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Multi-objective aerodynamic and aeroelastic coupled design optimization using a full viscosity discrete adjoint harmonic balance method 基于全粘性离散伴随谐波平衡法的多目标气动和气动弹性耦合设计优化
IF 1.7 3区 工程技术 Q2 Engineering Pub Date : 2023-06-21 DOI: 10.1115/1.4062803
Hangkong Wu, Dingxi Wang, Xiuquan Huang
With increasing requirements for high-loading and high-efficiency turbomachines, blades become thinner and thinner and thus design optimizations considering both aerodynamic performances and aeroelastic stability become more and more necessary. In this study, a full viscosity discrete adjoint harmonic balance (HB) solver has been developed using algorithmic differentiation (AD), verified by a discrete linear solver based upon duality property, and then adopted to perform multi-disciplinary coupled design optimizations. To this end, a framework of multi-objective adjoint design optimizations has been developed to improve both aerodynamic performances and aeroelastic stability of turbomachinery blades. This framework is divided into two steps of the aeroelastic design initialization and aerodynamic Pareto front determination. First, the blade profiles are optimized to improve the aeroelastic stability only and constrain the variations of aerodynamic performances. Second, the optimized blade profiles in the first step are used as the initial ones and then further optimized with the objective function of aerodynamic parameters and the constraints of aeroelastic parameters. The effectiveness of the multi-objective design optimization method is demonstrated by comparing the optimization results with those from the single-objective aerodynamic and aeroelastic coupled design optimization method. The results from transonic NASA Rotor 67 subjected to a hypothetic vibration mode show that the multi-objective coupled design optimization method is capable of improving performances in both disciplines.
随着对高载荷、高效率涡轮机的要求越来越高,叶片越来越薄,因此,考虑气动性能和气动弹性稳定性的设计优化变得越来越必要。在本研究中,使用算法微分(AD)开发了一个全粘性离散伴随谐波平衡(HB)求解器,并通过基于对偶性质的离散线性求解器进行了验证,然后用于进行多学科耦合设计优化。为此,开发了一个多目标伴随设计优化框架,以提高涡轮机械叶片的气动性能和气动弹性稳定性。该框架分为气动弹性设计初始化和气动Pareto前沿确定两个步骤。首先,对叶片型面进行优化,仅提高气动弹性稳定性,并限制气动性能的变化。第二,将第一步优化后的叶型作为初始叶型,然后利用气动参数的目标函数和气动弹性参数的约束条件进行进一步优化。通过将优化结果与单目标气动和气动弹性耦合设计优化方法的优化结果进行比较,验证了多目标优化设计方法的有效性。NASA旋翼67在假设振动模式下的跨音速试验结果表明,多目标耦合设计优化方法能够提高两个学科的性能。
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引用次数: 0
Film Cooling Effectiveness on Pressure Surface and Suction Surface of Turbine Guide Vane with Diffusion Slot Holes 带扩散槽孔的涡轮导叶压力面和吸力面气膜冷却效果
IF 1.7 3区 工程技术 Q2 Engineering Pub Date : 2023-06-21 DOI: 10.1115/1.4062805
Jia‐miao Hu, B. An
This paper investigated the film-cooling effectiveness of diffusion slot holes in a turbine nozzle guide vane. The pressure-sensitive paint measurement technique was employed to obtain the film-cooling effectiveness at a density ratio of DR = 1.5. The mainstream Reynolds number based on the axial chord length and the exit velocity was 60000. The mainstream turbulence intensity was approximately 3.7%. Three diffusion slot hole geometries with cross-sectional aspect ratios (ASs) of 2.3, 3.4, and 4.9 were tested and compared with a typical fan-shaped hole. The experiments were performed at three typical hole row locations on the pressure surface (PS) and suction surface (SS). The average blowing ratios varied from M = 0.5 to 2.5. The results showed that throughout the blowing ratio range, on the PS, a substantially higher film-cooling effectiveness than the fan-shaped hole is always obtained from the diffusion slot hole with a large AS (AS = 4.9); on the SS, the diffusion slot hole with a small AS (AS = 2.3). The influence of hole row positioning is inconsistent for diffusion slot holes with different ASs. The diffusion slot hole is less affected by the PS when the AS is moderate and less affected by the SS when the AS is large. The film-cooling effectiveness of the diffusion slot holes is basically the lowest where the PS has a maximum concave curvature and the highest where the SS has a large favorable pressure gradient.
