Rarefaction effects on hypersonic boundary-layer stability

IF 3.8 2区工程技术 Q1 ENGINEERING, MECHANICAL Acta Mechanica Sinica Pub Date : 2023-11-09 DOI:10.1007/s10409-023-23184-x

Jihui Ou (, ), Chenyue Wang (, ), Jie Chen (, )

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Abstract

Near-space hypersonic vehicles could experience both continuous and rarefied flow regimes during the flight through atmosphere. The rarefaction effects on hypersonic boundary-layer stability are studied based on the Navier-Stokes (NS) equations and an improved NS model. The conventional linear stability theory (LST) is extended for rarefied shear flows by adopting slip boundary conditions and nonlinear transport relations. A flow at Mach 10 over a flat plate at an altitude of 55 km is the main case of analysis. The separate and combined effects of rarefaction (including surface slip and shear nonequilibrium) on stability by influencing the base flow and stability equation are clarified. The results show that for the base flow, rarefaction effects cause the boundary layer to become thinner and the generalized inflection point to move towards the wall. For stability, rarefaction effects have a stabilizing effect on the second-mode instability by influencing the base flow while a destabilizing effect by modifying the stability equation. The combined effects of rarefaction suppress the second-mode instability for different Mach number cases. However, for the first-mode instability, rarefaction effects play a destabilizing role. These results shed light on the hypersonic boundary-layer stability in the near-continuum regime from a macroscopic view.

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稀薄对高超声速边界层稳定性的影响

近空间高超音速飞行器在穿越大气层的飞行过程中可以经历连续和稀薄的气流状态。基于Navier-Stokes (NS)方程和改进的NS模型，研究了稀薄对高超声速边界层稳定性的影响。采用滑移边界条件和非线性输运关系，将传统的线性稳定性理论推广到稀薄剪切流动。以10马赫的速度在55公里高度的平板上流动是分析的主要案例。澄清了稀薄(包括表面滑动和剪切不平衡)通过影响基流和稳定性方程对稳定性的单独和联合影响。结果表明:对于基流，稀薄效应使边界层变薄，广义拐点向壁面移动;在稳定性方面，稀薄效应通过影响基流对第二模不稳定性具有稳定作用，而通过修改稳定性方程对第二模不稳定性具有不稳定作用。在不同马赫数情况下，稀薄效应的联合作用抑制了二次模不稳定性。然而，对于第一模不稳定性，稀薄效应起不稳定作用。这些结果从宏观的角度揭示了近连续体状态下高超声速边界层的稳定性。

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来源期刊

Acta Mechanica Sinica 物理-工程：机械

CiteScore

5.60

自引率

20.00%

发文量

1807

审稿时长

4 months

期刊介绍： Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics