学结构。随着点火过程的进行,燃料浓度会局部升高,这对燃烧过程和火焰核的发展有很大的影响。
{"title":"Euler–Lagrange numerical simulation of a kerosene droplet mist ignition in air using analytically reduced chemistry","authors":"Antoine Pestre, Thomas Lesaffre, Quentin Cazères, Eleonore Riber, Bénédicte Cuenot","doi":"10.1177/17568277231203620","DOIUrl":"https://doi.org/10.1177/17568277231203620","url":null,"abstract":"High altitude relight is a critical aspect of the aeronautical engine certification and may be addressed with the numerical simulation of two-phase ignition. However, such configurations are stiff and combined with local evaporation may lead to numerical issues. This paper provides several methods to perform two-phase ignition simulations using analytically reduced chemistry in the context of unstructured large Eddy simulation and Euler–Lagrange formalism. Firstly, an exponential formulation combined with a local and dynamic sub-cycling of the stiff chemistry is demonstrated to allow stable integration at the flow time step. Secondly, a particle-bursting method is applied to limit the impact of stiffness induced by the Lagrangian point-source approach in fine meshes. These methods are then applied in the simulation of ignition of a mono-disperse, multi-component kerosene spray in air. The use of the analytically reduced chemistry model enables us to describe in detail the chemical structure of the flame kernel during its formation. Moreover, local increase of fuel concentration is observed as the ignition proceeds which has a large influence on the combustion processes and the flame kernel development.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135969985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Assessment of the pseudopotential lattice-Boltzmann method for modeling multiphase fueldroplets 模拟多相燃料液滴的伪势晶格-玻尔兹曼方法的评价
4区 工程技术 Q3 Engineering Pub Date : 2023-10-12 DOI: 10.1177/17568277231202030
Juan Restrepo-Cano, Francisco E. Hernández-Pérez, Hong G. Im
An improved pseudopotential lattice–Boltzmann model was proposed for simulating multiphase flow dynamics to describe fuel droplets, and its thermodynamic consistency was tested against the Peng–Robinson equation of state. The studied liquid fuels included paraffinic hydrocarbons with a different number of carbon atoms (C[Formula: see text]–C[Formula: see text]), methanol (CH[Formula: see text]OH), hydrogen (H[Formula: see text]), ammonia (NH[Formula: see text]), and water (H[Formula: see text]O). To improve accuracy and reduce the magnitude of the spurious currents, the multi-relaxation times collision operator was implemented and the forcing term was computed using the hybrid pseudopotential interaction force with an eighth-order isotropic degree. The pseudopotential lattice–Boltzmann model accurately predicted the equilibrium densities and captured satisfactorily the thermodynamic vapor-liquid coexistence curve given by the analytical solution of the Peng–Robinson equation of state for acentric factors ranging from [Formula: see text]0.22 to 0.56, keeping the maximum average error for the liquid and vapor branches below 0.8% and 3.7%, respectively. Nevertheless, Peng–Robinson was found to be insufficiently accurate to replicate the actual thermodynamic state, especially for H[Formula: see text]O and CH[Formula: see text]OH, for which the results strongly deviated from the experimental vapor-liquid equilibrium densities and reached average errors for the vapor phase of nearly 28%. Furthermore, the surface tension ([Formula: see text]) was retrieved using the multiphase pseudopotential lattice–Boltzmann results and served to verify the thermodynamic consistency of the pseudopotential lattice–Boltzmann with respect to the parachor model. Lastly, the pseudopotential lattice–Boltzmann model was also shown to predict accurately the transient behavior of oscillating droplets. Overall, the enhanced model satisfactorily predicted the properties and behavior of the substances for a wide range of conditions.
