CHNS: A case study of turbulence in elastic media
Fluid Dynamics
2019-05-07 v1 Plasma Physics
Abstract
Recent progress in the study of Cahn-Hilliard Navier-Stokes (CHNS) turbulence is summarized. This is an example of \textit{elastic turbulence}, which can occur in elastic (i.e. self-restoring) media. Such media exhibit memory due freezing-in laws, as does MHD, which in turn constrains the dynamics. We report new results in the theory of CHNS turbulence in 2D, with special emphasis on the role of structure (i.e. `blob') formation and its interaction with the dual cascade. The evolution of a concentration gradient in response to a single eddy -- analogous to flux expulsion in MHD -- is analyzed. Lessons learned are discussed in the context of MHD and other elastic media.
Keywords
Cite
@article{arxiv.1904.12886,
title = {CHNS: A case study of turbulence in elastic media},
author = {Xiang Fan and P. H. Diamond and L. Chacón},
journal= {arXiv preprint arXiv:1904.12886},
year = {2019}
}