Open AccessHeat diffusion in a channel under white noise modeling of turbulence
Author(s) -
Franco Flandoli,
Eliseo Luongo
Publication year - 2021
Publication title -
mathematics in engineering
Language(s) - English
Resource type - Journals
ISSN - 2640-3501
DOI - 10.3934/mine.2022034
Subject(s) - turbulence , heat equation , scalar (mathematics) , mechanics , diffusion , white noise , physics , eddy diffusion , turbulent diffusion , dissipation , thermodynamics , noise (video) , mathematics , computer science , geometry , quantum mechanics , statistics , artificial intelligence , image (mathematics)
A passive scalar equation for the heat diffusion and transport in an infinite channel is studied. The velocity field is white noise in time, modelling phenomenologically a turbulent fluid. Under the driving effect of a heat source, the phenomenon of eddy dissipation is investigated: the solution is close, in a weak sense, to the stationary deterministic solution of the heat equation with augmented diffusion coefficients.