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Turbofan Performance Estimation Using Neural Network Component Maps and Genetic Algorithm-Least Squares Solvers 使用神经网络组件图和遗传算法最小二乘法求解器估算涡轮风扇性能
IF 1.3 Q2 ENGINEERING, AEROSPACE Pub Date : 2024-07-23 DOI: 10.3390/ijtpp9030027
Giuseppe Lombardo, Pierantonio Lo Greco, Ivano Benedetti
Computational models of turbofans that are oriented to assist the design and testing of innovative components are of fundamental importance in order to reduce their environmental impact. In this paper, we present an effective method for developing numerical turbofan models that allows reliable steady-state turbofan performance calculations. The main difference between the proposed method and those used in various commercial algorithms, such as GasTurb, GSP 12 and NPSS, is the use of neural networks as a multidimensional interpolation method for rotational component maps instead of classical β parameter. An additional aspect of fundamental importance lies in the simplicity of implementing this method in Matlab and the high degree of customization of the turbofan components without performing any manipulation of variables for the purpose of reducing the dimensionality of the problem, which would normally lead to a high condition number of the Jacobian matrix associated with the nonlinear turbofan system (and, thus, to significant error). In the proposed methodology, the component behavior can be modeled by analytical relationships and through the use of neural networks trained from component bench test data or data obtained from CFD simulations. Generalization of rotational component maps by feedforward neural networks leads to an average interpolation error up to around 1%, for all variables. The resulting nonlinear system is solved by a combined genetic algorithm and least squares algorithm approach, instead of the standard Newton’s method. The turbofan numerical model turns out to be convergent, and results suggest that the trend in overall turbofan performance, as flight conditions change, is in agreement with the outputs of the GSP 12 software.
涡轮风扇的计算模型可以帮助设计和测试创新部件,对于减少其对环境的影响至关重要。在本文中,我们提出了一种开发涡轮风扇数值模型的有效方法,可以进行可靠的稳态涡轮风扇性能计算。所提出的方法与各种商业算法(如 GasTurb、GSP 12 和 NPSS)中使用的方法的主要区别在于使用神经网络作为旋转分量图的多维插值方法,而不是传统的 β 参数。另外一个重要方面是,在 Matlab 中实施这种方法非常简单,而且可以高度定制涡轮风扇组件,无需为了降低问题的维度而对变量进行任何操作,因为这通常会导致与非线性涡轮风扇系统相关的雅各布矩阵的条件数过高(从而产生重大误差)。在建议的方法中,可以通过分析关系和使用根据部件台架测试数据或 CFD 模拟数据训练的神经网络来模拟部件行为。通过前馈神经网络对旋转部件图进行泛化,所有变量的平均插值误差可达 1%左右。由此产生的非线性系统采用遗传算法和最小二乘法相结合的方法求解,而不是标准的牛顿法。结果表明,涡轮风扇数值模型是收敛的,而且结果表明,随着飞行条件的变化,涡轮风扇整体性能的变化趋势与 GSP 12 软件的输出结果是一致的。
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引用次数: 0
Experimental Investigation of an Efficient and Lightweight Designed Counter-Rotating Shrouded Fan Stage 高效轻量化设计的对旋罩式风扇级的实验研究
IF 1.3 Q2 ENGINEERING, AEROSPACE Pub Date : 2024-07-03 DOI: 10.3390/ijtpp9030026
T. Lengyel-Kampmann, J. Karboujian, Guillaume Charroin, P. Winkelmann
The German Aerospace Center designed, aero-mechanically optimized and experimentally investigated its own counter-rotating shrouded fan stage in the frame of the project CRISPmulti. Their target and the motivation of this work was, on the one hand, the generation of a highly accurate experimental database for the validation of the modern numerical design and optimization processes, and on the other hand, the development of a new innovative technology for the manufacturing of 3D fan blades made of a lightweight CFRP material. The original CRISP-1m test rig designed by the MTU Aero Engines in the 1980s was reused with the new blading for experimental investigation in the Multistage Two-Shaft Compressor Test Facility (M2VP) of the DLR in Cologne. The evaluation of the steady measurement results and the validation of the numerical simulation based on the pressure and temperature measurement are presented in this paper.
