Predictive modeling of passive scalar transfer to a wall using stochastic one-dimensional turbulence

TL;DR

This paper uses a stochastic one-dimensional turbulence model to analyze passive scalar transfer to a wall in turbulent channel flows, focusing on the effects of Schmidt and Reynolds numbers on scalar transfer and boundary layer structure.

Contribution

It introduces a calibrated 1D turbulence model to predict scalar transfer and boundary layer behavior across different flow regimes, aligning with asymptotic theory.

Findings

Model accurately predicts boundary layer structure.

Captures scalar transfer scaling regimes.

Consistent with asymptotic one-dimensional theory.

Abstract

Passive scalars in turbulent channel flows are investigated as canonical problem for heat and mass transfer in turbulent boundary-layer flows. The one-dimensional turbulence model is used to numerically investigate the Schmidt and Reynolds number dependence of the scalar transfer to a wall due to fluctuating wall-normal transport. First, the model is calibrated for low-order velocity statistics. After that, we keep the model parameters fixed and investigate low-order passive scalar statistics for a relevant Schmidt and Reynolds number range. We show that the model consistently predicts the boundary layer structure and the scaling regimes, for which it is close to asymptotic one-dimensional theory.