Analysis of Slip Effects on the Stability and Interactions of Mach 5 Flat-Plate Boundary-Layer Waves

Abstract

The issue of boundary-layer transition with slight rarefaction for high-speed aircraft has recently received increased attention. In this paper, the stability and resonant interactions of boundary-layer waves for a Mach 5 flat plate under the slip effect are investigated using direct numerical simulation (DNS) and linear stability theory (LST). The slip effect is modelled by slip boundary conditions within the Navier-Stokes (NS) framework, and an LST method considering wall perturbations for both no-slip and slip flows is established. The present numerical results indicate that the slip effect has a consistent impact on the stability of fast and slow modes as obtained from DNS and current LST. In addition, the DNS results show that the slip effect delays the conversion of mode F₁ to mode S led by their resonance, and enhances the resonant interactions between fast mode waves and fast acoustic waves.

KEYWORDS:

• Boundary-layer stability
• slip effects
• direct numerical simulation
• linear stability analysis
• resonant interactions

Acknowledgements

The authors are grateful to Prof. Xinliang Li from the University of Chinese Academy of Sciences, for the high-order finite-difference solver.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Additional information

Funding

This research was supported by the National Natural Science Foundation of China (NSFC grant numbers 12002306, 92271204, and U20B2007).