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Investigation of flow characteristics of various-aspect-ratio rectangular nozzles with an aft deck 带后甲板的不同展弦比矩形喷管流动特性研究
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-11-30 DOI: 10.1007/s00193-024-01188-z
W.-L. Chen, W.-H. Huang, W.-H. Lai

This study presents an experimental and numerical investigation to characterize the plume pattern of a high-aspect-ratio rectangular convergent/divergent nozzle with an aft deck in under-expanded conditions. The function of an aft deck is to shield the infrared signal of an exhaust plume at its strongest intensity located at the immediate downstream region of the nozzle exit. However, this practice may cause undesirable plume deflection, which needs to be reduced as much as possible. The nozzle pressure ratios ranged from 2 to 4, and the effect of the nozzle exit aspect ratio was examined using wall static pressure measurements and schlieren visualization for cold flows. The experimental setup involved a 3D-printed aft deck nozzle made of acrylonitrile butadiene styrene material, which underwent surface smoothing using acetone vapor. Numerical simulations were conducted using the commercial STARCCM(^{mathrm {+}}) software to analyze static pressure ratio variations at the aft deck. The investigation revealed that a nozzle pressure ratio of 3 induced a downward plume deflection at aspect ratio values of 6.77 and 7.54, while an increased aspect ratio of 8.35 resulted in the horizontal ejection of the plume. Moreover, at an aspect ratio of 8.35, the plume was ejected horizontally for nozzle pressure ratios ranging from 2 to 4. At a nozzle pressure ratio of 4, the flow separated from the deck without reattaching, and the plume moved horizontally with minimal deflection. The findings suggest that a combination of a high aspect ratio and sufficiently high nozzle pressure ratio can effectively reduce plume deflection.

本文采用实验和数值方法研究了带后甲板的高展弦比矩形会聚/发散喷管在欠膨胀条件下的羽流特征。后甲板的作用是屏蔽位于喷管出口直接下游区域的最强强度的排气羽流的红外信号。然而,这种做法可能会导致不希望的羽流偏转,这需要尽可能地减少。喷嘴压力比范围为2 ~ 4,并通过壁面静压测量和冷流动纹影显示来研究喷嘴出口宽高比的影响。实验装置包括一个3d打印的后甲板喷嘴,该喷嘴由丙烯腈-丁二烯-苯乙烯材料制成,使用丙酮蒸汽进行表面平滑。采用商用STARCCM (^{mathrm {+}})软件进行数值模拟,分析后甲板静压比变化。研究发现,当喷嘴压力比为3时,在展弦比为6.77和7.54时,羽流会向下偏转,而当展弦比增加到8.35时,羽流会向水平方向喷射。此外,在长径比为8.35时,喷嘴压力比为2 ~ 4时羽流水平喷射。在喷嘴压力比为4时,气流从甲板上分离而没有重新附着,羽流以最小的偏转水平移动。研究结果表明,高展弦比和足够高的喷嘴压力比相结合可以有效地减少羽流偏转。
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引用次数: 0
Normal shock wave coherence relative to other flow events with high and low levels of inlet Mach wave unsteadiness 正常激波相干性相对于其他流动事件与高和低水平的进口马赫波不稳定
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-11-27 DOI: 10.1007/s00193-024-01202-4
W. Manneschmidt, P. M. Ligrani, M. Sorrell, A. M. Ciccarelli, B. Weigand

Considered are interactive relationships between a normal shock wave and the downstream shock wave leg of the associated lambda foot, as well as between a normal shock wave and time-varying static pressure as measured along the bottom surface of the test section. Such relationships are investigated as they vary with two different magnitudes of inlet unsteady Mach wave intensity and are characterized using shadowgraph flow visualization data, as well as power spectral density, magnitude-squared coherence, and time lag data. Employed for the investigation is a specialty test section with an inlet Mach number of 1.54, as utilized within a transonic/supersonic wind tunnel. The resulting data provide evidence of distinct interactions over a wide range of frequencies between the normal shock wave and the downstream shock wave leg of the lambda foot for low inlet unsteady Mach wave intensity. Note that these are not present in the same form and over the same ranges of frequency with high inlet unsteady Mach wave intensity. These differences are partially due to the location where flow events originate. The most significant sources of flow unsteadiness within the present investigation are mostly associated with the normal and oblique shock waves (with low inlet unsteady Mach wave intensity), and mostly with inlet flow disturbances from unsteady Mach waves (with high inlet unsteady Mach wave intensity). The present experimental results additionally evidence important connections between the normal shock wave and unsteady flow events within lower portions of the lambda foot, especially near the adjacent boundary layer separation region.

