| 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) | |
| Source Publication | JOURNAL OF FLUID MECHANICS
 |
| 2023-05 | |
| Volume | 963Pages:A34 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | boundary layer receptivity hypersonic flow |
| DOI | 10.1017/jfm.2023.272 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000993301800001 |
| Funding Organization | National Science Foundation of China [U20B2003, 12002235, 91952202, 11988102] |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Dong, M |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/92217 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.(Zhao Lei, He Jianhong) Tianjin Univ Dept Mech Tianjin 300072 Peoples R China 2.(Dong Ming) Chinese Acad Sci Inst Mech State Key Lab Nonlinear Mech Beijing 100190 Peoples R China 3.(Dong Ming) Peking Univ Sino Russian Math Ctr Beijing 100871 Peoples R China |
| Recommended Citation 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.Rp_Au:Dong, M |
| 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. |
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| Jp2023A131.pdf（2335KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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