Stochastic modeling of surface scalar-flux fluctuations in turbulent channel flow using one-dimensional turbulence

Marten Klein, Heiko Schmidt, David O. Lignell

correctmedium confidence

Category: math.DS
Journal tier: Strong Field
Processed: Sep 28, 2025, 12:56 AM
arXiv Links: Abstract ↗PDF ↗

Audit review

The paper explicitly reports (i) the diffusive limit Sh → γ = 2 as Sc → 0 with parametric Reτ-independence for Peτ ≪ 1, via Sh = γ Reτ Sc K+ with K+ = θτ/Δθ (eq. 13 and discussion), and (ii) at Sc = 0.025 a high-Pe scaling captured by the parameterization Sh ≃ 2 + 0.0147 Pe^0.84; and (iii) at high Re and Sc the behavior lying between the Colburn and Dittus–Boelter scalings, closer to DB, all supported by ODT results . The model’s solution derives an exact resistance identity and, under standard closures, reproduces the same three statements, so both are correct but use different approaches.

Referee report (LaTeX)

\textbf{Recommendation:} minor revisions

\textbf{Journal Tier:} strong field

\textbf{Justification:}

The manuscript employs ODT to span regimes in Sc, Re, and Pe and recover both classical limits and practical correlations with credible fidelity. The diffusive limit, the low-Sc high-Pe behavior, and the placement between Colburn and Dittus–Boelter (with a bias toward the latter) are clearly shown and contextualized. Minor clarifications regarding conventions (γ), mapping between Re and Reτ, and scope of applicability would enhance accessibility and reproducibility.