考虑了正常冲击波与相关lambda脚的下游冲击波腿之间的相互作用关系,以及正常冲击波与沿着测试段底面测量的时变静压之间的相互作用关系。研究了这种关系在两种不同的进口非定常马赫波强度下的变化,并使用阴影流可视化数据、功率谱密度、幅度平方相干性和时滞数据进行了表征。该研究采用了一个特殊的测试段,其进口马赫数为1.54,用于跨声速/超音速风洞。所得数据提供了证据,证明在低进口非定常马赫波强度下,正常激波和lambda脚下游激波腿之间在很宽的频率范围内存在明显的相互作用。请注意,这些不是以相同的形式和相同的频率范围出现的高进口非定常马赫波强度。这些差异部分是由于流事件产生的位置。在本研究中,最重要的流动非定常源主要与正向激波和斜向激波有关(进口非定常马赫波强度低),主要与非定常马赫波的进口流动扰动有关(进口非定常马赫波强度高)。目前的实验结果进一步证明了正常激波与λ脚下部,特别是相邻边界层分离区附近的非定常流动事件之间的重要联系。
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引用次数: 0
Numerical and experimental study of underwash effect and its role in blast-induced traumatic brain injury 下洗效应及其在爆炸致创伤性脑损伤中的作用的数值与实验研究
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-11-16 DOI: 10.1007/s00193-024-01183-4
S. S. Santhanam, P. Alagappan

The blast wave interactions with the helmet–head assembly can result in localized pressure amplification at certain locations around the head. The underwash effect is a typical example of such interaction in the gap between the suspension-type combat helmet and the head. There are hypotheses in the literature that suspect an increase in the severity of blast-induced traumatic brain injury due to combat helmet usage under blast loading. But the literature lacks concrete experimental visual evidence for the underwash effect and the cause–effect relationship between the underwash effect and brain injury. Firstly, in this study, shock wave interactions causing the underwash effect are visualized using the schlieren imaging technique. Secondly, a reasonable correlation between a significantly large, localized pressure amplification due to the underwash effect and the brain’s mechanical stress response was observed with an idealized helmet–head model in a coupled Eulerian–Lagrangian framework. But further studies are needed with more realistic models to prove their significance in the design of blast-resistant combat helmets.

冲击波与头盔组件的相互作用可导致头部周围某些位置的局部压力放大。悬架式战斗头盔与头部间隙的下冲效应是这种相互作用的典型例子。文献中有假设认为,由于在爆炸载荷下使用战斗头盔,爆炸引起的创伤性脑损伤的严重程度会增加。但文献缺乏具体的实验视觉证据来证明下冲效应以及下冲效应与脑损伤的因果关系。首先,本研究利用纹影成像技术可视化了激波相互作用引起的下洗效应。其次,在欧拉-拉格朗日耦合框架下,通过理想化的头盔-头部模型,观察到由下冲效应引起的显著的局部压力放大与大脑机械应力响应之间的合理相关性。但需要进一步的研究,以更真实的模型来证明其在防爆战斗头盔设计中的意义。
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引用次数: 0
The simultaneous macroscopic and mesoscopic numerical simulation of metal spalling by using the fine-mesh finite element—smoothed particle hydrodynamics adaptive method 采用细网格有限元-光滑颗粒流体力学自适应方法对金属剥落过程进行宏观和细观同步数值模拟
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-11-06 DOI: 10.1007/s00193-024-01195-0
J. T. Ma, Q. G. He, X. W. Chen