德国航空航天中心在 CRISPmulti 项目框架内设计、优化和实验研究了自己的反向旋转护罩风扇级。这项工作的目标和动机一方面是为现代数值设计和优化过程的验证生成高精度的实验数据库,另一方面是开发一种新的创新技术,用于制造由轻质 CFRP 材料制成的三维风扇叶片。由 MTU 航空发动机公司在 20 世纪 80 年代设计的 CRISP-1m 试验台与新叶片一起被重新使用,在科隆德国航空和航天中心的多级双轴压缩机试验设施(M2VP)中进行实验研究。本文介绍了对稳定测量结果的评估以及基于压力和温度测量的数值模拟的验证。
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引用次数: 1
Experimental Investigation of the Sensitivity of Forced Response to Cold Streaks in an Axial Turbine 轴流式涡轮机强制响应对冷流敏感性的实验研究
IF 1.3 Q2 ENGINEERING, AEROSPACE Pub Date : 2024-07-02 DOI: 10.3390/ijtpp9030024
Lennart Stania, Felix Ludeneit, J. Seume
In turbomachinery, geometric variances of the blades, due to manufacturing tolerances, deterioration over a lifetime, or blade repair, can influence overall aerodynamic performance as well as aeroelastic behaviour. In cooled turbine blades, such deviations may lead to streaks of high or low temperature. It has already been shown that hot streaks from the combustors lead to inhomogeneity in the flow path, resulting in increased blade dynamic stress. However, not only hot streaks but also cold streaks occur in modern aircraft engines due to deterioration-induced widening of cooling holes. This work investigates this effect in an experimental setup of a five-stage axial turbine. Cooling air is injected through the vane row of the fourth stage at midspan, and the vibration amplitudes of the blades in rotor stage five are measured with a tip-timing system. The highest injected mass flow rate is 2% of the total mass flow rate for a low-load operating point. The global turbine parameters change between the reference case without cooling air and the cold streak case. This change in operating conditions is compensated such that the corrected operating point is held constant throughout the measurements. It is shown that the cold streak is deflected in the direction of the hub and detected at 40% channel height behind the stator vane of the fifth stage. The averaged vibration amplitude over all blades increases by 20% for the cold streak case compared to the reference during low-load operating of the axial turbine. For operating points with higher loads, however, no increase in averaged vibration amplitude exceeding the measurement uncertainties is observed because the relative cooling mass flow rate is too low. It is shown that the cold streak only influences the pressure side and leads to a widening of the wake deficit. This is identified as the reason for the increased forcing on the blade. The conclusion is that an accurate prediction of the blade’s lifetime requires consideration of the cooling air within the design process and estimation of changes in cooling air mass flow rate throughout the blade’s lifetime.
在涡轮机械中,由于制造公差、寿命衰减或叶片维修造成的叶片几何差异会影响整体气动性能和气动弹性行为。在冷却涡轮叶片中,这种偏差可能导致高温或低温条纹。已有研究表明,来自燃烧器的热条纹会导致流道不均匀,从而增加叶片的动态应力。然而,在现代飞机发动机中,由于老化导致冷却孔变宽,不仅会出现热条纹,还会出现冷条纹。本研究在一个五级轴流涡轮机的实验装置中对这种效应进行了研究。冷却空气通过第四级中跨的叶片排注入,并通过叶尖定时系统测量第五级转子叶片的振动幅度。在低负荷运行点,最高注入质量流量为总质量流量的 2%。在无冷却空气参考情况和冷链情况之间,涡轮机的整体参数会发生变化。对运行条件的这种变化进行了补偿,使修正后的运行点在整个测量过程中保持不变。测量结果表明,冷链向轮毂方向偏转,并在第五级定子叶片后方 40% 的通道高度处被检测到。在轴流式涡轮机低负荷运行时,所有叶片的平均振动振幅与参考值相比增加了 20%。然而,对于较高负荷的运行点,由于相对冷却质量流量太低,没有观察到超过测量不确定性的平均振幅增加。研究表明,冷链只影响压力侧,并导致尾流赤字扩大。这就是叶片受力增加的原因。结论是,要准确预测叶片的使用寿命,需要在设计过程中考虑冷却空气,并估算叶片整个使用寿命期间冷却空气质量流量的变化。
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引用次数: 0
Heat Load Development and Heat Map Sensitivity Analysis for Civil Aero-Engines 民用航空发动机热负荷开发和热图敏感性分析
IF 1.3 Q2 ENGINEERING, AEROSPACE Pub Date : 2024-07-02 DOI: 10.3390/ijtpp9030025
Alireza Ebrahimi, S. Jafari, T. Nikolaidis
The design complexity of the new generation of civil aero-engines results in higher demands on engines’ components, higher component temperatures, higher heat generation, and, finally, critical thermal management issues. This paper will propose a methodological approach to creating physics-based models for heat loads developed by sources, as well as a systematic sensitivity analysis to identify the effects of design parameters on the thermal behavior of civil aero-engines. The ranges and levels of heat loads generated by heat sources (e.g., accessory gearbox, bearing, pumps, etc.) and the heat absorption capacity of heat sinks (e.g., engine fuel, oil, and air) are discussed systematically. The practical research challenges for thermal management system design and development for the new and next generation of turbofan engines will then be addressed through a sensitivity analysis of the heat load values as well as the heat sink flow rates. The potential solutions for thermal performance enhancements of propulsion systems will be proposed and discussed accordingly.
