Effects of Wall Temperature on Hypersonic Impinging Shock-Wave/Turbulent-Boundary-Layer Interactions

Zuo, Feng-Yuan; Wei, Jia-Rui; Hu, Shuling; Pirozzoli, Sergio

doi:10.2514/1.j061708

Cited by 19 publications

(4 citation statements)

References 36 publications

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“…2021; Zuo et al. 2022). However, in recent research on ISWTBLIs with Reynolds number higher than , Touré & Schülein (2020) found that a step function is inadequate to describe the Reynolds number effect on the separation length, and they proposed a corrected normalised interaction strength by using a continuous function instead of the step function .…”

Section: Introductionmentioning

confidence: 99%

“…In subsequent studies of hypersonic SWTBLIs (Helm & Martín 2021; Hong, Li & Yang 2021; Zuo et al. 2022), the ratio of wall frictions under adiabatic and wall-heating conditions was utilised to correct the normalised interaction strength metric. The modified scaling results of these studies of hypersonic SWTBLIs showed that the Reynolds number effect remained, and the normalised interaction length increased with the Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

“…Jaunet et al (2014) experimentally examined the effect of wall heating on the separation length of ISWTBLIs in Mach 2.3 flows; by considering the effect of the heated wall on the friction coefficient, they proposed a modified normalised interaction strength metric based on the free interaction theory of Chapman, Kuehn & Larson (1957). In subsequent studies of hypersonic SWTBLIs (Helm & Martín 2021;Hong, Li & Yang 2021;Zuo et al 2022), the ratio of wall frictions under adiabatic and wall-heating conditions was utilised to correct the normalised interaction strength metric. The modified scaling results of these studies of hypersonic SWTBLIs showed that the Reynolds number effect remained, and the normalised interaction length increased with the Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

“…In the original length scaling method by Souverein et al (2013), the influence of the Reynolds number on the normalised interaction strength was considered by a step function k, which is 3.0 and 2.5 for small and large Reynolds number ranges with the changeover at Re θ ≈ 1.0 × 10 4 . A similar step function was also used in subsequent studies (Helm & Martín 2021;Hong et al 2021;Zuo et al 2022). However, in recent research on ISWTBLIs with Reynolds number Re δ higher than 1.0 × 10 5 , Touré & Schülein (2020) found that a step function is inadequate to describe the Reynolds number effect on the separation length, and they proposed a corrected normalised interaction strength c * p by using a continuous function instead of the step function k. In the modified scaling approach using normalised interaction length L * and modified normalised interaction strength c * p , the data for ISWTBLIs and CRSWTBLIs break up into two individual trends.…”

Section: Introductionmentioning

confidence: 99%

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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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