It is extremely important to predict the growth, aggregation, and coalescence failure of voids during the dynamic tensile fracture of ductile metals. In the present work, we used the finite element—smoothed particle hydrodynamics (FE-SPH) adaptive method to simulate the plate impact of tantalum simultaneously from macro- and meso-scales. For macro simulation results, the spallation phenomena and free-surface velocity were in good agreement with the experimental results, verifying the correctness of the simulation method and material model. Moreover, the free surface velocity profiles simulated by the FE-SPH adaptive method is closer to the experiment than those by the finite element method. According to the magnified details of the damage, we envisaged that the deleted elements are converted to SPH particles to represent the formation of voids. By comparing the porosity, we demonstrated the rationality of this envisagement and determined the fine mesh size to simulate growth, aggregation, and coalescence of actual meso-voids. On this basis, we proposed a void-position tracking method to accurately track the temporal and spatial information of voids. Such information would provide a detailed range of damage and describe the features and macro factors affecting void evolution. In general, the fine mesh FE-SPH method can well predict the damage distribution of spallation simultaneously in macro- and meso-scales, and this simple method has important applications.

预测塑性金属动态拉伸断裂过程中孔洞的生长、聚集和聚结破坏具有十分重要的意义。本文采用有限元-光滑粒子流体力学(FE-SPH)自适应方法,从宏观和中观尺度同时模拟了钽对平板的冲击。宏观模拟结果表明,散裂现象和自由面速度与实验结果吻合较好,验证了模拟方法和材料模型的正确性。此外,FE-SPH自适应方法模拟的自由表面速度分布比有限元法更接近实验结果。根据损伤的放大细节,我们设想被删除的元素转化为SPH粒子来代表空洞的形成。通过比较孔隙率,我们证明了这种设想的合理性,并确定了模拟实际中孔生长、聚集和聚并的细孔尺寸。在此基础上,提出了一种能够准确跟踪空洞时空信息的空洞位置跟踪方法。这些信息将提供详细的损伤范围,并描述影响空洞演化的特征和宏观因素。总的来说,细网格FE-SPH方法可以很好地同时预测宏观和细观尺度上的裂裂损伤分布,这种简单的方法具有重要的应用价值。
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引用次数: 0
Higher-order moments of the Mott-Smith shock approximation 莫特-史密斯激波近似的高阶矩
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-10-25 DOI: 10.1007/s00193-024-01201-5
S. Boccelli

This technical note reports the expression of selected higher-order moments associated with the Mott-Smith solution of the shock-wave profile. The considered moments are the pressure tensor, the heat-flux vector and tensor, the fourth-order double-tensor, its full contraction, and the fifth-order moment vector. The resulting shock profiles are shown for Mach 2 and Mach 10 conditions.

本技术说明报告了与激波剖面的莫特-史密斯解相关的选定高阶矩的表达式。考虑的矩是压力张量,热通量矢量和张量,四阶双张量,它的完全收缩,和五阶矩矢量。所得到的激波曲线显示为马赫数2和马赫数10条件。
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引用次数: 0
Numerical simulation of shock attenuation with real gas effects and a turbulent boundary layer in the expansion tube 考虑真实气体效应和膨胀管内湍流边界层的激波衰减数值模拟
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-10-14 DOI: 10.1007/s00193-024-01198-x
H. Sakamoto, S. Sato, N. Ohnishi

The influence of real gas effects and a turbulent boundary layer on shock wave attenuation in the expansion tube is studied by numerically solving the axisymmetric compressible Navier–Stokes equations with an adaptive mesh refinement technique. Numerical simulation results reveal that the ideal gas assumption is not applicable to the expansion tube, and the turbulent boundary layer plays a major role in decreasing the shock wave speed in the acceleration tube of the expansion tube. Shock wave attenuation is attributed to the turbulent boundary layer decreasing the pressure behind the shock wave. The numerical simulations that include the real gas effects and the development of turbulent boundary layers qualitatively agree with analytical solutions in the shock tube, and they show good agreement with the experimental results, especially for the shock speed in the acceleration tube of the expansion tube. Both effects should be considered in the numerical simulation model aimed to support experiments in expansion tubes.

