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Aero-structural Analysis of a Scramjet Technology Demonstrator Designed to Operate at an Altitude of 23 km at Mach 5.8 设计在 23 公里高度以 5.8 马赫运行的 Scramjet 技术演示器的气动结构分析
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-07 DOI: 10.1007/s10494-024-00564-0
Paulo César de Oliveira Júnior, João Carlos Arantes Costa Júnior, Paulo Gilberto de Paula Toro

Aerodynamic and structural analysis was conducted for a generic supersonic combustion demonstrator designed to operate under flight conditions at an altitude of 23 km and a speed corresponding to Mach number 5.8. Optimization methodologies were applied to the compression section of the model to ensure the required temperature and Mach number conditions at the combustion chamber entrance for the spontaneous combustion of hydrogen fuel, as well as to the expansion section to meet the Brayton thermodynamic cycle. In the aerodynamic analysis, both analytical and numerical approaches were considered for cases without fuel injection and with fuel burning, treating air as a calorically perfect gas without viscous effects. In the structural analysis, only the case with fuel burning was evaluated due to its higher structural demands. Additionally, cases with different plate thicknesses (6 mm, 4 mm, 3 mm, and 2.5 mm) were considered, and the components of the scramjet consisted of Stainless Steel 304 (beams and ribs), Aluminum 7075 (side panels and ramps), Inconel 718, or Tungsten (leading edges and combustion chamber entrance). The results of the aerodynamic numerical simulation demonstrated that the designed scramjet was capable of meeting both on-lip and on-corner shock conditions, ensuring maximum atmospheric air capture. In the structural numerical simulation, for sheets thicker than 2.5 mm, the maximum equivalent von Mises stress in the structure was lower than the yield stress of the materials used, indicating that the deformations were within the elastic regime and thus reversible.

对通用超音速燃烧演示器进行了空气动力和结构分析,该演示器设计在飞行高度为 23 千米、速度为 5.8 马赫数的飞行条件下运行。对模型的压缩部分采用了优化方法,以确保燃烧室入口处氢燃料自燃所需的温度和马赫数条件,并对膨胀部分采用了优化方法,以满足布雷顿热力学循环。在空气动力学分析中,考虑了无燃料喷射和燃料燃烧情况下的分析和数值方法,将空气视为无粘性影响的热量完全气体。在结构分析中,由于对结构的要求较高,只对燃料燃烧的情况进行了评估。此外,还考虑了不同板厚(6 毫米、4 毫米、3 毫米和 2.5 毫米)的情况,喷气发动机的部件包括不锈钢 304(梁和肋)、铝 7075(侧板和斜坡)、铬镍铁合金 718 或钨(前缘和燃烧室入口)。空气动力学数值模拟的结果表明,所设计的扰流喷气式飞机能够满足侧滑和转角冲击条件,确保最大限度地捕获大气中的空气。在结构数值模拟中,对于厚度大于 2.5 毫米的板材,结构中的最大等效冯-米塞斯应力低于所用材料的屈服应力,表明变形在弹性范围内,因此是可逆的。
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引用次数: 0
On the Flow Past a Three-Element Wing: Mean Flow and Turbulent Statistics 论流经三元素翼的流动:平均流和湍流统计
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-04 DOI: 10.1007/s10494-024-00566-y
Ricard Montalà, Oriol Lehmkuhl, Ivette Rodriguez

Large eddy simulations (LES) on the flow past the 30P30N three-element high-lift wing at a moderate Reynolds number (Re_c=750,000) and three different angles of attack (alpha =5), 9 and (23^circ ) are conducted. The main focus is on the time-averaged statistics of the turbulent flow. The form drag noticeably increases with the angle of attack, while viscous drag remains roughly constant and contributes minimally to the total drag. This is associated with the significant pressure peaks found in the main element with increasing angles of attack and hence, the development of stronger adverse pressure gradients. At (alpha =23^circ ), this leads to the development of a prominent wake downstream this element that eventually evolves into a visible recirculation region above the flap, indicating the onset of stall conditions. In the flap, strong adverse pressure gradients are observed at small angles of attack instead, i.e., (alpha =5) and (9^circ ). This is attributed to the flap’s deflection angle with respect to the main wing, which causes a small separation of the boundary layer as the flow approaches the trailing edge. At the stall angle of attack, i.e., (alpha =23^circ ), the spread of the main element wake maintains attached the flow near the flap wall, thus mitigating the pressure gradient there and preventing the flow to undergo separation. The shear layers developed on the slat and main coves are also analysed, with the slat shear layer showing more prominence. In the slat, its size and intensity noticeably decrease with the angle of attack as the stagnation point moves towards the slat cusp. Conversely, the size of the shear layer developed in the main element cavity remains approximately constant regardless of the angle of attack. At the lower angles of attack, i.e., (alpha =5) and (9^circ ), the development of the shear layer is anticipated by the turbulent separation of the flow along the pressure side of the main wing, leading to increased levels of turbulence downstream. At the higher angle of attack, i.e., (alpha =23^circ ), the shear layer is originated by the cavity separation and transition to turbulence occurs within the cavity.

