Statistical analysis of temperature distribution on vortex surfaces in hypersonic turbulent boundary layer

Li, Xin; Tong, Fu-Lin; Yu, Chang-Ping; Li, Xin-Liang

doi:10.1063/1.5115541

Cited by 22 publications

(4 citation statements)

References 36 publications

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“…(2010 b ), which has been used to study high-speed boundary layer transitions (Li, Fu & Ma 2010 a ) and turbulent flows (Li et al. 2019). The convective terms are discretized spatially using an optimized sixth-order monotonicity-preserving scheme (Li, Leng & He 2013) combined with the Steger–Warming splitting method.…”

Section: Simulation Methods and Computational Set-upmentioning

confidence: 99%

“…The conservative variables Q, convective flux vectors F c,j and viscous flux vectors F v,j in the DNS are described in more detail in Zhou et al (2022a), and Re is the Reynolds number. These simulations are carried out using the OpenCFD code developed by Li et al (2010b), which has been used to study high-speed boundary layer transitions (Li, Fu & Ma 2010a) and turbulent flows (Li et al 2019). The convective terms are discretized spatially using an optimized sixth-order monotonicity-preserving scheme (Li, Leng & He 2013) combined with the Steger-Warming splitting method.…”

Section: Direct Numerical Simulationsmentioning

confidence: 99%

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Interactions between oblique second mode and oblique waves in a high-speed boundary layer

Zhou,

Liu,

et al. 2023

J. Fluid Mech.

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Interactions between oblique second mode and oblique waves at a high-speed boundary at Mach 4.5 are studied using linear stability theory, nonlinear parabolized stability equations (NPSE) and direct numerical simulation (DNS). Parametric analysis based on the NPSE suggests that the oblique second mode can amplify both the oblique first and second modes, with the former experiencing a higher amplification. Our analysis reveals that the mean-flow distortion and difference mode contribute to this enhancement, with the latter exerting a key influence through the parametric resonance process. Kinetic energy transfer analysis demonstrates that the oblique waves gain energy from the mean flow, rather than from the oblique second mode. Furthermore, we find that the mechanism underlying the interaction between a pair of second oblique waves and a single oblique wave is similar to that between an oblique second mode and an oblique wave, as the steady modes generated by the pair of oblique second modes have a limited impact on the oblique wave. Finally, DNS confirms the validity of two transition paths proposed in this study based on the NPSE results. The first path suggests that a pair of low-amplitude second oblique waves alone are insufficient to cause oblique breakdown, but the introduction of a pair of low-amplitude damping first oblique modes could lead to boundary layer breakdown. The second path involves the formation of a domino-like effect through the combination of different types of oblique waves with the appropriate parameters. These two nonlinear paths can lead to a fully developed turbulent boundary layer.

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Section: Simulation Methods and Computational Set-upmentioning

confidence: 99%

Section: Direct Numerical Simulationsmentioning

confidence: 99%

Interactions between oblique second mode and oblique waves in a high-speed boundary layer

Zhou,

Liu,

et al. 2023

J. Fluid Mech.

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“…2014; Liang & Li 2015; Li et al. 2019 b ; Xu et al. 2021) and plane channel flows (Chen & Fei 2018; Yu et al.…”

Section: Problem Description and Numerical Set-upmentioning

confidence: 99%

“…In the OPENCFD-SC code, the inviscid and viscous terms are discretized using a seventh-order upwind scheme and an eighth-order central scheme, respectively, and time is advanced using an explicit third-order Runge-Kutta scheme. The OPENCFD-SC code has been widely employed and validated for compressible turbulent boundary layers (Zhang et al 2014;Liang & Li 2015;Li et al 2019b;Xu et al 2021) and plane channel flows (Chen & Fei 2018;Yu et al 2019;Zhang & Xia 2020). The flow is assumed to be periodic in the streamwise and spanwise Here Re τ = ρ w u τ h/μ w is the friction Reynolds numbers defined using the quantities at the nearest wall, while Re * τ = ρc (τ w / ρc ) 1/2 h/ μc is the friction Reynolds number based on the centreline density and viscosity and the friction at the wall; x and z are the grid spaces in the streamwise and spanwise directions; y min and y max denote the wall-normal grid spaces near the wall and at the channel centre.…”

Section: Problem Description and Numerical Set-upmentioning

confidence: 99%

Direct numerical simulations of compressible turbulent channel flows with asymmetric thermal walls

Zhang,

Song,

Xia

2024

J. Fluid Mech.

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This paper extends the work of Tamano & Morinishi (J. Fluid Mech., vol. 548, 2006, pp. 361–373) by simulating supersonic turbulent channel flow with asymmetric thermal walls using a larger computational domain and a finer mesh. Direct numerical simulation is carried out for four cases with different thermal wall boundaries at the top wall at fixed $Ma=1.5$ , $Re=6000$ and $Pr=0.72$ , while the bottom wall is maintained at a constant temperature of $T_L$ equal to the reference temperature. These cases are referred to as the adiabatic case TAd, where the top wall is adiabatic; the pseudo-adiabatic case T32, where the top wall is isothermal with temperature $T_{w,t}=T_A$ ; the sub-adiabatic case T25, with $T_{w,t}=0.77T_A$ ; and the super-adiabatic case T40, with $T_{w,t}=1.24T_A$ . Here, $T_A=3.234$ is the mean temperature at the adiabatic wall in the TAd case. The objective of this study is to compare and contrast the TAd case with its corresponding T32 case, and to investigate the effect of the wall temperature difference between the two isothermal walls. Comparisons of the basic turbulent statistics, the heat transfer between the Favre-averaged mean-flow kinetic energy, the Favre-averaged turbulent kinetic energy and the Favre-averaged mean internal energy, as well as the wall heat transfer properties, indicate that the TAd case and its corresponding T32 case are generally equivalent. The only discernible difference is in the region very close to the top wall for the temperature-fluctuation-related quantities. The analysis reveals that the asymmetry of the thermal walls causes asymmetry in the flow and thermal fields. In addition, the transfer of the heat generated by the pressure dilatation and the viscous stress is facilitated by the turbulent heat flux term and the mean molecular heat flux term.

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Decomposition of mean skin friction in incident shock wave/turbulent boundary layer interaction flows at Mach 2.25

Jian-nan

Tong

et al. 2023

Chinese Journal of Aeronautics

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Statistical analysis of temperature distribution on vortex surfaces in hypersonic turbulent boundary layer

Cited by 22 publications

References 36 publications

Interactions between oblique second mode and oblique waves in a high-speed boundary layer

Interactions between oblique second mode and oblique waves in a high-speed boundary layer

Direct numerical simulations of compressible turbulent channel flows with asymmetric thermal walls

Decomposition of mean skin friction in incident shock wave/turbulent boundary layer interaction flows at Mach 2.25

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