采用自适应网格细化技术对轴对称可压缩Navier-Stokes方程进行数值求解,研究了实际气体效应和湍流边界层对膨胀管内激波衰减的影响。数值模拟结果表明,理想气体假设不适用于膨胀管,湍流边界层对膨胀管加速管内激波速度的降低起主要作用。激波的衰减是由于湍流边界层降低了激波后的压力。考虑实际气体效应和湍流边界层发展的数值模拟结果与激波管内的解析解定性一致,与实验结果吻合较好,特别是膨胀管加速管内的激波速度。在支持膨胀管实验的数值模拟模型中,应考虑这两种影响。
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引用次数: 0
A numerical study of laminar/transitional shock–boundary layer interaction on a hypersonic double wedge using a modified (gamma )-transition model 高超声速双楔上层流/过渡激波-边界层相互作用的改进(gamma ) -过渡模型数值研究
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-10-04 DOI: 10.1007/s00193-024-01187-0
R. C. DiviaHarshaVardini, G. Rajesh, K. Arul Prakash

Accurate prediction of the shock–boundary layer interactions (SBLIs) region, encompassing boundary layer separation, reattachment, and transition, is crucial for high-speed flows due to its impact on the aerothermodynamics and performance, particularly at hypersonic speed. Among various types of compression ramp SBLI (laminar, turbulent, or transitional), several experimental and numerical investigations on turbulent SBLI are available in the literature. However, very few RANS-based numerical studies exist on the high-speed laminar/transitional SBLI due to the complexity of modeling the boundary layer transition in hypersonic flows. This study numerically analyzes boundary layer transition and the SBLI interaction region of a double-wedge configuration at hypersonic speeds using a modified (gamma )-transition model. An in-house solver developed with a transition model and SST k(omega ) turbulence model is utilized for this study. A parametric analysis is also carried out to study the effect of wall temperature, wedge length, and wedge angle on the interaction region and transition for various types of compression ramp SBLI. The separation region of the boundary layer and the transition location were estimated using numerical schlieren and Stanton numbers for different parameters. The results show that the modified (gamma )-model predicts the boundary layer separation, reattachment, and transition of laminar/transitional SBLI appropriately compared to a fully turbulent model for all considered parameters.

精确预测激波-边界层相互作用(SBLIs)区域,包括边界层分离、再附着和过渡,对高速流动至关重要,因为它会影响空气热力学和性能,特别是在高超声速下。在各种类型的压缩坡道SBLI(层流、湍流或过渡)中,对湍流SBLI进行了一些实验和数值研究。然而,由于高超声速流动中边界层转捩的建模复杂性,基于ranss的高速层流/过渡SBLI的数值研究很少。本文采用改进的(gamma ) -转捩模型,对高超声速双楔结构边界层转捩和SBLI相互作用区域进行了数值分析。本研究使用了一个内部求解器,该求解器采用了过渡模型和SST k - (omega )湍流模型。通过参数化分析,研究了壁面温度、楔形长度和楔形角度对不同类型压缩斜板SBLI相互作用区域和过渡的影响。利用数值纹影数和斯坦顿数对不同参数下边界层的分离区域和过渡位置进行了估计。结果表明,与完全湍流模型相比,改进的(gamma ) -模型对层流/过渡SBLI的边界层分离、再附着和过渡都有较好的预测。
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引用次数: 0
Detonation behaviors in a curved tube with and without an obstacle 有和无障碍物弯曲管内的爆轰行为
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-10-01 DOI: 10.1007/s00193-024-01200-6
Y. Zeng, H.-H. Ma, F. Yuan, Y. Ge, L.-Q. Wang

Experiments were conducted to investigate detonation propagation in a curved tube filled with stoichiometric 2H(_{2}+)O(_{2}+)7Ar and CH(_{4}+)2O(_{2}). The test section of the experimental setup was a semicircular channel with an internal radius of 500 mm. Detonation velocities were calculated based on the arrival time of the wave front, monitored by pressure transducers. The detonation cellular evolution was recorded using smoked foils. The results revealed that after crossing the obstacle, the detonation wave failed and promptly re-initiated. It then decayed from an overdriven detonation to a steady-state detonation. The detonation development processes were divided into five regimes. The formation of the boundary behind the obstacle and the generation mechanism of the overdriven detonation were thoroughly analyzed. The formation of the boundary behind the obstacle is associated with the curved shock front and the non-uniform cellular structure. The re-initiation distance for an unstable mixture in a curved tube was significantly shorter than that in a straight channel. In the absence of the obstacle, the cell width decreased radially outward, a linear relationship was determined. The speed of the detonation wave initially decreased and then gradually increased.