在中等雷诺数(Re_c=750,000)和三种不同攻角(α=5)、9和(23^circ)下,对流经30P30N三元件高升力机翼的流动进行了大涡流模拟(LES)。主要重点是湍流的时间平均统计。形式阻力随着攻角的增加而明显增大,而粘性阻力基本保持不变,对总阻力的贡献很小。这与随着攻角的增大,在主元素中发现的显著压力峰值有关,因此,不利的压力梯度也随之增大。在(alpha =23^circ) 时,这将导致在该部件下游形成一个突出的尾流,最终演变成襟翼上方可见的再循环区域,表明失速条件开始出现。在襟翼中,小攻角(即(α =5)和(9^circ))处反而观察到强烈的不利压力梯度。这归因于襟翼相对于主翼的偏转角,当气流接近后缘时,襟翼会导致边界层的小幅分离。在失速攻角时,即(α =23^circ ),主翼尾流的扩散使襟翼壁附近的气流保持附着,从而减轻了那里的压力梯度,防止气流发生分离。我们还分析了板条和主凹面上形成的剪切层,其中板条剪切层更为突出。在板条上,随着停滞点向板条尖部移动,剪切层的大小和强度随着攻角的增大而明显减小。相反,无论攻角如何,主元件空腔中形成的剪切层大小基本保持不变。在较低的攻角下,即(α =5)和(9^circ),剪切层的发展是由沿主翼压力侧的湍流分离预期的,导致下游湍流水平增加。在较高的攻角下,即(α =23^circ ),剪切层起源于空腔分离,并在空腔内过渡到湍流。
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引用次数: 0
Jet Installation Noise Modelling for Round and Chevron Jets 圆形和雪佛龙喷气机安装噪声建模
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-02 DOI: 10.1007/s10494-024-00559-x
Hussain A. Abid, Annabel P. Markesteijn, Sergey A. Karabasov, Hasan Kamliya Jawahar, Mahdi Azarpeyvand

Wall-Modelled Large Eddy Simulations (LES) are conducted using a high-resolution CABARET method, accelerated on Graphics Processing Units (GPUs), for a canonical configuration that includes a flat plate within the linear hydrodynamic region of a single-stream jet. This configuration was previously investigated through experiments at the University of Bristol. The simulations investigate jets at acoustic Mach numbers of 0.5 and 0.9, focusing on two types of nozzle geometries: round and chevron nozzles. These nozzles are scaled-down versions (3:1 scale) of NASA’s SMC000 and SMC006 nozzles. The parameters from the LES, including flow and noise solutions, are validated by comparison with experimental data. Notably, the mean flow velocity and turbulence distribution are compared with NASA’s PIV measurements. Additionally, the near-field and far-field pressure spectra are evaluated in comparison with data from the Bristol experiments. For far-field noise predictions, a range of techniques are employed, ranging from the Ffowcs Williams–Hawkings (FW–H) method in both permeable and impermeable control surface formulations, to the trailing edge scattering model by Lyu and Dowling, which is based on the Amiet trailing edge noise theory. The permeable control surface FW–H solution, incorporating all jet mixing and installation noise sources, is within 2 dB of the experimental data across most frequencies and observer angles for all considered jet cases. Moreover, the impermeable control surface FW–H solution, accounting for some quadrupole noise contributions, proves adequate for accurate noise spectra predictions across all frequencies at larger observer angles. The implemented edge-scattering model successfully captures the mechanism of low-frequency sound amplification, dominant at low frequencies and high observer angles. Furthermore, this mechanism is shown to be effectively consistent for both (M=0.5) and (M=0.9), and for jets from both round and chevron nozzles.

