Momentum balance based model for predicting the scale of separation bubbles induced by incident shock wave/turbulent boundary layer interactions

Xie, Wen-zhong; Yang, Shu-Zi; Zhao, Qiu; Zhang, Qing; Guo, Shengmin

doi:10.1016/j.euromechflu.2022.04.012

Cited by 4 publications

(1 citation statement)

References 23 publications

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“…The recent numerical studies of single-ISWTBLIs by Xie et al. (2022) also showed that the wall friction is two orders of magnitude smaller than the pressure difference force and the momentum difference of the mainstream. Therefore, in the following analysis of momentum conservation in the direction, the influence of the wall friction on the momentum is neglected.…”

Section: Separation Length Scaling For Dual-iswtblismentioning

confidence: 95%

Separation length scaling for dual-incident shock wave–turbulent boundary layer interactions with different shock wave distances

Zhang

Tan

et al. 2023

J. Fluid Mech.

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In this study, the length scaling for the boundary layer separation induced by two incident shock waves is experimentally and analytically investigated. The experiments are performed in a Mach 2.73 flow. A double-wedge shock generator with two deflection angles ( $\alpha _1$ and $\alpha _2$ ) is employed to generate two incident shock waves. Two deflection angle combinations with an identical total deflection angle are adopted: ( $\alpha _1 = 7^\circ$ , $\alpha _2 = 5^\circ$ ) and ( $\alpha _1 = 5^\circ$ , $\alpha _2 = 7^\circ$ ). For each deflection angle combination, the flow features of the dual-incident shock wave–turbulent boundary layer interactions (dual-ISWTBLIs) under five shock wave distance conditions are examined via schlieren photography, wall-pressure measurements and surface oil-flow visualisation. The experimental results show that the separation point moves downstream with increasing shock wave distance ( $d$ ). For the dual-ISWTBLIs exhibiting a coupling separation state, the upstream interaction length ( $L_{int}$ ) of the separation region approximately linearly decreases with increasing $d$ , and the decrease rate of $L_{int}$ with $d$ increases with the second deflection angle under the condition of an identical total deflection angle. Based on control volume analysis of mass and momentum conservations, the relation between $L_{int}$ and $d$ is analytically determined to be approximately linear for the dual-ISWTBLIs with a coupling separation region, and the slope of the linear relation obtained analytically agrees well with that obtained experimentally. Furthermore, a prediction method for $L_{int}$ of the dual-ISWTBLIs with a coupling separation region is proposed, and the relative error of the predicted $L_{int}$ in comparison with the experimental result is $\sim$ 10 %.

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Section: Separation Length Scaling For Dual-iswtblismentioning

confidence: 95%

Separation length scaling for dual-incident shock wave–turbulent boundary layer interactions with different shock wave distances

Zhang

Tan

et al. 2023

J. Fluid Mech.

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Scaling analysis of incident shock wave / boundary layer interaction in the presence of expansion fan

Yang,

Xie,

Yuan

et al. 2024

International Journal of Heat and Fluid Flow

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Analytical model for predicting the length scale of shock/boundary layer interaction with curvature

et al. 2022

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In practical aerodynamic problems, curved shock/boundary layer interaction (CSBLI) is more frequently encountered than the canonical SBLI. Owing to the topological complexity of the flow field brought about by shock curvature, accurate prediction of the interaction length scale of CSBLI is a challenging task. In this work, streamwise and spanwise curvatures are introduced in turn with the aim of establishing an analytical model for the interaction length scale of CSBLI based on conservation of mass. The validity and universality of the model are verified, which reveal the impact of the shock curvatures on the interaction, acting as the form of non-uniformity. The proposed method can be regarded as providing a foundation for further research on CSBLI, opening new perspectives for the investigation of SBLI flow structures.

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Momentum balance based model for predicting the scale of separation bubbles induced by incident shock wave/turbulent boundary layer interactions

Cited by 4 publications

References 23 publications

Separation length scaling for dual-incident shock wave–turbulent boundary layer interactions with different shock wave distances

Separation length scaling for dual-incident shock wave–turbulent boundary layer interactions with different shock wave distances

Scaling analysis of incident shock wave / boundary layer interaction in the presence of expansion fan

Analytical model for predicting the length scale of shock/boundary layer interaction with curvature

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