本文研究了涡轮导叶扩散槽孔的气膜冷却效果。采用压敏涂料测量技术,在密度比DR = 1.5时获得了气膜冷却效果。基于轴向弦长和出口速度的主流雷诺数为60000。主流湍流强度约为3.7%。测试了三种截面纵横比分别为2.3、3.4和4.9的扩散槽孔几何形状,并与典型的扇形孔进行了比较。实验在压力面(PS)和吸力面(SS)上的三个典型孔排位置进行。平均吹气比M = 0.5 ~ 2.5。结果表明:在整个吹气比范围内,扩散槽孔的气膜冷却效率明显高于扇形孔,其AS值较大(AS = 4.9);在SS上,扩散槽孔具有较小的AS (AS = 2.3)。不同AS对扩散槽孔排定位的影响不一致,AS适中时扩散槽孔受PS的影响较小,AS较大时扩散槽孔受SS的影响较小。扩散槽孔的气膜冷却效率基本上在PS的凹曲率最大的地方最低,在SS有利压力梯度较大的地方最高。
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引用次数: 0
Experimental and Computational Investigation of Shaped Film Cooling Holes Designed to Minimize Inlet Separation 最小进口分离设计的形膜冷却孔的实验与计算研究
3区 工程技术 Q2 Engineering Pub Date : 2023-06-09 DOI: 10.1115/1.4062460
Fraser Jones, Dale W Fox, David G. Bogard
Abstract Film cooling is used to protect turbine components from the extreme temperatures by ejecting coolant through arrays of holes to create an air buffer from the hot combustion gases. Limitations in traditional machining meant film cooling holes universally have sharp inlets, which create separation regions at the hole entrance. The present study uses experimental and computational data to show that these inlet separation are a major cause of performance variation in crossflow fed film cooling holes. Three-hole designs were experimentally tested by independently varying the coolant velocity ratio (VR) and the coolant channel velocity ratio (VRc) to isolate the effects of crossflow on hole performance. Leveraging additive manufacturing (AM) technologies, the addition of a 0.25D radius fillet to the inlet of a 7-7-7 shaped hole is shown to significantly improve diffuser usage and significantly reduce variation in performance with VRc. A second AM design used a very large radius of curvature inlet to reduce biasing caused by the inlet crossflow. Experiments showed that this “swept” hole design did minimize biasing of the coolant flow to one side of the shaped hole, and it significantly reduced variations due to varying VRc. RANS simulations at six VR and three VRc conditions were made for each geometry to better understand how the new geometries changed the velocity field within the hole. The sharp and rounded inlets were seen to have very similar tangential velocity fields and jet biasing. Both AM inlets created more uniform, slower velocity fields entering the diffuser. The results of this article indicate that large improvements in film cooling performance can be found by leveraging AM technology.
摘要气膜冷却是用来保护涡轮部件免受极端温度,通过喷射冷却剂通过孔阵列创建一个空气缓冲热燃烧气体。传统加工的局限性意味着气膜冷却孔一般都有尖锐的入口,这在孔的入口产生了分离区域。本研究采用实验和计算数据表明,这些进口分离是导致横流进气膜冷却孔性能变化的主要原因。通过独立改变冷却剂流速比(VR)和冷却剂通道流速比(VRc),对三孔设计进行了实验测试,以隔离横流对孔性能的影响。利用增材制造(AM)技术,在7-7-7型孔的入口添加0.25D半径圆角,可以显着提高扩散器的使用率,并显着减少VRc性能的变化。第二个AM设计使用了一个非常大的曲率半径的入口,以减少由入口横流引起的偏置。实验表明,这种“扫形”孔设计确实最大限度地减少了冷却剂流向形孔一侧的偏倚,并显著减少了由于不同VRc引起的变化。为了更好地了解新的几何形状如何改变井内的速度场,研究人员对每种几何形状进行了6种VR和3种VRc条件下的RANS模拟。锐利和圆形的进气道具有非常相似的切向速度场和射流偏置。两个调幅入口都创造了更均匀、更慢的速度场进入扩散器。本文的结果表明,利用增材制造技术可以大大改善膜冷却性能。
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引用次数: 0
Multidisciplinary Design of an Electrically Powered High-Lift System 电动大扬程系统的多学科设计
IF 1.7 3区 工程技术 Q2 Engineering Pub Date : 2023-06-02 DOI: 10.1115/1.4062677
N. Maroldt, Stefanie Lohse, J. Seume, Matthias Kalla, B. Ponick
To date, design processes for electrically powered compressor are mainly based on separate processes for each individual component. Whereas the blading is often designed by an integrated aerodynamic and mechanical design optimization, additional components such as the electrical machine are usually not included. These approaches neglect the interactions of the individual components, which can influence the system performance. This paper demonstrates a multidisciplinary design approach, combining an optimization approach for a compressor stage and an electrical machine. The automated optimization process is based on an evolutionary algorithm, evaluating each individual of a population in terms of aerodynamic performance, structural integrity and performance of the electrical machine. This approach is applied to the design of a mixed-flow compressor for active high-lift applications in aircraft. The results suggest that the overall system efficiency is mainly influenced by the compressor stage, whereas the system mass is dominated by the electrical components which highlights the need to combine both optimization approaches. Key design parameters of high power-density electrical-machine designs are identified. A comparison between a previous compressor-only optimization and a new design based on the new multidisciplinary optimization confirms the improvements the latter optimization approach yields.