采用高分辨率 CABARET 方法,通过图形处理器(GPU)加速,对单流射流线性流体动力区域内的平板进行典型配置的壁式大涡流模拟(LES)。布里斯托尔大学曾通过实验对这种配置进行过研究。模拟研究了声学马赫数为 0.5 和 0.9 时的喷流,重点研究了两种类型的喷嘴几何结构:圆形喷嘴和楔形喷嘴。这些喷嘴是 NASA 的 SMC000 和 SMC006 喷嘴的缩小版(比例为 3:1)。通过与实验数据对比,验证了 LES 的参数,包括流动和噪声解决方案。值得注意的是,平均流速和湍流分布与 NASA 的 PIV 测量结果进行了比较。此外,还将近场和远场压力谱与布里斯托尔实验数据进行了对比评估。在远场噪声预测方面,采用了一系列技术,包括渗透和不渗透控制面公式中的 Ffowcs Williams-Hawkings(FW-H)方法,以及 Lyu 和 Dowling 基于 Amiet 后缘噪声理论的后缘散射模型。可渗透控制面 FW-H 解决方案包含了所有射流混合和安装噪声源,在所有考虑的射流情况下,其大部分频率和观测器角度与实验数据的误差都在 2 dB 以内。此外,不渗透控制面 FW-H 解决方案考虑了一些四极噪声,证明足以在较大观察者角度下准确预测所有频率的噪声谱。实施的边缘散射模型成功捕捉到了低频声音放大的机制,这种机制在低频和高观察者角度时占主导地位。此外,这一机制在(M=0.5)和(M=0.9)以及来自圆形和雪佛龙喷嘴的射流中都是有效一致的。
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引用次数: 0
Air-Film Coupling in Prefilming Airblast Atomisers and the Implications for Subsequent Atomisation 预过滤喷气雾化器中的气膜耦合及其对后续雾化的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-07-01 DOI: 10.1007/s10494-024-00565-z
Jack R. J. Wetherell, Andrew Garmory

Prefilming airblast atomisers are commonly used in gas turbine combustion system fuel injectors. As the film propagates across the prefilmer it interacts with the high velocity gas stream above it. In this paper a numerical investigation into this interaction is presented. A Coupled Level Set & Volume of Fluid method is used to simulate the development of the film along the KIT-ITS planar prefilmer (Gepperth et al., in: 23rd European conference on liquid atomization and spray systems (ILASS-Europe 2010), Brno, Czech Republic, September, 2010). Initial results showed the importance of correctly specifying the contact angle as too high a value leads to the formation of rivulets instead of a continuous film. An analysis of the film and air showed two-way coupling. The presence of the film increases the growth rate of the gas phase boundary layer, and the strength and size of the turbulent structures within it. Surface waves form in the film, initially driven by the turbulent fluctuations, but developing into transverse waves. These waves are shown to be independent, stochastic events instead of a periodic wave system. At the trailing edge of the prefilmer the increased turbulence level in the air, the variations in the film thickness and the associated change in fuel mass flow and momentum will have large implications for the atomisation process and subsequent fuel spray. These will also impact simulation of the atomisation, as the boundary condition complexity is much greater than commonly used, and the variations will require larger domains and longer simulation times to obtain fully converged atomisation statistics.

预过滤喷气雾化器通常用于燃气轮机燃烧系统的燃料喷射器。当薄膜在预滤器上传播时,会与上方的高速气流发生相互作用。本文对这种相互作用进行了数值研究。采用耦合液位集& 流体体积法模拟薄膜沿 KIT-ITS 平面预膜的发展(Gepperth 等人,in:第 23 届欧洲液体雾化和喷雾系统会议(ILASS-欧洲 2010),捷克共和国布尔诺,2010 年 9 月)。初步结果表明,正确指定接触角非常重要,因为过高的接触角会导致形成细流,而不是连续的薄膜。对薄膜和空气的分析显示出双向耦合。薄膜的存在增加了气相边界层的增长速度,以及其中湍流结构的强度和大小。薄膜中形成表面波,最初由湍流波动驱动,但后来发展成横波。这些波被证明是独立的随机事件,而不是周期性的波系统。在预膜片的后缘,空气中湍流水平的增加、膜片厚度的变化以及与之相关的燃料质量流和动量的变化将对雾化过程和随后的燃料喷射产生重大影响。这些也会影响雾化模拟,因为边界条件的复杂性比常用的要大得多,而且这些变化需要更大的域和更长的模拟时间才能获得完全收敛的雾化统计数据。
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引用次数: 0
Structures of Laminar Lean Premixed H2/CH4/Air Polyhedral Flames: Effects of Flow Velocity, H2 Content and Equivalence Ratio 层流精益预混合 H2/CH4/Air 多面体火焰的结构:流速、H2 含量和当量比的影响
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-06-25 DOI: 10.1007/s10494-024-00561-3
Shuguo Shi, Adrian Breicher, Robin Schultheis, Sandra Hartl, Robert S. Barlow, Dirk Geyer, Andreas Dreizler