新一代民用航空发动机的设计复杂性导致了对发动机部件的更高要求、更高的部件温度、更高的发热量以及最终的关键热管理问题。本文将提出一种方法,为热源产生的热负荷创建基于物理的模型,并进行系统的敏感性分析,以确定设计参数对民用航空发动机热行为的影响。系统地讨论了热源(如附件齿轮箱、轴承、泵等)产生的热负荷范围和水平,以及散热器(如发动机燃料、机油和空气)的吸热能力。然后,将通过对热负荷值和散热片流速的敏感性分析,探讨新一代涡扇发动机热管理系统设计和开发的实际研究挑战。相应地,还将提出并讨论提高推进系统热性能的潜在解决方案。
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引用次数: 0
Numerical Investigation of Forced Response in a Transonic Compressor Stage—Highlighting Challenges Using Experimental Validation 跨音速压缩机级强制响应的数值研究--利用实验验证凸显挑战
IF 1.4 Q3 Engineering Pub Date : 2024-06-06 DOI: 10.3390/ijtpp9020022
Nicklas Kilian, Fabian Klausmann, Daniel Spieker, H. Schiffer, M. G. Salas
An experiment-supported simulation process chain is set up to perform numerical forced response analyses on a transonic high-pressure compressor front stage at varying operating conditions. A wake generator is used upstream of the rotor to excite a specific resonance within the operating range of the compressor. Thereby, extensive aerodynamic and structural dynamic experimental data, obtained from state-of-the-art rig testing at the Transonic Compressor Darmstadt test facility at the Technical University of Darmstadt, are used to validate numerical results and ensure realistic boundary conditions. In the course of this, five-hole-probe measurements at steady operating conditions close to the investigated resonance enable a validation of the steady aerodynamics. Subsequently, numerically obtained aeroelastic quantities, such as resonance frequency, and damping, as well as maximum alternating blade stresses and tip deflections, are compared to experimental blade tip timing data. Experimental trends in damping can be confirmed and better explained by considering numerical results regarding the aerodynamic wall work density and secondary flow phenomena. The influence of varying loading conditions on the resonance frequency is not observed as distinctly in numerical, as in experimental results. Generally, alternating blade stresses and deflections appear to be significantly lower than in the experiments. However, similar to the aerodynamic damping, numerical results contribute to a better understanding of experimental trends. The successive experimental validation shows the capabilities of the numerical forced response analysis setup and enables the highlighting of challenges and identification of potential further adaptations.