迄今为止,电动压缩机的设计过程主要基于每个单独部件的单独过程。叶片通常通过集成的空气动力学和机械设计优化进行设计,但通常不包括电机等附加部件。这些方法忽略了单个组件的相互作用,这可能会影响系统性能。本文展示了一种多学科设计方法,将压缩机级和电机的优化方法相结合。自动化优化过程基于进化算法,根据空气动力学性能、结构完整性和电机性能评估群体中的每个个体。该方法应用于飞机主动高升程应用的混流式压缩机的设计。结果表明,整体系统效率主要受压缩机级的影响,而系统质量主要受电气部件的影响,这突出了将两种优化方法结合起来的必要性。确定了高功率密度电机设计的关键设计参数。先前的仅压缩机优化与基于新的多学科优化的新设计之间的比较证实了后一种优化方法所产生的改进。
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引用次数: 0
INFLUENCES OF LASER INCIDENCE ANGLE AND WALL THICKNESS ON ADDITIVE COMPONENTS 激光入射角和壁厚对加性组分的影响
IF 1.7 3区 工程技术 Q2 Engineering Pub Date : 2023-06-02 DOI: 10.1115/1.4062678
Alexander Wildgoose, K. Thole
Additive manufacturing (AM), particularly laser powder bed fusion, is growing the ability to rapidly develop advanced cooling schemes for turbomachinery applications. However, to fully utilize the design and development opportunities offered through AM, impacts of the build considerations and processing parameters are needed. Prior literature has shown that specific build considerations such as laser incidence angle and wall thickness influence the surface roughness of additively made components. The objective of this technical brief is to highlight the effects of both laser incidence angle and wall thickness on the surface roughness and cooling performance in micro-sized cooling passages. Results indicate that for any given laser incidence angle, surface roughness begins to increase when wall thickness is less than 1 mm for the cooling channels evaluated. As the laser incidence angle becomes further away from 90° the surface roughness increases in a parabolic form. Laser incidence angle and wall thickness significantly impacts friction factor, while there is less of an influence on Nusselt number for additively manufactured microchannels.