Polyhedral Bunsen flames, induced by hydrodynamic and thermo-diffusive instabilities, are characterized by periodic trough and cusp cellular structures along the conical flame front. In this study, the effects of flow velocity, hydrogen content, and equivalence ratio on the internal cellular structure of premixed fuel-lean hydrogen/methane/air polyhedral flames are experimentally investigated. A high-spatial-resolution one-dimensional Raman/Rayleigh scattering system is employed to measure the internal scalar structures of polyhedral flames in troughs and cusps. Planar laser-induced fluorescence of hydroxyl radicals and chemiluminescence imaging measurements are used to quantify the flame front morphology. In the experiments, stationary polyhedral flames with varying flow velocities from 1.65 to 2.50 m/s, hydrogen contents from 50 to 83%, and equivalence ratios from 0.53 to 0.64 are selected and measured. The results indicate that the positively curved troughs exhibit significantly higher hydrogen mole fractions and local equivalence ratios compared to the negatively curved cusps, due to the respective focusing/defocusing effect of trough/cusp structure on highly diffusive hydrogen. The hydrogen mole fraction and local equivalence ratio differences between troughs and cusps are first increased and then decreased with increasing measurement height from 5 to 13 mm, due to the three-dimensional effect of the flame front. With increasing flow velocity from 1.65 to 2.50 m/s, the hydrogen mole fraction and local equivalence ratio differences between troughs and cusps decrease, which is attributed to the overall decreasing curvatures in troughs and cusps due to the decreased residence time and increased velocity-induced strain. With increasing hydrogen content from 50 to 83%, the hydrogen mole fraction and local equivalence ratio differences between troughs and cusps are amplified, due to the enhanced effects of the flame front curvature and the differential diffusion of hydrogen. With increasing equivalence ratio from 0.53 to 0.64, a clear increasing trend in hydrogen mole fraction and equivalence ratio differences between troughs and cusps is observed at constant flow velocity condition, which is a trade-off result between increasing effective Lewis number and increasing curvatures in troughs and cusps.

由流体动力和热扩散不稳定性诱发的多面体本生焰的特征是沿锥形火焰前沿的周期性波谷和尖顶蜂窝结构。本研究通过实验研究了流速、氢含量和当量比对预混合燃料-贫氢/甲烷/空气多面体火焰内部蜂窝结构的影响。采用高空间分辨率一维拉曼/瑞利散射系统测量了多面体火焰在槽和尖的内部标量结构。羟基自由基的平面激光诱导荧光和化学发光成像测量用于量化火焰前沿形态。在实验中,选择并测量了不同流速(1.65 至 2.50 米/秒)、氢含量(50 至 83%)和当量比(0.53 至 0.64)的静止多面体火焰。结果表明,与负弯曲的尖角相比,正弯曲的波谷显示出明显更高的氢分子分数和局部当量比,这是由于波谷/尖角结构对高扩散氢分别具有聚焦/去聚焦效应。由于火焰前沿的三维效应,随着测量高度从 5 毫米增加到 13 毫米,波谷和尖顶之间的氢分子分数和局部当量比差异先增大后减小。随着流速从 1.65 m/s 增加到 2.50 m/s,波谷和尖顶之间的氢分子分数和局部等效比差异减小,这是由于停留时间减少和速度引起的应变增加导致波谷和尖顶的整体曲率减小。随着氢含量从 50% 增加到 83%,由于火焰前沿曲率和氢的差异扩散效应增强,波谷和尖顶之间的氢分子分数和局部当量比差异扩大。随着等效比从 0.53 增加到 0.64,在恒定流速条件下观察到氢分子分数和波谷与尖顶之间的等效比差异有明显的增加趋势,这是有效路易斯数增加与波谷和尖顶曲率增加之间的权衡结果。
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引用次数: 0
Progress in Flow Control and Drag Reduction 流量控制和减阻方面的进展
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-06-05 DOI: 10.1007/s10494-024-00557-z
Kwing-So Choi, Davide Gatti, Iraj Mortazavi
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引用次数: 0
Low Cost Recurrent and Asymptotically Unbiased Estimators of Statistical Uncertainty on Averaged Fields for DNS and LES 用于 DNS 和 LES 的平均场统计不确定性的低成本重复和渐近无偏估计器
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-29 DOI: 10.1007/s10494-024-00556-0
Margaux Boxho, Thomas Toulorge, Michel Rasquin, Grégory Dergham, Koen Hillewaert

