Asymptotic theory of Mack-mode receptivity in hypersonic boundary layers due to interaction of a heating/cooling source and a freestream sound wave

doi:10.1017/jfm.2023.272

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	Asymptotic theory of Mack-mode receptivity in hypersonic boundary layers due to interaction of a heating/cooling source and a freestream sound wave
	Zhao, Lei ; He, Jianhong ; Dong M(董明)
刊名	JOURNAL OF FLUID MECHANICS
	2023-05
卷号	963 页码:A34
关键词	boundary layer receptivity hypersonic flow
ISSN号	0022-1120
DOI	10.1017/jfm.2023.272
英文摘要	In this paper, we study the local receptivity of the inviscid Mack modes in hypersonic boundary layers induced by the interaction between a surface heating or cooling source ; the second-order contribution appears in the Stokes layer; the third-order contribution appears in both the main and wall layers. Interestingly, at a moderate Reynolds number, the third-order contribution to the receptivity efficiency may be quantitatively greater than the second-order one, but this does not lead to breakdown of this asymptotic theory. Assuming the HCS intensity to be sufficiently weak, the asymptotic predictions are made for four representative cases involving different Mach numbers and wall temperatures, which are compared with the results obtained by the finite-Reynolds-number theory based on either the extended compressible Orr-Sommerfeld equations or the harmonic linearised Navier-Stokes (HLNS) calculations. Taking into account the first three orders of the receptivity efficiency, the asymptotic predictions are confirmed to be sufficiently accurate even when the Reynolds number is a few thousands, and the agreement with the finite-Reynolds-number calculations is better when the wall temperature of the base flow approaches the adiabatic wall temperature. The HLNS calculations are also conducted for moderate HCS intensities. It is found that the nonlinearity does not affect the receptivity coefficient much even when the temperature distortion of the HCS reaches 80 % of the temperature at the wall.
分类号	一类/力学重要期刊
WOS研究方向	WOS:000993301800001
语种	英语
资助机构	National Science Foundation of China [U20B2003, 12002235, 91952202, 11988102]
其他责任者	Dong, M
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/92217]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.(Dong Ming) Peking Univ Sino Russian Math Ctr Beijing 100871 Peoples R China 2.(Dong Ming) Chinese Acad Sci Inst Mech State Key Lab Nonlinear Mech Beijing 100190 Peoples R China 3.(Zhao Lei, He Jianhong) Tianjin Univ Dept Mech Tianjin 300072 Peoples R China
推荐引用方式 GB/T 7714	Zhao, Lei,He, Jianhong,Dong M. Asymptotic theory of Mack-mode receptivity in hypersonic boundary layers due to interaction of a heating/cooling source and a freestream sound wave[J]. JOURNAL OF FLUID MECHANICS,2023,963:A34.
APA	Zhao, Lei,He, Jianhong,&董明.(2023).Asymptotic theory of Mack-mode receptivity in hypersonic boundary layers due to interaction of a heating/cooling source and a freestream sound wave.JOURNAL OF FLUID MECHANICS,963,A34.
MLA	Zhao, Lei,et al."Asymptotic theory of Mack-mode receptivity in hypersonic boundary layers due to interaction of a heating/cooling source and a freestream sound wave".JOURNAL OF FLUID MECHANICS 963(2023):A34.