Effect of surface temperature strips on the evolution of supersonic and hypersonic Mack modes: Asymptotic theory and numerical results

doi:10.1103/PhysRevFluids.7.053901

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	Effect of surface temperature strips on the evolution of supersonic and hypersonic Mack modes: Asymptotic theory and numerical results
	Zhao, Lei 3; Dong, Ming 1,2
刊名	PHYSICAL REVIEW FLUIDS
	2022-05-05
卷号	7 期号:5 页码:34
ISSN号	2469-990X
DOI	10.1103/PhysRevFluids.7.053901
通讯作者	Dong, Ming(dongming@imech.ac.cn)
英文摘要	In this paper, we perform an asymptotic study of the effect of local surface temperature (heating or cooling) strips on oncoming inviscid Mack instability in supersonic or hypersonic boundary layers, which is presented for a canonic problem to shed light on the physical mechanisms by which surface imperfections impact on boundary-layer transition to turbulence. Assuming the Reynolds number to be sufficiently large, the change of the Mack amplitude due to interaction with the temperature strip is quantified by an explicit model developed by the multiscale analysis. It is revealed that the temperature strip plays an equivalent role as a roughness element by producing mean-flow distortions described by the triple-deck structure. However, the former renders a more complicated interaction with the Mack modes since the lower deck is compressible to leading-order accuracy. Based on this model, a systematic study for different control parameters is conducted. A heating strip enhances (or suppresses) the Mack modes with frequencies below (or above) a critical value, whereas a cooling strip plays the opposite role. The critical frequency is found to be the most unstable frequency of the second mode, instead of the synchronization frequency as was found in some previous works for both roughness and temperature-strip configurations. A few phenomena in contrast to the roughness configuration are observed and readily explained by the asymptotic model. The asymptotic predictions agree favorably with the Harmonic linearized Navier-Stokes calculations and the direct numerical simulations, especially when the wall temperature is low.
WOS关键词	LAMINAR-FLOW CONTROL ; BOUNDARY-LAYER-FLOW ; TOLLMIEN-SCHLICHTING WAVES ; VORTICAL DISTURBANCES ; TRAILING-EDGE ; INSTABILITY ; STABILITY ; ROUGHNESS ; SIMULATION ; RECEPTIVITY
WOS研究方向	Physics
语种	英语
WOS记录号	WOS:000799318000001
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/89558]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Dong, Ming
作者单位	1.Peking Univ, Sino Russian Math Ctr, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 3.Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Lei,Dong, Ming. Effect of surface temperature strips on the evolution of supersonic and hypersonic Mack modes: Asymptotic theory and numerical results[J]. PHYSICAL REVIEW FLUIDS,2022,7(5):34.
APA	Zhao, Lei,&Dong, Ming.(2022).Effect of surface temperature strips on the evolution of supersonic and hypersonic Mack modes: Asymptotic theory and numerical results.PHYSICAL REVIEW FLUIDS,7(5),34.
MLA	Zhao, Lei,et al."Effect of surface temperature strips on the evolution of supersonic and hypersonic Mack modes: Asymptotic theory and numerical results".PHYSICAL REVIEW FLUIDS 7.5(2022):34.