提出了一种改进的伪势格-玻尔兹曼模型来模拟燃料液滴的多相流动动力学,并与Peng-Robinson状态方程进行了热力学一致性测试。所研究的液体燃料包括具有不同碳原子数的石蜡烃(C[公式:见文]-C[公式:见文])、甲醇(CH[公式:见文]OH)、氢(H[公式:见文])、氨(NH[公式:见文])和水(H[公式:见文]O)。为了提高精度和减小杂散电流的大小,引入了多松弛次碰撞算子,并采用八阶各向同性的混合伪势相互作用力计算了作用力项。伪势晶格-玻尔兹曼模型准确地预测了平衡密度,并令人满意地捕获了彭-罗宾逊状态方程解析解给出的无中心因子范围为0.22 ~ 0.56的汽液共存热力学曲线,使液体和蒸汽分支的最大平均误差分别低于0.8%和3.7%。然而,Peng-Robinson被发现精度不足以复制实际的热力学状态,特别是对于H[公式:见文]O和CH[公式:见文]OH,其结果与实验汽液平衡密度有很大偏差,气相的平均误差接近28%。此外,使用多相伪势晶格-玻尔兹曼结果检索了表面张力(公式:见文本),并用于验证伪势晶格-玻尔兹曼相对于降落伞模型的热力学一致性。最后,伪势晶格-玻尔兹曼模型也被证明可以准确地预测振荡液滴的瞬态行为。总的来说,增强模型令人满意地预测了各种条件下物质的性质和行为。
{"title":"Assessment of the pseudopotential lattice-Boltzmann method for modeling multiphase fueldroplets","authors":"Juan Restrepo-Cano, Francisco E. Hernández-Pérez, Hong G. Im","doi":"10.1177/17568277231202030","DOIUrl":"https://doi.org/10.1177/17568277231202030","url":null,"abstract":"An improved pseudopotential lattice–Boltzmann model was proposed for simulating multiphase flow dynamics to describe fuel droplets, and its thermodynamic consistency was tested against the Peng–Robinson equation of state. The studied liquid fuels included paraffinic hydrocarbons with a different number of carbon atoms (C[Formula: see text]–C[Formula: see text]), methanol (CH[Formula: see text]OH), hydrogen (H[Formula: see text]), ammonia (NH[Formula: see text]), and water (H[Formula: see text]O). To improve accuracy and reduce the magnitude of the spurious currents, the multi-relaxation times collision operator was implemented and the forcing term was computed using the hybrid pseudopotential interaction force with an eighth-order isotropic degree. The pseudopotential lattice–Boltzmann model accurately predicted the equilibrium densities and captured satisfactorily the thermodynamic vapor-liquid coexistence curve given by the analytical solution of the Peng–Robinson equation of state for acentric factors ranging from [Formula: see text]0.22 to 0.56, keeping the maximum average error for the liquid and vapor branches below 0.8% and 3.7%, respectively. Nevertheless, Peng–Robinson was found to be insufficiently accurate to replicate the actual thermodynamic state, especially for H[Formula: see text]O and CH[Formula: see text]OH, for which the results strongly deviated from the experimental vapor-liquid equilibrium densities and reached average errors for the vapor phase of nearly 28%. Furthermore, the surface tension ([Formula: see text]) was retrieved using the multiphase pseudopotential lattice–Boltzmann results and served to verify the thermodynamic consistency of the pseudopotential lattice–Boltzmann with respect to the parachor model. Lastly, the pseudopotential lattice–Boltzmann model was also shown to predict accurately the transient behavior of oscillating droplets. Overall, the enhanced model satisfactorily predicted the properties and behavior of the substances for a wide range of conditions.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135969986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple structures and transition mechanisms of laminar fuel-rich ethanol/air counterflowing spray flames 层流富燃料乙醇/空气逆流喷雾火焰的多重结构和过渡机制
IF 1.6 4区 工程技术 Q3 Engineering Pub Date : 2023-08-23 DOI: 10.1177/17568277231193331
Zhaoping Ying, E. Gutheil
Structures of laminar non-premixed ethanol/air spray flames in the axisymmetric counterflow configuration are studied under fuel-rich conditions by means of numerical simulations. The monodisperse ethanol spray is carried by air and directed against an air stream. Both streams enter at 300 K, and the system is at atmospheric pressure. Up to three different structures of these flames for identical boundary and initial conditions are identified, and regime diagrams are presented that show their conditions of existence in terms of the gas strain rate on the spray side of the configuration, [Formula: see text], starting from 55/s at an initial spray velocity of 0.44 m/s. The equivalence ratio on the spray side, [Formula: see text], is varied between 1.1 and 1.6, and initial droplet radii, [Formula: see text], from 10 to 50 [Formula: see text]m are considered. The most stable spray flame structure is characterized by two chemical reaction zones. For some conditions, single chemical reaction zones on either side of the counterflow configuration are found. Conditions under which these different flame structures exist are analyzed. Previous studies identified only two different structures for non-identical boundary conditions, and in this study, three different structures are presented for the first time. Moreover, the transition mechanisms of one structure to another are analyzed. The competition between the energy-consuming spray evaporation and the exothermic chemical reaction rates as well as the location of the spray determines the existence of the different flame structures. This transition of the different flame structures may explain spray flame characteristics such as flame pulsation or flame instabilities.
采用数值模拟的方法,研究了富燃料条件下非预混乙醇/空气层流喷射火焰在轴对称逆流状态下的结构。单分散乙醇喷雾由空气携带,并直接对着气流。两股气流在300k时进入,系统处于大气压力下。在相同的边界和初始条件下,识别出多达三种不同结构的火焰,并给出了状态图,显示了它们在配置的喷雾侧的气体应变率方面的存在条件,[公式:见文本],从55/s开始,初始喷雾速度为0.44 m/s。考虑喷雾侧等效比[公式:见文]在1.1 ~ 1.6之间变化,初始液滴半径[公式:见文]在10 ~ 50[公式:见文]m之间变化。最稳定的喷焰结构以两个化学反应区为特征。在某些条件下,逆流构型的两侧存在单一化学反应区。分析了这些不同火焰结构存在的条件。以往的研究只确定了两种不同的边界条件下的结构,而在本研究中,首次提出了三种不同的结构。此外,还分析了一种结构向另一种结构的过渡机制。消耗能量的喷雾蒸发与放热化学反应速率之间的竞争以及喷雾的位置决定了不同火焰结构的存在。这种不同火焰结构的转变可以解释喷雾火焰的特征,如火焰脉动或火焰不稳定性。
{"title":"Multiple structures and transition mechanisms of laminar fuel-rich ethanol/air counterflowing spray flames","authors":"Zhaoping Ying, E. Gutheil","doi":"10.1177/17568277231193331","DOIUrl":"https://doi.org/10.1177/17568277231193331","url":null,"abstract":"Structures of laminar non-premixed ethanol/air spray flames in the axisymmetric counterflow configuration are studied under fuel-rich conditions by means of numerical simulations. The monodisperse ethanol spray is carried by air and directed against an air stream. Both streams enter at 300 K, and the system is at atmospheric pressure. Up to three different structures of these flames for identical boundary and initial conditions are identified, and regime diagrams are presented that show their conditions of existence in terms of the gas strain rate on the spray side of the configuration, [Formula: see text], starting from 55/s at an initial spray velocity of 0.44 m/s. The equivalence ratio on the spray side, [Formula: see text], is varied between 1.1 and 1.6, and initial droplet radii, [Formula: see text], from 10 to 50 [Formula: see text]m are considered. The most stable spray flame structure is characterized by two chemical reaction zones. For some conditions, single chemical reaction zones on either side of the counterflow configuration are found. Conditions under which these different flame structures exist are analyzed. Previous studies identified only two different structures for non-identical boundary conditions, and in this study, three different structures are presented for the first time. Moreover, the transition mechanisms of one structure to another are analyzed. The competition between the energy-consuming spray evaporation and the exothermic chemical reaction rates as well as the location of the spray determines the existence of the different flame structures. This transition of the different flame structures may explain spray flame characteristics such as flame pulsation or flame instabilities.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46052652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of fuel Lewis number on the minimum ignition energy and its transition for turbulent homogeneous fuel–air mixtures 湍流均匀燃料-空气混合物中燃料Lewis数对最小点火能量及其跃迁的影响
IF 1.6 4区 工程技术 Q3 Engineering Pub Date : 2023-07-19 DOI: 10.1177/17568277231187494
V. Papapostolou, N. Chakraborty
The effects of fuel Lewis number on the minimum ignition energy (MIE) requirements for ensuring successful thermal runaway, and self-sustained flame propagation have been analysed for forced ignition of homogeneous fuel–air mixtures under decaying turbulence for a wide range of initial turbulence intensities using three-dimensional direct numerical simulations. The minimum energy demand for ensuring self-sustained flame propagation has been found to be greater than that for ensuring only thermal runaway irrespective of its outcome for large