Numerical Study of Compressible Wall-Bounded Turbulence – the Effect of Thermal Wall Conditions on the Turbulent Prandtl Number in the Low-Supersonic Regime

Lusher, David J.; Coleman, Gary N.

doi:10.1080/10618562.2023.2189247

Cited by 9 publications

(6 citation statements)

References 58 publications

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“…Here, δ v = μ w /(ρ w u τ ) and u τ = (|τ w |/ρ w ) 1/2 with μ w , ρ w and τ w being the viscosity, density and wall shear stress at the nearest wall, respectively. It is found that the current resolutions are comparable to those used by Yao & Hussain (2020), Lusher & Coleman (2022a) and Gerolymos & Vallet (2023). Figure 2 displays the ratio between the local wall-normal resolution y and the local Kolmogorov scale η k in the wall-normal direction for the cases TAd, T25 and T40, demonstrating the sufficiency of the present grid resolutions.…”

Section: Problem Description and Numerical Set-upmentioning

confidence: 55%

“…This illustrates that the three grids have a minimal effect on u τ and the inner-scaled flow statistics. Additionally, a direct comparison between our TAd case on Grid-A and the aiB case with Re = 6545, Ma = 1.56 and z + = 6.3 from Lusher & Coleman (2022a) shows excellent agreement. All the previous discussions have demonstrated that our baseline Grid-A is sufficiently accurate to provide reliable data for the current problem.…”

Section: Appendix Grid Refinement For the Tad Casementioning

confidence: 58%

“…Generally, C v ρT v dominates over qy except very close to the walls. Nevertheless, B q is smaller since it is defined as the total heat transferred out of the system, which is different from the global-mean heat flux ( q ± w = (| q y | y=−1 + | q y | y=1 )/2) defined by Lusher & Coleman (2022a), and there is heat transferred into the system through the top wall if T w,t > T A , as discussed in § 5.1.…”

Section: Wall Heat Flux Analysismentioning

confidence: 96%

“…The near-wall variations of Pr t collapse as a function of the semi-local wall scaling proposed by Huang et al (1995), showing only a weak dependence on the wall-friction Reynolds number. Huang et al (2023) further investigated the velocity and temperature scaling near isothermal and adiabatic walls using the data from Lusher & Coleman (2022a). Baranwal et al (2023) performed a series of DNS to study the near-wall asymptotic behaviour for the compressible I-A and I-PA cases.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Problem Description and Numerical Set-upmentioning

confidence: 55%

Section: Appendix Grid Refinement For the Tad Casementioning

confidence: 58%

Section: Wall Heat Flux Analysismentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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

Zhang,

Song,

Xia

2024

J. Fluid Mech.

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“…This transformation is denoted as θ + S hereafter. Figure 12(a)-(c) displays the results for θ + V D , θ + S L , and θ + S for the adiabatic sides of compressible turbulent channel flows under mixed thermal conditions [127], respectively. θ + S exhibits the best performance, with slopes closest to those of the incompressible case.…”

Section: 2mentioning

confidence: 99%

Progress in physical modeling of compressible wall-bounded turbulent flows

Cheng,

Chen,

Zhu

et al. 2024

Acta Mech. Sin.

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Understanding, modeling and control of the high-speed wall-bounded transition and turbulence not only receive wide academic interests but also are vitally important for high-speed vehicle design and energy saving because transition and turbulence can induce significant surface drag and heat transfer. The high-speed flows share some fundamental similarities with the incompressible counterparts according to Morkovin’s hypothesis, but there are also significant distinctions resulting from multi-physics coupling with thermodynamics, shocks, high-enthalpy effects, and so on. In this paper, the recent advancements on the physics and modeling of high-speed wall-bounded transitional and turbulent flows are reviewed; most parts are covered by turbulence studies. For integrity of the physical process, we first briefly review the high-speed flow transition, with the main focus on aerodynamic heating mechanisms and passive control strategies for transition delay. Afterward, we summarize recent encouraging findings on turbulent mean flow scaling laws for streamwise velocity and temperature, based on which a series of unique wall models are constructed to improve the simulation accuracy. As one of the foundations for turbulence modeling, the research survey on turbulent structures is also included, with particular focus on the scaling and modeling of energy-containing motions in the logarithmic region of boundary layers. Besides, we review a variety of linear models for predicting wall-bounded turbulence, which have achieved a great success over the last two decades, though turbulence is generally believed to be highly nonlinear. In the end, we conclude the review and outline future works.

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OpenSBLI v3.0: High-fidelity multi-block transonic aerofoil CFD simulations using domain specific languages on GPUs

Lusher,

Sansica,

Sandham

et al. 2025

Computer Physics Communications

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Numerical Study of Compressible Wall-Bounded Turbulence – the Effect of Thermal Wall Conditions on the Turbulent Prandtl Number in the Low-Supersonic Regime

Cited by 9 publications

References 58 publications

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

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

Progress in physical modeling of compressible wall-bounded turbulent flows

OpenSBLI v3.0: High-fidelity multi-block transonic aerofoil CFD simulations using domain specific languages on GPUs

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