Heat diffusion in a channel under white noise modeling of turbulence

Autor:	Franco Flandoli, Eliseo Luongo
Rok vydání:	2021
Předmět:	Physics Turbulence Applied Mathematics White noise Mechanics Dissipation Eddy diffusion symbols.namesake Dirichlet boundary condition symbols Heat equation Vector field Diffusion (business) Mathematical Physics Analysis
Zdroj:	Mathematics in Engineering. 4:1-21
ISSN:	2640-3501
DOI:	10.3934/mine.2022034
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::148a921de3d490dea1df4c27646561c6 https://doi.org/10.3934/mine.2022034 Zobrazit plný text záznamu