Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers

LI Site; DONG Ming

doi:10.6052/1000-0992-21-016

Volume 51 Issue 2

Jun. 2021

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Li S T, Dong M. Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers. Advances in Mechanics, 2021, 51(2): 364-375 doi: 10.6052/1000-0992-21-016

Citation:

Li S T, Dong M. Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers. Advances in Mechanics, 2021, 51(2): 364-375 doi: 10.6052/1000-0992-21-016

Li S T, Dong M. Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers. Advances in Mechanics, 2021, 51(2): 364-375 doi: 10.6052/1000-0992-21-016

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Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers

doi: 10.6052/1000-0992-21-016

LI Site¹,
DONG Ming^{2
,
,}

1.
Department of Mechanics, Tianjin University, Tianjin 300072, China
2.
State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

More Information

Corresponding author: dongming@imech.ac.cn
Received Date: 2021-04-09
Accepted Date: 2021-06-02

Available Online: 2021-06-07

Publish Date: 2021-06-25

Abstract

Abstract

The e^N method is one of the most widely used transition-prediction approaches with clear physical meaning, which however fails to take into account the effects of surface abrupt changes, such as roughness elements, gaps, steps, etc., in boundary-layer flows. However, the latter appears frequently on the surface of flying vehicles. A recently developed local scattering framework provides an effective means to address this issue. Based on the physical mechanisms of transition, the theoretical framework quantitatively describes two regimes, the local receptivity and the linear-mode scattering, leading to a modification of the transition criterion by the parameterized receptivity and transmission coefficients. In order to confirm the effectiveness of the theoretical framework, a set of direct numerical simulations of hypersonic boundary-layer flows are designed, namely, introducing the same inflow modal perturbations for two cases with a smooth surface and a rough surface, respectively. The transition processes are simulated, and the roughness effect on transition is quantified. The numerical results are found to agree well with the theoretical predictions of the linear-mode scattering regime.
- hypersonic boundary layer,
- transition prediction,
- linear stability theory,
- local scattering theory

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References(23)

References

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