Approximated methods for the analysis of the unsteady shock wave motion in inlet unstart processes

IF 3.4 2区 物理与天体物理 Q1 ENGINEERING, AEROSPACE
Carlos Carbajosa, Ángel Sanz-Andrés, Alejandro Martínez-Cava, Sergio Marín-Coca, Sebastián Franchini
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引用次数: 0

Abstract

The behavior of shock waves in supersonic and hypersonic inlets is instrumental in the operation of ramjets and scramjets, as it is critical for preventing undesired phenomena such as unstart and buzz. Studying the evolution of shock waves within the inlet duct is essential for understanding these phenomena. This work presents approximated solutions to the novel and recently published DS2M (Duct Shock Speed Model), which allows for the estimation of normal shock motion speed, the identification of equilibrium positions, and the equilibrium positions stability analysis. Although the DS2M model has been validated through experimental comparisons, its numerical resolution and complexity hinder preliminary design analysis and rapid calculations. In this study, simplified models are introduced, providing straightforward analytical expressions to evaluate shock wave dynamics valid in the Mach-close-to-unity range (which is a common incident Mach number range for normal shock waves to appear in the design of engine inlets). The approximations developed here facilitate the identification, during the early stages of design, of key parameter influences. The proposed formulations allow for rapid and reliable assessment of motion speed, equilibrium positions, and stability, providing explicit expressions avoiding the need for advanced computational tools such as nonlinear solvers. Within the range of validity of the simplified DS2M models, the results demonstrate good agreement with the full model. This work provides analytical tools for the preliminary design of supersonic and hypersonic inlets, extending the capabilities of the original model, and explicitly showing the influence of design parameters on shock wave dynamics in the Mach number range considered.

Abstract Image

进气道起动过程中非定常激波运动的近似分析方法
超音速和高超声速进气道的激波行为对冲压发动机和超燃冲压发动机的运行至关重要,因为它对防止不希望出现的现象(如启动和嗡嗡声)至关重要。研究进气道内激波的演化是理解这些现象的必要条件。这项工作提出了新的和最近发表的DS2M(管道冲击速度模型)的近似解决方案,该模型允许估计正常的冲击运动速度,确定平衡位置,以及平衡位置稳定性分析。虽然DS2M模型已经通过实验对比得到了验证,但其数值分辨率和复杂性阻碍了初步设计分析和快速计算。在这项研究中,引入了简化模型,提供了直接的解析表达式来评估在接近单位马赫数范围内有效的激波动力学(这是发动机进气道设计中常见的正常激波入射马赫数范围)。这里开发的近似有助于在设计的早期阶段识别关键参数的影响。提出的公式允许快速可靠地评估运动速度,平衡位置和稳定性,提供明确的表达式,避免需要先进的计算工具,如非线性求解器。在简化DS2M模型的有效范围内,计算结果与完整模型吻合较好。这项工作为超音速和高超声速进气道的初步设计提供了分析工具,扩展了原始模型的能力,并明确显示了设计参数对所考虑的马赫数范围内激波动力学的影响。
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来源期刊
Acta Astronautica
Acta Astronautica 工程技术-工程:宇航
CiteScore
7.20
自引率
22.90%
发文量
599
审稿时长
53 days
期刊介绍: Acta Astronautica is sponsored by the International Academy of Astronautics. Content is based on original contributions in all fields of basic, engineering, life and social space sciences and of space technology related to: The peaceful scientific exploration of space, Its exploitation for human welfare and progress, Conception, design, development and operation of space-borne and Earth-based systems, In addition to regular issues, the journal publishes selected proceedings of the annual International Astronautical Congress (IAC), transactions of the IAA and special issues on topics of current interest, such as microgravity, space station technology, geostationary orbits, and space economics. Other subject areas include satellite technology, space transportation and communications, space energy, power and propulsion, astrodynamics, extraterrestrial intelligence and Earth observations.
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