增材制造(AM),特别是激光粉末床聚变,正在提高快速开发用于涡轮机应用的先进冷却方案的能力。然而,为了充分利用AM提供的设计和开发机会,需要考虑构建因素和处理参数的影响。现有文献表明,激光入射角和壁厚等特定构造因素会影响添加制造部件的表面粗糙度。本技术简报的目的是强调激光入射角和壁厚对微型冷却通道表面粗糙度和冷却性能的影响。结果表明,对于任何给定的激光入射角,当评估的冷却通道的壁厚小于1mm时,表面粗糙度开始增加。随着激光入射角越来越远离90°,表面粗糙度以抛物线形式增加。激光入射角和壁厚显著影响摩擦系数,而对额外制造的微通道的努塞尔数影响较小。
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引用次数: 0
Harmonic Method for Simulating Unsteady Multispool Interactions 模拟非定常多阀芯相互作用的谐波方法
3区 工程技术 Q2 Engineering Pub Date : 2023-05-30 DOI: 10.1115/1.4062242
Feng Wang, Luca di Mare
Abstract Modern civil jet engines arrange components on spools with different rotational speeds in order to improve compressor stall margin, overall engine performance, etc. The unsteady interactions among these components can be significant and should be considered at an early design stage if possible. Unsteady Reynolds-averaged Navier–Stokes (URANS) is a common approach to simulate these unsteady effects, but the disparity in time scales in a multispool simulation can lead to expensive URANS simulations. Harmonic methods are effective and efficient approaches to simulate unsteady interactions among turbomachinery components, but their applications to multispool simulations remain a challenge. The objective of this paper is to address this challenge. This paper extends the Favre-averaged non-linear harmonic method to simulate multispool turbomachinery components using a unified bladerow interface which transfers disturbances through bladerows with arbitrary blade counts at any rotational speed. The regularization of non-reflective boundary condition is described for certain circumferential wave number of the zero-frequency mode. The capability of the proposed approach is demonstrated by simulating the transfer of hot streaks through full 3D high- and intermediate-pressure turbines in a three-shaft engine. The temperature distributions from the harmonic method show good agreement with direct unsteady simulation in terms of the mean flow and the instantaneous flow. The radial migration of the hot streaks towards the hub are captured very well by the proposed harmonic method. The required wall-clock time of the harmonic method is roughly 240 times smaller than the whole annulus URANS simulation. This demonstrates that the proposed method can be an efficient design tool to trace hot streaks in multispool turbines at the early design stage.
摘要现代民用喷气发动机为了提高压气机失速余量和发动机整体性能等,将部件布置在不同转速的轴上。这些部件之间的非定常相互作用可能是显著的,如果可能的话,应在早期设计阶段考虑。非定常reynolds -average Navier-Stokes (URANS)是模拟这些非定常效应的常用方法,但在多轴模拟中,时间尺度的差异会导致URANS模拟成本高昂。谐波方法是模拟叶轮机械部件间非定常相互作用的有效方法,但其在多阀芯仿真中的应用仍然是一个挑战。本文的目标就是解决这一挑战。本文扩展了favr -平均非线性谐波方法,采用统一的叶片界面,在任意转速下通过任意叶片数的叶片传递扰动,来模拟多轴叶轮机械部件。讨论了零频模式下一定周向波数下非反射边界条件的正则化问题。通过在三轴发动机中模拟热斑在全三维高中压涡轮中的传递,证明了该方法的能力。从平均流场和瞬时流场来看,谐波法得到的温度分布与直接非定常模拟结果吻合较好。所提出的谐波方法能很好地捕捉到热斑向轮毂的径向迁移。谐波法所需的挂钟时间比全环空URANS模拟所需的挂钟时间大约小240倍。这表明,所提出的方法可以作为一种有效的设计工具,在多轴涡轮的早期设计阶段跟踪热条纹。
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引用次数: 0
Novel strategy for thermal evaluation of film-cooled blades using thermographic phosphors at simulated engine conditions 利用热成像荧光粉对模拟发动机条件下的气膜冷却叶片进行热评估的新策略
IF 1.7 3区 工程技术 Q2 Engineering Pub Date : 2023-05-24 DOI: 10.1115/1.4062611
Wenwu Zhou, Hongyi Shao, Xu Zhang, D. Peng, Yingzheng Liu, Yang Li, Weihua Yang, Xiaofeng Zhao
Practical strategy for the thermal evaluation of film-cooled blade is of great importance to the gas turbine community. Due to the physical or methodology limitations, it is difficult to evaluate the blade's thermal performance at simulated engine conditions. The present study proposed novel focal-sweep-based phosphor thermometry for blade cooling inspection. While Mg4FGeO6:Mn (MFG) served as the temperature sensor to quantify the blade temperatures as well as simulated the TBC effect, the focal sweep method was adopted to overcome the optical constraints in cascade testing. The obtained MFG results of microstructures, jet impingement, and anti-erosion test demonstrated that the MFG phosphor is robust enough to simulate the thermal insulation effect of TBC and can withstand high-speed flow erosion. Furthermore, the proposed strategy clearly captured the blade temperature distributions (mainstream at T_(0,8)=~850 K) with high spatial resolution, which was then successfully remapped onto the three-dimensional twisted blade. Additional comparisons with the thermocouples demonstrated that the simulated-TBC has a thermal insulation effect of about 68K. This study addressed the common problems of phosphor thermometry in blade cooling evaluation, offering a practical strategy for future thermal diagnostics of the gas turbine.