用化学计量量2H (_{2}+) O (_{2}+) 7Ar和CH (_{4}+) 2O (_{2})填充的弯曲管内爆轰传播实验进行了研究。实验装置的测试段为半圆形通道,内半径为500mm。在压力传感器的监测下,根据波前到达时间计算爆轰速度。用烟熏箔片记录了爆炸细胞的演化过程。结果表明,在越过障碍物后,爆震波失效并迅速重新启动。然后它从一个过度驱动的爆炸衰减到一个稳态爆炸。爆轰发展过程分为五个阶段。深入分析了障碍物后边界的形成及超驱动爆轰的产生机理。障碍物后边界的形成与弯曲的激波锋和非均匀的细胞结构有关。不稳定混合物在弯管内的再起爆距离明显短于在直管内的再起爆距离。在没有障碍物的情况下,细胞宽度呈径向向外减小,并确定为线性关系。爆震波速度先减小后逐渐增大。
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引用次数: 0
Study of the blast resistance and protection mechanism of polyurea-coated armor composite structures: experiments and simulations 聚氨酯涂层装甲复合结构的抗爆炸性能及防护机理研究:实验与模拟
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-09-23 DOI: 10.1007/s00193-024-01190-5
J. He, X. Wang, H. Zhang, X. Sun, M. Wu, D. Pi, W. Qin, Y. Hu

This paper focuses on the blast resistance performance and protection mechanism of a polyurea-sprayed vehicle armor composite structure under blast impact. We study the blast resistance performance of a steel plate with composite structures in four different spray configurations, which depend on whether spraying occurs and the spray position on the steel plate. First, near-field airburst tests are conducted for four different sprayed types of composite structures for a 2-kg TNT equivalent, and then, the test conditions are simulated using LS-DYNA software. Based on the verification of the accuracy of the calculation model, the dynamic response of the back-sprayed structure at different standoff distances is compared and analyzed. The test and simulation results reveal that compared with other spraying configurations, the back-sprayed structure has better blast resistance, and the low impedance ratio of the front-sprayed structure is the major cause of the aggravation of the structure damage. With the decrease in the standoff distance, the deformation range and flatness factor of the structure are constantly reduced, and the damage mode and protection mechanism of the composite structure keep changing. The blast resistance performance of polyurea is mainly based on the energy absorption and storage during the tensile phase and the energy release and dissipation during the rebound phase. For the back-sprayed structure, the steel plate is always the main energy-absorbing structure. In a certain load range, the energy absorption ratio of polyurea is proportional to the strength of the blast load. Additionally, when the load strength exceeds the tolerance limit of the surface steel plate, the blast resistance of polyurea cannot be effectively exerted. In such a case, the damage modes of steel plate and polyurea tend to be similar.

研究了聚氨酯喷涂汽车装甲复合材料结构在爆炸冲击下的抗爆炸性能和防护机理。研究了四种不同喷射方式下复合结构钢板的抗爆炸性能,这取决于是否发生喷射以及喷射在钢板上的位置。首先对4种不同喷施类型的复合结构进行了2 kg TNT当量近场空爆试验,并利用LS-DYNA软件对试验条件进行了模拟。在验证计算模型准确性的基础上,对比分析了背喷结构在不同距离下的动力响应。试验和仿真结果表明,与其他喷射方式相比,后喷结构具有更好的抗爆破性能,前喷结构阻抗比低是结构损伤加剧的主要原因。随着隔距的减小,结构的变形范围和平整度系数不断减小,复合材料结构的损伤模式和保护机制不断变化。聚脲的抗爆炸性能主要基于拉伸阶段的能量吸收和储存以及反弹阶段的能量释放和耗散。对于背喷结构,钢板一直是主要的吸能结构。在一定载荷范围内,聚脲的能量吸收比与爆炸载荷的强度成正比。此外,当载荷强度超过表面钢板的公差极限时,聚脲的抗爆炸性能不能有效发挥。在这种情况下,钢板和聚脲的损伤模式趋于相似。
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引用次数: 0
An experimental and kinetic modeling study of the autoignition of syngas mixtures behind reflected shock waves 反射冲击波后合成气混合物自燃的实验和动力学模型研究
IF 1.7 4区 工程技术 Q3 MECHANICS Pub Date : 2024-09-22 DOI: 10.1007/s00193-024-01191-4
P. A. Vlasov, V. N. Smirnov, G. A. Shubin, A. V. Arutyunov