建立了一个实验支持模拟流程链,以便在不同运行条件下对跨音速高压压缩机前级进行数值强迫响应分析。转子上游使用了尾流发生器,以激发压缩机工作范围内的特定共振。因此,从达姆施塔特技术大学的达姆施塔特跨音速压缩机测试设施的最先进钻机测试中获得的大量空气动力和结构动态实验数据被用来验证数值结果,并确保边界条件的真实性。在此过程中,在接近所研究共振的稳定运行条件下进行的五孔探针测量验证了稳定空气动力学。随后,通过数值获得的气动弹性量,如共振频率和阻尼,以及最大交变叶片应力和叶尖偏转,与叶尖计时实验数据进行了比较。通过考虑有关气动壁面功密度和二次流现象的数值结果,可以证实并更好地解释阻尼的实验趋势。在数值结果和实验结果中都没有观察到不同加载条件对共振频率的影响。一般来说,交变叶片应力和挠度似乎明显低于实验结果。然而,与气动阻尼类似,数值结果有助于更好地理解实验趋势。连续的实验验证显示了数值强迫响应分析设置的能力,并有助于突出挑战和识别潜在的进一步调整。
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引用次数: 0
Numerical Investigation of the Excitation Characteristics of Contaminated Nozzle Rings 对受污染喷嘴环激励特性的数值研究
IF 1.4 Q3 Engineering Pub Date : 2024-06-04 DOI: 10.3390/ijtpp9020021
M. R. Beierl, Damian M. Vogt, Magnus Fischer, Tobias R. Müller, Kwok Kai So
The deposition of combustion residues in the nozzle ring (NR) of a turbocharger turbine stage changes the NR geometry significantly in a random manner. The resultant complex and highly asymmetric geometry induces low engine order (LEO) excitation, which may lead to resonance excitation of rotor blades and high cycle fatigue (HCF) failure. Therefore, a suitable prediction workflow is of great importance for the design and validation phases. The prediction of LEO excitation is, however, computationally expensive as high-fidelity, full annulus CFD models are required. Previous investigations showed that a steady-state computational model consisting of the volute, the NR, and a radial extension is suitable to reduce the computational costs massively and to qualitatively predict the level of LEO forced response. In the current paper, the aerodynamic excitation of 69 real contaminated NRs is analyzed using this simplified approach. The results obtained by the simplified simulation model are used to select 13 contaminated NR geometries, which are then simulated with a model of the entire turbine stage, including the rotor, in a transient time-marching manner to provide high-fidelity simulation results for the verification of the simplified approach. Furthermore, two contamination patterns are analyzed in a more detailed manner regarding their aerodynamic excitation. It is found that the simplified model can be used to identify and classify contamination patterns that lead to high blade vibration amplitudes. In cases where transient effects occurring in the rotor alter the harmonic pressure field significantly, the ability of the simplified approach to predict the LEO excitation is not sufficient.
燃烧残留物在涡轮增压器涡轮级喷嘴环(NR)中的沉积会以随机方式显著改变 NR 的几何形状。由此产生的复杂且高度不对称的几何形状会诱发发动机低阶(LEO)激励,从而可能导致转子叶片的共振激励和高循环疲劳(HCF)故障。因此,合适的预测工作流程对于设计和验证阶段非常重要。然而,低地轨道激振预测的计算成本很高,因为需要高保真的全环 CFD 模型。之前的研究表明,由涡壳、NR 和径向延伸部分组成的稳态计算模型可大幅降低计算成本,并可定性预测低地轨道强迫响应水平。本文采用这种简化方法分析了 69 个实际污染 NR 的气动激励。简化仿真模型得到的结果被用于选择 13 种污染 NR 几何形状,然后用包括转子在内的整个涡轮级模型以瞬态时间进行仿真,从而为验证简化方法提供高保真仿真结果。此外,还对两种污染模式的空气动力激励进行了更详细的分析。结果发现,简化模型可用于识别和分类导致高叶片振动幅度的污染模式。在转子中发生的瞬态效应显著改变谐波压力场的情况下,简化方法不足以预测低地轨道激励。
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引用次数: 0
Rotating Stall Inception Prediction Using an Eigenvalue-Based Global Instability Analysis Method 使用基于特征值的全局不稳定性分析方法进行旋转失速起始预测
IF 1.4 Q3 Engineering Pub Date : 2024-06-04 DOI: 10.3390/ijtpp9020020
Shenren Xu, Caijia Yuan, Chen He, Dongming Cao, Dakun Sun, Carlos Martel, Huihao Chen, Dingxi Wang
The accurate prediction of rotating stall inception is critical for determining the stable operating regime of a compressor. Among the two widely accepted pathways to stall, namely, modal and spike, the former is plausibly believed to originate from a global linear instability, and experiments have partially confirmed it. As for the latter, recent computational and experimental findings have shown it to exhibit itself as a rapidly amplified flow perturbation. However, rigorous analysis has yet to be performed to prove that this is due to global linear instability. In this work, an eigenanalysis approach is used to investigate the rotating stall inception of a transonic annular cascade. Steady analyses were performed to compute the performance characteristics at a given rotational speed. A numerical stall boundary was first estimated based on the residual convergence behavior of the steady solver. Eigenanalyses were then performed for flow solutions at a few near-stall points to determine their global linear stability. Once the relevant unstable modes were identified according to the signs of real parts of eigenvalues, they were examined in detail to understand the flow destabilizing mechanism. Furthermore, time-accurate unsteady simulations were performed to verify the obtained eigenvalues and eigenvectors. The eigenanalysis results reveal that at the rotating stall inception condition, multiple unstable modes appear almost simultaneously with a leading mode that grows most rapidly. In addition, it was found that the unstable modes are continuous in their nodal diameters, and are members of a particular family of modes typical of a dynamic system with cyclic symmetries. This is the first time such an interesting structure of the unstable modes is found numerically, which to some extent explains the rich and complex results constantly observed from experiments but have never been consistently explained. The verified eigenanalysis method can be used to predict the onset of a rotating stall with a CPU time cost orders of magnitude lower than time-accurate simulations, thus making compressor stall onset prediction based on the global linear instability approach feasible in engineering practice.
