Flandoli F, Galeati L, Luo D. Eddy heat exchange at the boundary under white noise turbulence.
Philos Trans A Math Phys Eng Sci 2022;
380:20210096. [PMID:
35094552 DOI:
10.1098/rsta.2021.0096]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/16/2021] [Accepted: 05/31/2021] [Indexed: 06/14/2023]
Abstract
We prove the existence of an eddy heat diffusion coefficient coming from an idealized model of turbulent fluid. A difficulty lies in the presence of a boundary, with also turbulent mixing and the eddy diffusion coefficient going to zero at the boundary. Nevertheless, enhanced diffusion takes place. This article is part of the theme issue 'Scaling the turbulence edifice (part 2)'.
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