薄膜冷却叶片热评估的实用策略对燃气轮机界具有重要意义。由于物理或方法的限制,很难在模拟发动机条件下评估叶片的热性能。本研究提出了一种用于叶片冷却检测的新型基于聚焦扫描的磷光体测温方法。当Mg4FGeO6:Mn(MFG)作为温度传感器来量化叶片温度并模拟TBC效应时,采用了焦扫描方法来克服级联测试中的光学约束。所获得的微观结构、射流冲击和抗侵蚀试验的MFG结果表明,MFG磷光体足够坚固,可以模拟TBC的隔热效果,并且可以承受高速流动侵蚀。此外,所提出的策略以高空间分辨率清晰地捕捉到了叶片温度分布(T_(0.8)=~850K时的主流),然后成功地将其重新映射到三维扭曲叶片上。与热电偶的额外比较表明,模拟的TBC具有约68K的隔热效果。本研究解决了叶片冷却评估中磷光体测温的常见问题,为燃气轮机未来的热诊断提供了一种实用的策略。
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引用次数: 0
Assimilation of Disparate Data for Improving the Performance Prediction of Body-Force Model 异构数据的同化改进体力模型的性能预测
IF 1.7 3区 工程技术 Q2 Engineering Pub Date : 2023-05-23 DOI: 10.1115/1.4062610
Xuegao Wang, Jun Hu, Shuai Ma
Despite the extensive application of three-dimensional Reynolds-averaged Navier-Stokes equation (RANS) in axial compressor numerical simulations, body-force model (BFM) also plays its own role profiting from its low computation cost. However, the computation accuracy highly depends on the modeling of blade force, which usually involves several parameter constants. In this work, data assimilation based on Ensemble Kalman Filter (EnKF) was employed to optimize these model constants in BFM. Previous work associated with data assimilation mainly focus on employing only one data source. Considering the various measurement quantities in engineering practice, disparate data were incorporated in assimilation method to improve the prediction. The test case of a low-speed axial compressor was provided. Only one single data source, i.e., total pressure ratio, was first employed as the observation data in EnKF. And to reveal the superiority of the disparate data assimilation, total pressure ratio and isentropic efficiency were then incorporated to improve the performance prediction. The converged results reveal the robustness of disparate data assimilation based on EnKF. At last, the optimized constants were adopted to predict the performance of the axial compressor at another rotational speed for further verification and application. The results showed that errors comparing with the experimental data are nearly within 2.5%.
尽管三维雷诺平均Navier-Stokes方程(RANS)在轴流压缩机数值模拟中得到了广泛的应用,但体力模型(BFM)也因其低计算成本而发挥了自己的作用。然而,计算精度在很大程度上取决于叶片力的建模,而叶片力通常涉及几个参数常数。在这项工作中,采用基于集合卡尔曼滤波器(EnKF)的数据同化来优化BFM中的这些模型常数。以往与数据同化相关的工作主要集中在只使用一个数据源上。考虑到工程实践中的各种测量量,将不同的数据纳入同化方法中,以改进预测。给出了一台低速轴流压缩机的试验实例。只有一个单一的数据源,即总压比,首次被用作EnKF中的观测数据。为了揭示不同数据同化的优越性,结合总压比和等熵效率来改进性能预测。收敛结果表明了基于EnKF的不同数据同化的稳健性。最后,采用优化后的常数对轴流压缩机在不同转速下的性能进行了预测,以供进一步验证和应用。结果表明,与实验数据相比,误差在2.5%以内。
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引用次数: 0
Roughness-Resolved Large-Eddy Simulation of Additive Manufacturing-Like Channel Flows 类增材制造通道流动的粗糙度分辨大涡模拟
3区 工程技术 Q2 Engineering Pub Date : 2023-05-22 DOI: 10.1115/1.4062245
Serge Meynet, Alexis Barge, Vincent Moureau, Guillaume Balarac, Ghislain Lartigue, Abdellah Hadjadj
Abstract In the last decade, progresses in additive manufacturing (AM) have paved the way for optimized heat exchangers whose disruptive design will heavily rely on predictive numerical simulations. However, due to typical roughness induced by AM, current wall models used in steady and unsteady 3D Navier–Stokes simulations do not take into account such characteristics. For the development and assessment of novel wall models for AM, a high-fidelity roughness-resolved large-eddy simulation (RRLES) database is built. This article describes the numerical setup and the methodology used for conducting RRLES, from surface generation to postprocessing. In addition, three different cases representing two printing directions plus a streamwise and spanwise isotropic case are investigated. While the roughness distributions are the same in the three cases, the effective slope (ES) is very different, and the impact of this parameter on turbulence and heat transfer is analyzed at different Reynolds numbers.