准确预测旋转失速的起始点对于确定压缩机的稳定运行机制至关重要。在两种广为接受的失速途径(即模态和尖峰)中,前者被认为是源于全局线性不稳定性,实验也部分证实了这一点。至于后者,最近的计算和实验结果表明它表现为快速放大的流动扰动。然而,要证明这是由于全局线性不稳定性造成的,还需要进行严格的分析。在这项工作中,采用了特征分析方法来研究跨音速环形级联的旋转失速起始。进行了稳定分析,以计算给定转速下的性能特征。首先根据稳定求解器的残余收敛行为估算出数值失速边界。然后对几个近失速点的流动解进行特征分析,以确定其全局线性稳定性。根据特征值实部的符号确定相关的不稳定模式后,对其进行详细研究,以了解流动失稳机制。此外,还进行了时间精确的非稳态模拟,以验证所获得的特征值和特征向量。特征分析结果表明,在旋转失速起始条件下,几乎同时出现多个不稳定模式,其中一个主导模式增长最快。此外,研究还发现这些不稳定模态的节点直径是连续的,属于具有循环对称性的动力系统的典型模态族。这是首次通过数值方法发现不稳定模态的这种有趣结构,它在一定程度上解释了从实验中不断观察到的丰富而复杂的结果,但从未得到一致的解释。经过验证的特征分析方法可用于预测旋转失速的发生,其 CPU 时间成本比时间精确模拟低几个数量级,从而使基于全局线性不稳定性方法的压缩机失速发生预测在工程实践中变得可行。
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引用次数: 0
Design and Characterization of Highly Diffusive Turbine Vanes Suitable for Transonic Rotating Detonation Combustors 适用于跨音速旋转引爆燃烧器的高扩散涡轮叶片的设计与特性分析
IF 1.4 Q3 Engineering Pub Date : 2024-05-09 DOI: 10.3390/ijtpp9020018
Sergio Grasa, Guillermo Paniagua
In rotating detonation engines the turbine inlet conditions may be transonic with unprecedented unsteady fluctuations. To ensure an acceptable engine performance, the turbine passages must be suited to these conditions. This article focuses on designing and characterizing highly diffusive turbine vanes to operate at any inlet Mach number up to Mach 1. First, the effect of pressure loss on the starting limit is presented. Afterward, a multi-objective optimization with steady RANS simulations, including the endwall and 3D vane design is performed. Compared to previous research, significant reductions in pressure loss and stator-induced rotor forcing are obtained, with an extended operating range and preserving high flow turning. Finally, the influence of the inlet boundary layer thickness on the vane performance is evaluated, inducing remarkable increases in pressure loss and downstream pressure distortion. Employing an optimization with a thicker inlet boundary layer, specific endwall design recommendations are found, providing a notable improvement in both objective functions.
