Shear zone instability of a 2d periodic Euler flow

Renato Pakter and Yan Levin

Physica A: Statistical Mechanics and its Applications, 2021, vol. 561, issue C

Abstract: It has been known for over 150 years that a shear flow can become unstable due to microscopic perturbations. The instability manifests itself in waves on water surface, in clouds, in sun’s corona, and in the famous Jupiter’s Red Spot. The traditional approach to study the linear stability of a flow is through the analysis of Euler’s equations of fluid motion. In this paper we present an alternative approach which relies on the mapping of Euler’s equations on an infinite system of interacting vortices. Using this approach we are able to predict the limits of stability of a shear layer of finite width confined to a cylindrical surface. We also predict the wavelength of the most unstable mode and compare it with the results of molecular dynamics simulations.

Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437120306841
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:561:y:2021:i:c:s0378437120306841

DOI: 10.1016/j.physa.2020.125297

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().