turbulence intensities, and the minimum ignition energy increases with increasing rms turbulent velocity irrespective of the fuel Lewis number. The MIE values have been found to increase more sharply with increasing turbulence intensity beyond a critical value for all fuel Lewis numbers considered here. The variations of the normalised MIE (MIE normalised by its laminar value) with increasing turbulence intensity beyond the critical point follow a power-law and the power-law exponent has been found to increase with an increase in fuel Lewis number. This behaviour has been explained using a scaling analysis. The stochasticity associated with forced ignition has been demonstrated by using different realisations of statistically similar turbulent flow fields for the energy inputs corresponding to the MIE and successful outcomes are obtained in most instances, justifying the evaluation of the MIE values in this analysis.
使用三维直接数值模拟,分析了燃料路易斯数对确保成功热失控的最小点火能量(MIE)要求以及均匀燃料-空气混合物在衰减湍流下的自持火焰传播的影响。已发现,无论大湍流强度的结果如何,确保自持火焰传播的最小能量需求都大于仅确保热失控的最小能量要求,并且无论燃料路易斯数如何,最小点火能量都随着均方根湍流速度的增加而增加。已经发现MIE值随着湍流强度的增加而急剧增加,超过此处考虑的所有燃料Lewis数的临界值。归一化MIE(通过其层流值归一化的MIE)随着湍流强度的增加而超过临界点的变化遵循幂律,并且幂律指数随着燃料Lewis数的增加而增加。这种行为已经通过比例分析进行了解释。通过对与MIE相对应的能量输入使用统计上相似的湍流场的不同实现,已经证明了与强制点火相关的随机性,并且在大多数情况下都获得了成功的结果,证明了本分析中MIE值的评估是合理的。
{"title":"Effects of fuel Lewis number on the minimum ignition energy and its transition for turbulent homogeneous fuel–air mixtures","authors":"V. Papapostolou, N. Chakraborty","doi":"10.1177/17568277231187494","DOIUrl":"https://doi.org/10.1177/17568277231187494","url":null,"abstract":"The effects of fuel Lewis number on the minimum ignition energy (MIE) requirements for ensuring successful thermal runaway, and self-sustained flame propagation have been analysed for forced ignition of homogeneous fuel–air mixtures under decaying turbulence for a wide range of initial turbulence intensities using three-dimensional direct numerical simulations. The minimum energy demand for ensuring self-sustained flame propagation has been found to be greater than that for ensuring only thermal runaway irrespective of its outcome for large turbulence intensities, and the minimum ignition energy increases with increasing rms turbulent velocity irrespective of the fuel Lewis number. The MIE values have been found to increase more sharply with increasing turbulence intensity beyond a critical value for all fuel Lewis numbers considered here. The variations of the normalised MIE (MIE normalised by its laminar value) with increasing turbulence intensity beyond the critical point follow a power-law and the power-law exponent has been found to increase with an increase in fuel Lewis number. This behaviour has been explained using a scaling analysis. The stochasticity associated with forced ignition has been demonstrated by using different realisations of statistically similar turbulent flow fields for the energy inputs corresponding to the MIE and successful outcomes are obtained in most instances, justifying the evaluation of the MIE values in this analysis.","PeriodicalId":49046,"journal":{"name":"International Journal of Spray and Combustion Dynamics","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49457110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
International Journal of Spray and Combustion Dynamics
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1