Investigating the Reynolds number dependency of the scalar transfer to a wall using a stochastic turbulence model

We numerically investigate the Reynolds number dependency of the transport of a passive scalar in incompressible, fully‐developed turbulent channel flows. The stochastic one‐dimensional turbulence (ODT) model is used to make such numerical simulation feasible up to the friction Reynolds number Re τ  =  u τ δ/ν ≈ 5200 (channel half‐height δ, friction velocity u τ , kinematic viscosity ν) in the Schmidt number range 1 ≤  Sc  = ν/Γ = 400 (mass diffusion coefficient Γ). The ODT simulations exhibit a turbulent boundary layer for which we show that the simulated mass transfer coefficient K + follows the functional dependency suggested by Schwertfirm and Manhart, Int. J. Heat Fluid Flow 28, 1204–1214 (2007). The agreement is good for Sc  ≤ 25 but a different scaling is obtained for Sc  ≥ 49 investigated.