在过去的十年中,增材制造(AM)的进步为优化热交换器铺平了道路,其颠覆性设计将在很大程度上依赖于预测数值模拟。然而,由于AM引起的典型粗糙度,目前用于定常和非定常三维Navier-Stokes模拟的壁面模型没有考虑到这一特性。为了开发和评估新型增材制造壁面模型,建立了高保真的粗糙度分辨大涡模拟数据库。本文描述了用于进行RRLES的数值设置和方法,从表面生成到后处理。此外,还研究了代表两种印刷方向的三种不同情况以及流向和展向各向同性情况。三种情况下粗糙度分布相同,但有效斜率ES差异很大,分析了不同雷诺数下该参数对湍流和换热的影响。
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引用次数: 0
Validation of Broadband Noise Prediction Methodology Based on Linearized Navier–Stokes Analyses 基于线性化Navier-Stokes分析的宽带噪声预测方法验证
3区 工程技术 Q2 Engineering Pub Date : 2023-05-22 DOI: 10.1115/1.4062398
Ricardo Blázquez-Navarro, Roque Corral
Abstract This article presents an integral validation of a synthetic turbulence broadband noise prediction methodology for fan/outlet-guide-vane (OGV) interaction. The test vehicle is the ACAT1 fan, a modern scaled-down fan, experimentally analyzed in 2018 within the TurboNoiseBB project. Three operating points, namely, Approach, Cutback, and Sideline, and two different rig configurations in terms of the axial gap between the fan and OGV are examined within this work. The methodology consists of using a Reynolds-averaged Navier–Stokes (RANS) solver to model the fan wake and the use of two-dimensional frequency domain linearized Navier–Stokes simulations to resolve the acoustics, including quasi-3D corrections to obtain representative results. The RANS results with no ad hoc tuning are compared in detail against hotwire data to determine the degree of uncertainty incurred by this kind of approach. The predicted broadband noise spectra and noise azimuthal decompositions are compared against the experimental data. The spectral levels are well predicted despite an average underprediction of around 3dB. The noise azimuthal decompositions feature a remarkable agreement with the experiment, denoting accurate modeling of the main physics governing the problem. The impact of increasing the fan/OGV axial gap is quantified numerically for the first time. It is concluded that increasing the gap is detrimental for the broadband noise footprint, unlike intuitively could be expected. Overall, the presented broadband noise methodology yields robust broadband noise predictions at an industrially feasible cost and enables a deeper understanding of the problem.
摘要本文提出了一种用于风扇/出口-导叶(OGV)相互作用的合成湍流宽带噪声预测方法的整体验证。测试车辆是ACAT1风扇,这是一种现代缩小的风扇,于2018年在TurboNoiseBB项目中进行了实验分析。在这项工作中,研究了三个工作点,即进近、切回和副线,以及风扇和支板之间轴向间隙的两种不同钻机配置。该方法包括使用reynolds -average Navier-Stokes (RANS)求解器对风扇尾迹进行建模,并使用二维频域线性化Navier-Stokes模拟来解决声学问题,包括准3d校正以获得代表性结果。没有特别调优的RANS结果与热线数据进行了详细的比较,以确定这种方法引起的不确定性程度。预测的宽带噪声谱和噪声方位角分解与实验数据进行了比较。尽管平均低估约3dB,但光谱水平预测得很好。噪声方位角分解与实验结果非常吻合,表明对控制该问题的主要物理原理进行了准确的建模。本文首次对增大风扇/支板轴向间隙的影响进行了数值量化。结论是,增加间隙对宽带噪声足迹是有害的,不像直观地可以预期的那样。总的来说,提出的宽带噪声方法以工业上可行的成本产生了强大的宽带噪声预测,并能够更深入地了解问题。
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引用次数: 1
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Journal of Turbomachinery-Transactions of the Asme
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