Eddy heat exchange at the boundary under white noise turbulence.

Philos Trans A Math Phys Eng Sci

Key Laboratory of RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China.

Published: March 2022

AI Article Synopsis

  • The paper demonstrates that an eddy heat diffusion coefficient can be derived from a model of turbulent fluid, even when faced with boundary challenges.
  • Despite the eddy diffusion coefficient approaching zero at the boundary, significant turbulent mixing still results in enhanced diffusion.
  • This research is featured in a themed issue focused on understanding various aspects of turbulence.

Article 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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Source
http://dx.doi.org/10.1098/rsta.2021.0096DOI Listing

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