在旋转爆燃发动机中,涡轮进气条件可能是跨音速的,并伴有前所未有的不稳定波动。为确保发动机性能的可接受性,涡轮通道必须适合这些条件。这篇文章的重点是设计和鉴定高扩散涡轮叶片,使其能在任何进口马赫数(最高达 1 马赫)下运行。首先,介绍了压力损失对启动极限的影响。然后,通过稳定的 RANS 模拟进行多目标优化,包括端壁和三维叶片设计。与之前的研究相比,压力损失和定子引起的转子强迫显著减少,工作范围扩大,并保持了高流量转向。最后,对入口边界层厚度对叶片性能的影响进行了评估,结果表明,入口边界层厚度会显著增加压力损失和下游压力畸变。通过对较厚的入口边界层进行优化,找到了具体的端壁设计建议,显著改善了两个目标函数。
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引用次数: 0
Wall-Proximity Effects on Five-Hole Probe Measurements 墙壁距离对五孔探针测量的影响
IF 1.4 Q3 Engineering Pub Date : 2024-05-08 DOI: 10.3390/ijtpp9020016
Adrien Vasseur, Nicolas Binder, Fabrizio Fontaneto, Jean-Louis Champion
Wall proximity affects the accuracy of pressure probe measurements with a particularly strong impact on multi-hole probes. The wall-related evolution of the calibration of two hemispheric L-shaped 3D-printed five-hole probes was investigated in a low-speed wind tunnel. Pressure measurements and 2D particle image velocimetry were performed. The wall proximity causes the probe to measure a flow diverging from the wall, whereas the boundary layer causes the probe to measure a velocity directed towards the wall. Both angular calibration coefficients are affected in different manners. The error in angle measurement can reach 7°. These errors can be treated as calibration information. Acceleration caused by blockage is not the main reason for the errors. Methods to perform measurements closer to the wall are suggested.
靠近墙壁会影响压力探头的测量精度,对多孔探头的影响尤其大。我们在低速风洞中研究了两个半球形 L 形 3D 打印五孔探头的校准与墙壁相关的演变。进行了压力测量和二维粒子图像测速。靠近壁面会导致探头测量偏离壁面的气流,而边界层会导致探头测量朝向壁面的速度。两种角度校准系数受到不同方式的影响。角度测量误差可达 7°。这些误差可作为校准信息处理。堵塞造成的加速度并不是产生误差的主要原因。建议采用更靠近墙壁的方法进行测量。
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引用次数: 0
Simulation of Indexing and Clocking with a New Multidimensional Time Harmonic Balance Approach 用新的多维时间谐波平衡法模拟索引和时钟
IF 1.4 Q3 Engineering Pub Date : 2024-05-08 DOI: 10.3390/ijtpp9020017
L. Junge, Christian Frey, G. Ashcroft, E. Kügeler
Alongside the capability to simulate rotor–stator interactions, a central aspect within the development of frequency-domain methods for turbomachinery flows is the ability of the method to accurately predict rotor–rotor and stator–stator interactions on a single-passage domain. To simulate such interactions, state-of-the-art frequency-domain approaches require one fundamental interblade phase angle, and therefore it can be necessary to resort to multi-passage configurations. Other approaches neglect the cross-coupling of different harmonics. As a consequence, the influence of indexing on the propagation of the unsteady disturbances is not captured. To overcome these issues, the harmonic balance approach based on multidimensional Fourier transforms in time, recently introduced by the authors, is extended in this work to account for arbitrary interblade phase angle ratios on a single-passage domain. To assess the ability of the approach to simulate the influence of indexing on the steady, as well as on the unsteady, part of the flow, the proposed extension is applied to a modern low-pressure fan stage of a civil aero engine under the influence of an inhomogeneous inflow condition. The results are compared to unsteady simulations in the time-domain and to state-of-the-art frequency-domain methods based on one-dimensional discrete Fourier transforms.
除了模拟转子-定子相互作用的能力之外,开发涡轮机械流动频域方法的一个核心方面是该方法能够准确预测单通道域上转子-转子和定子-定子之间的相互作用。为了模拟这种相互作用,最先进的频域方法需要一个基本的叶片间相位角,因此有必要采用多通道配置。其他方法则忽略了不同谐波的交叉耦合。因此,无法捕捉到分度对非稳定性干扰传播的影响。为了克服这些问题,作者最近推出了基于时间多维傅里叶变换的谐波平衡方法,并在本研究中进行了扩展,以考虑单通道域上的任意叶片间相角比。为了评估该方法模拟分度对流动的稳定和非稳定部分的影响的能力,在非均质流入条件的影响下,将拟议的扩展应用于民用航空发动机的现代低压风扇级。结果与时域非稳态模拟和基于一维离散傅里叶变换的先进频域方法进行了比较。
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引用次数: 0
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International Journal of Turbomachinery, Propulsion and Power
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