The results of an experimental and kinetic modeling study of the ignition of (hbox {H}_{{2}}{-}hbox {CO}{-}hbox {O}_{{2}}{-}hbox {Ar}) mixtures behind the reflected shock wave are reported. The experiments were performed with test mixtures containing (0.75{-}3.0{%},hbox {H}_{{2}}), (0{%}{-}3.0{%},hbox {CO}), and (1.5{%},hbox {O}_{{2}}) in argon at temperatures from 950 to 1650 K and a total gas concentration of ({sim }10^{{-5}}~ hbox {mol}/hbox {cm}^{{3}}). The reaction was monitored by recording the time evolution of the pressure behind the reflected shock wave, intensity of the chemiluminescence of electronically excited OH* radicals at 308.0 ± 2.0 nm, and the absorption by ground-state OH radicals at a 306.772-nm bismuth atomic line. The measured parameters were the time (uptau _{{1}}) it took to reach a ground-state OH concentration of (2.0 times 10^{{-9}}~hbox {mol}/hbox {cm}^{{3}}) and the time (uptau _{{2}}) to reach the maximum OH* emission intensity. Kinetic simulations demonstrated that (uptau _{{1}}) corresponds to the beginning of fuel consumption, and (uptau _{{2}}) to the time for most of the fuel to be consumed. Therefore, the process of ignition was treated as consisting of two stages: the induction period (uptau _{{1}}) and the burnout time (uptau _{{2}}-uptau _{{1}}). These two time intervals demonstrate different sensitivity to the elementary reactions of the kinetic mechanism. A numerical model capable of predicting the effects of the presence of hydrocarbon impurity, oxygen vibrational relaxation, and pressure rise was used to simulate the experiment. The best agreement between experimental and theoretical results is achieved when these additional factors are taken into account. In addition to the sensitivity coefficient analysis for identifying the most important reactions, a new criterion, referred to as the relative integrated production, was proposed, which compliments the sensitivity coefficient analysis through its ability to identify the most productive reactions.

报告了对反射冲击波后的(hbox {H}_{2}}{-}hbox {CO}{-}hbox {O}_{2}}{-}hbox {Ar})混合物点火的实验和动力学模型研究结果。实验使用的测试混合物包括:(0.75{-}3.0{%}(box {H}_{2}})、(0{%}{-}3.0{/%}(box {CO})和(1.5{%},hbox {O}_{{2}}) 在氩气中进行,温度为 950 至 1650 K,气体总浓度为 ({sim }10^{{-5}}~ hbox {mol}/hbox {cm}^{3}} )。通过记录反射冲击波后压力的时间变化、电子激发的 OH* 自由基在 308.0 ± 2.0 nm 处的化学发光强度以及基态 OH 自由基在 306.772 nm 铋原子线处的吸收,对反应进行了监测。测量参数是达到基态 OH 浓度为 2.0 倍 10^{{-9}~hbox {mol}/hbox {cm}^{{3}} 的时间和达到最大 OH* 发射强度的时间。动力学模拟表明,(uptau _{{1}})对应于燃料消耗的开始时间,而(uptau _{{2}})对应于大部分燃料被消耗的时间。因此,点火过程被视为由两个阶段组成:诱导期(uptau _{{1}})和燃尽时间(uptau _{{2}}-uptau _{{1}})。这两个时间间隔显示了对动力学机制基本反应的不同敏感性。我们使用了一个能够预测碳氢化合物杂质的存在、氧振动弛豫和压力上升等影响的数值模型来模拟实验。当考虑到这些额外因素时,实验结果和理论结果之间的一致性最好。除了通过灵敏度系数分析来确定最重要的反应之外,还提出了一个新的标准,即相对综合产量,该标准通过其确定产量最高的反应的能力对灵敏度系数分析进行了补充。
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引用次数: 0
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Shock Waves
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