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Investigating the Reynolds number dependency of the scalar transfer to a wall using a stochastic turbulence model
Author(s) -
Klein Marten,
Schmidt Heiko
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800238
Subject(s) - reynolds number , turbulence , mechanics , reynolds stress equation model , physics , reynolds decomposition , schmidt number , boundary layer , k epsilon turbulence model , scalar (mathematics) , open channel flow , statistical physics , mathematics , classical mechanics , k omega turbulence model , geometry , reynolds equation
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.