In the context of fundamental flow studies, experimental databases are expected to provide uncertainty margins on the measured quantities. With the rapid increase in available computational power and the development of high-resolution fluid simulation techniques, Direct Numerical Simulation and Large Eddy Simulation are increasingly used in synergy with experiments to provide a complementary view. Moreover, they can access statistical moments of the flow variables for the development, calibration, and validation of turbulence models. In this context, the quantification of statistical errors is also essential for numerical studies. Reliable estimation of these errors poses two challenges. The first challenge is the very large amount of data: the simulation can provide a large number of quantities of interest (typically about 180 quantities) over the entire domain (typically 100 million to 10 billion of degrees of freedom per equation). Ideally, one would like to quantify the error for each quantity at any point in the flow field. However, storing a long-term sequence of signals from many quantities over the entire domain for a posteriori evaluation is prohibitively expensive. The second challenge is the short time step required to resolve turbulent flows with DNS and LES. As a direct consequence, consecutive samples within the time series are highly correlated. To overcome both challenges, a novel economical co-processing approach to estimate statistical errors is proposed, based on a recursive formula and the rolling storage of short-time signals.

在基本流动研究中,实验数据库有望提供测量量的不确定性余量。随着可用计算能力的快速增长和高分辨率流体模拟技术的发展,直接数值模拟和大涡流模拟正越来越多地与实验协同使用,以提供互补的视角。此外,它们还可以获取流动变量的统计矩,用于湍流模型的开发、校准和验证。在这种情况下,统计误差的量化对数值研究也至关重要。这些误差的可靠估算面临两个挑战。第一个挑战是数据量非常大:模拟可以在整个域(每个方程通常有 1 亿至 100 亿个自由度)内提供大量相关量(通常约 180 个量)。理想情况下,我们希望量化流场中任意点的每个量的误差。然而,在整个域中存储来自许多量的长期信号序列以进行后验评估的成本过高。第二个挑战是 DNS 和 LES 解决湍流问题所需的时间步长较短。其直接后果是,时间序列中的连续样本高度相关。为了克服这两项挑战,我们提出了一种新颖、经济的协同处理方法,基于递归公式和短时间信号的滚动存储来估算统计误差。
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引用次数: 0
Modelling the Flow Conditions and Primary Atomization of an Air-Core-Liquid-Ring (ACLR) Atomizer Using a Coupled Eulerian–Lagrangian Approach 利用欧拉-拉格朗日耦合方法模拟气芯液环(ACLR)雾化器的流动条件和一次雾化过程
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-28 DOI: 10.1007/s10494-024-00555-1
Miguel Ángel Ballesteros Martínez, Deisy Becerra, Volker Gaukel

The Air-Core-Liquid-Ring atomizer is a pioneering internal-mixing pneumatic atomization technique designed for energy-efficient spray drying of highly viscous liquid feeds with substantial solid contents. However, it can suffer internal flow instabilities, which may lead to spray droplets with a wide variation in diameter. Experimental investigation of how flow conditions mechanistically determine the resulting droplet sizes is hindered by high velocities near the nozzle outlet. Therefore, this study addressed the issue by implementing a numerical model, employing a coupled Eulerian-Lagrangian approach with adaptive mesh refinement, to simulate the breakup of the liquid into ligaments and droplets. Additionally, Large Eddy Simulation was incorporated to replicate turbulent flow conditions observed in experiments. The numerical model demonstrated significant improvement in predicting liquid film thickness, compared to previous work. Additionally, the simulated droplet size distributions mirrored experimental trends, shifting to smaller sizes as pressure increased. Unfortunately, while reduced, there is a persistent underestimation of the lamella thickness and the droplet sizes at 0.2 MPa. In spite of this, the fact that the error propagates between the two phenomena underscores the effective coupling between Eulerian and Lagrangian approaches.

