Analysis of real-fluid thermodynamic effects on turbulent statistics in transcritical channel flows

Li, Fangbo; Guo, Jack; Bai, Bofeng; Ihme, Matthias

doi:10.1103/physrevfluids.8.024605

Cited by 8 publications

(16 citation statements)

References 35 publications

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“…In particular, at supercritical pressures, the transitioning from the liquid-like phase to gas-like phase as the temperature increases, which is called 'transcritical conditions', can occur without the formation of the interface (Simeoni et al 2010;Bolmatov, Brazhkin & Trachenko 2013;Simeski & Ihme 2023). Thermodynamic and transport properties, including density, viscosity, specific heat capacity and thermal conductivity, vary significantly across the Widom line as the increasing temperature, thereby introducing significant real-fluid thermodynamic effects (Simeoni et al 2010;Bolmatov et al 2013;Ma, Yang & Ihme 2018;Guo, Yang & Ihme 2022;Li et al 2023). It has been confirmed that real-fluid thermodynamic effects which are induced by strong variations in thermal properties considerably change the large-scale structures of wall-bounded turbulence (Patel et al 2015;Ma et al 2018;Kawai 2019;Kim, Hickey & Scalo 2019;Guo et al 2022;Li et al 2023).…”

Section: Introductionmentioning

confidence: 92%

“…The database used for the present analysis was obtained from DNS of a straight turbulent channel of transcritical nitrogen (Ma et al 2018;Guo et al 2022;Li et al 2023). For the broader use of the transcritical DNS database by the turbulence and combustion community, we have made this database open-access on https://blastnet.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The Peng-Robinson (PR) equation of state (EoS) (Peng & Robinson 1976) and Chung's transport-property model (Chung et al 1988) are employed to describe the thermodynamics of the working fluid. These models have been used in past DNS studies on turbulence of transcritical fluids (Miller, Harstad & Bellan 2001;Ma et al 2018;Kim et al 2019;Toki, Teramoto & Okamoto 2020;Guo et al 2022;Li et al 2023). In Appendix A, we discuss the EoS and the transport-property model in more detail.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Thermodynamic and transport properties, including density, viscosity, specific heat capacity and thermal conductivity, vary significantly across the Widom line as the increasing temperature, thereby introducing significant real-fluid thermodynamic effects (Simeoni et al 2010;Bolmatov et al 2013;Ma, Yang & Ihme 2018;Guo, Yang & Ihme 2022;Li et al 2023). It has been confirmed that real-fluid thermodynamic effects which are induced by strong variations in thermal properties considerably change the large-scale structures of wall-bounded turbulence (Patel et al 2015;Ma et al 2018;Kawai 2019;Kim, Hickey & Scalo 2019;Guo et al 2022;Li et al 2023). Sciacovelli, Cinnella & Grasso (2017) carried out systematic DNS investigations to study small-scale structures of isotropic turbulence of high-pressure dense fluids which have similar physical properties to transcritical fluids, their analysis showed a weakening of compressive structures and an enhancement of expanding ones.…”

Section: Introductionmentioning

confidence: 99%

“…than perfect gas, suggesting the structures considered in their work are mainly related to the genuine compressibility and shocklet. Furthermore, the dissipation rate of transcritical flows, which is dominated by the dissipative range, behaves quite similarly to that of high-Ma compressible flows, with the fluctuating thermal properties contributing insignificantly to the dissipation rate (Li et al 2023). These raise some important questions to be addressed.…”

Section: Introductionmentioning

confidence: 99%

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Small-scale turbulent characteristics in transcritical wall-bounded flows

Li,

Zhang,

Bai

et al. 2024

J. Fluid Mech.

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Considerable efforts have been devoted to the understanding of the small-scale characteristics in turbulent flows. While the universality of small-scale quantities has been established for incompressible flows, their extension to high-pressure transcritical flows remains an open area of research. To address this question, we investigate the real-fluid thermodynamic effects on small-scale velocity statistics of high-pressure transcritical wall-bounded turbulence. We show that in the locally isotropic region for transcritical flows, low-order moments of small-scale statistics collapse for all cases and Kolmogorov's (1941) theory holds. However, real-fluid thermodynamic effects introduce deviations in the tails of the probability density function for the velocity derivative and, consequently, high-order moments of velocity gradients and dissipation rate in transcritical flows cannot collapse in the locally isotropic region. Analysis of the intermittency shows that the low-order structure functions in transcritical flows follow extended self-similarity, while the dependence of the intermittency factor on real-fluid effects is observed for high-order structure functions. The real-fluid effects on intermittency are explained by turbulent structures related to rare events. Additionally, the dissipation rate moments for transcritical flows follow a universal scaling with Reynolds number, and the scaling exponents are different from those of incompressible flows. These results extend the small-scale universality in incompressible flows (Schumacher et al., Proc. Natl Acad. Sci. USA, vol. 111, 2014, pp. 10961–10965) to realistic flows with significant changes in thermodynamic properties, and provide a physical underpinning of the scaling laws of small-scale statistics at transcritical conditions.

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