Skip to content

Compressible Temperature Transformation Toward Law of the Wall in Turbulent Channel Flows

Aug 2026 · AIAA Journal · pp. 1-10 · 0 citations · 25 references

Abstract

For compressible wall-bounded turbulence, the logarithmic law for velocity profiles has been extensively investigated through various successful velocity transformations, yet a robust counterpart for the mean temperature remains absent. To bridge this gap, the present study introduces a novel temperature transformation tailored for compressible turbulent channel flows, based on the integrated momentum and energy balances. This approach explicitly incorporates the effects of the external driving force and its work on the fluid while employing the total-heat-flux-based temperature scale that aligns with the well-established Mach-number-invariant function in the velocity field. Extensive direct numerical simulation (DNS) validations (26 cases) involving a wide range of bulk Mach numbers (ranging from 0.7 to 4.0) and Reynolds numbers (ranging from 3000 to 34,000) demonstrate that the proposed transformation effectively maps the mean temperature profiles to the incompressible reference without case-specific tuning, exhibiting superior performance compared to existing temperature transformations.

View source

Similar papers

Open access Sep 2026

Turbulent flow in a square duct at extreme Reynolds number

Abstract Content of image described in text. We investigate pressure-driven turbulent flow in a square duct using wall-modelled large-eddy simulations (WMLES) of the Navier–Stokes equations. An equilibrium wall model based on the logarithmic law is employed, yielding results in close agreement with direct numerical sim...

F. Verolini, Mao-Chao Xiao, S. Pirozzoli · 0 citations
Preprint Sep 2026

Modelling friction and heat transfer in turbulent forced convection over porous lattices

We perform direct numerical simulations (DNS) to investigate how cubic-lattice porous substrates influence momentum and heat transfer in turbulent channel flows. The simulations span friction Reynolds numbers from 260 to 1500, Prandtl numbers of 0.5, 1, and 2, and substrate porosities of 50%, 71%, and 87%. We show that...

Aneek Chakraborty, S. Hickel, D. Modesti · 0 citations
Open access

Pseudo-boiling wall-bounded turbulence in supercritical flows: direct numerical simulation & flow physics

(English) This thesis presents the development and application of a high-fidelity computational framework for the direct numerical simulation (DNS) of high-pressure transcritical turbulent flows. These flows, characterized by strong thermophysical property variations in the vicinity of the pseudo-boiling region, exhibi...

Carlos Monteiro · 0 citations
Open access Aug 2026

Drag reduction and subcritical turbulence in controlled pipe flows

Abstract Content of image described in text. Pipe flow controlled by streamwise-travelling waves of azimuthal wall velocity is studied using direct numerical simulations at a bulk Reynolds number italic Re Subscript b Baseline equals 4900 Reb=4900 $\textit{Re}_b=4900$ . A comprehensive analysis of drag reduction shows...

E. Gallorini, D. Massaro, Philipp Schlatter et al. · 0 citations
Aug 2026

Quiescent core in turbulent channel flow with spanwise-uniform roughness

Abstract Content of image described in text. This study examines drag and outer-layer similarity in a rough-wall channel with spanwise-uniform bars at pitch-to-height ratios 6, 12 and 24, using direct numerical simulations at italic Re Subscript tau Baseline equals 395 Reτ=395 $ \textit{Re}_{\tau } = 395$ . The quiesc...

Jiahui Han, Wen Zhang, Xue Chen et al. · 0 citations
Preprint Sep 2026

Mach-number-dependent dissipative anomaly in isothermal compressible turbulence

Using a comprehensive set of three-dimensional, high-resolution direct numerical simulations, we investigate the existence of a dissipative anomaly in isothermal, homogeneous, isotropic compressible turbulence driven by solenoidal forcing. We find that the total kinetic-energy dissipation rate, as well as its solenoida...

Shadab Alam, Georgy Zinchenko, C. Federrath et al. · 0 citations

We use cookies to run the site and, with your consent, for analytics and to show ads. See our Cookie Policy.