气芯液环雾化器是一种开创性的内部混合气动雾化技术,设计用于对含有大量固体成分的高粘度液体原料进行节能喷雾干燥。然而,它可能存在内部流动不稳定性,从而导致喷雾液滴直径变化很大。喷嘴出口附近的高速度阻碍了对流动条件如何从机理上决定所产生的液滴大小的实验研究。因此,本研究采用欧拉-拉格朗日耦合方法和自适应网格细化技术,建立了一个数值模型来模拟液体分解成韧带和液滴的过程,从而解决了这一问题。此外,还加入了大涡流模拟,以复制实验中观察到的湍流条件。与之前的工作相比,该数值模型在预测液膜厚度方面有了显著改进。此外,模拟的液滴大小分布反映了实验趋势,即随着压力的增加,液滴的大小变小。遗憾的是,在 0.2 兆帕压力下,模拟结果虽然降低了液膜厚度,但却持续低估了液滴尺寸。尽管如此,误差在两种现象之间传播的事实强调了欧拉方法和拉格朗日方法之间的有效耦合。
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引用次数: 0
Editorial Expression of Concern: A New Divergence Free Synthetic Eddy Method for the Reproduction of Inlet Flow Conditions for LES 编辑表达关切:用于再现 LES 入口流动条件的新型无发散合成涡方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-22 DOI: 10.1007/s10494-024-00548-0
R. Poletto, T. Craft, A. Revell
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引用次数: 0
Improved Prediction of the Flow in Cylindrical Critical Flow Venturi Nozzles Using a Transitional Model 使用过渡模型改进圆柱形临界流文丘里喷嘴的流量预测
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-18 DOI: 10.1007/s10494-024-00553-3
Sebastian Weiss, Bodo Mickan, Jiri Polansky, Kilian Oberleithner, Markus Bär, Sonja Schmelter

Critical flow Venturi nozzles (CFVNs) are a state-of-the-art secondary standard widely used for gas flow measurements with high precision. The flow rate correlates with the type and thickness of the boundary layer (BL) inside the nozzle throat. In the cylindrical type—one of the two standard designs of CFVNs—the nozzle throat encompasses a defined axial length in which the BL develops. This numerical study is concerned with the BL effects in a cylindrical CFVN by means of two turbulence models. Compared to experimental data, the k-(omega) SST model predicts the discharge coefficient well for high and low Reynolds numbers, but not in the intermediate regime. The (gamma)-(Re_{theta }) model, on the contrary, agrees well with experimental data in the entire flow range. Relevant quantities and profiles of the BL are separately investigated in the laminar, turbulent, and transitional region. The calculated laminar and turbulent BL thicknesses correspond to predictions based on integral methods for solving the BL equations. Simple representations are proposed for the Zagarola-Smits scaled laminar and turbulent deficit BL profiles removing the effects of axial position, Reynolds number, and pressure gradient. Furthermore, the shape factor is investigated as a characteristic parameter for determining the transitional region.

临界流文丘里喷嘴(CFVN)是最先进的二级标准,广泛用于高精度气体流量测量。流速与喷嘴喉管内边界层(BL)的类型和厚度相关。在圆柱形喷嘴(CFVN 的两种标准设计之一)中,喷嘴喉部包括一个确定的轴向长度,BL 就在其中形成。本数值研究通过两种湍流模型对圆柱形 CFVN 中的 BL 效应进行了研究。与实验数据相比,k-(omega) SST 模型能很好地预测高、低雷诺数下的排出系数,但在中间系统中却不能。相反,k-(ω)-(Re_{theta }) 模型在整个流动范围内都与实验数据吻合。分别研究了层流、湍流和过渡区的相关数量和 BL 曲线。计算得出的层流和湍流 BL 厚度与基于积分法求解 BL 方程的预测值一致。为 Zagarola-Smits 缩放层流和湍流亏损 BL 剖面提出了简单的表示方法,消除了轴向位置、雷诺数和压力梯度的影响。此外,还研究了形状系数,将其作为确定过渡区域的特征参数。
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引用次数: 0
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