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Title: Experimental study of the stability and dynamics of a two-dimensional ideal vortex under external strain

Abstract

The dynamics of two-dimensional (2-D) ideal fluid vortices is studied experimentally in the presence of an irrotational strain flow. Laboratory experiments are conducted using strongly magnetized pure electron plasmas, a technique which is made possible by the isomorphism between the drift–Poisson equations describing plasma dynamics transverse to the field and the 2-D Euler equations describing an ideal fluid. The electron plasma system provides an excellent opportunity to study the dynamics of a 2-D Euler fluid due to weak dissipation and weak 3-D effects, simple diagnosis and precise control. The plasma confinement apparatus used here was designed specifically to study vortex dynamics under the influence of external flow by applying boundary conditions in two dimensions. Additionally, vortex-in-cell simulations are carried out to complement the experimental results and to extend the parameter range of the studies. It is shown that the global dynamics of a quasi-flat vorticity profile is in good quantitative agreement with the theory of a piecewise-constant elliptical patch of vorticity, including the equilibria, dynamical orbits and stability properties. Deviations from the elliptical patch theory are observed for non-flat vorticity profiles; they include inviscid damping of the orbits and modified stability limits. The dependence of these phenomena on the flatnessmore » of the initial profile is discussed. The relationship of these results to other theoretical, numerical and experimental studies is also discussed.« less

Authors:
ORCiD logo; ; ;
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1538912
DOE Contract Number:  
SC0002451; SC0016532
Resource Type:
Journal Article
Journal Name:
Journal of Fluid Mechanics
Additional Journal Information:
Journal Volume: 848; Journal ID: ISSN 0022-1120
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
Mechanics; Physics

Citation Formats

Hurst, N. C., Danielson, J. R., Dubin, D. H. E., and Surko, C. M. Experimental study of the stability and dynamics of a two-dimensional ideal vortex under external strain. United States: N. p., 2018. Web. doi:10.1017/jfm.2018.311.
Hurst, N. C., Danielson, J. R., Dubin, D. H. E., & Surko, C. M. Experimental study of the stability and dynamics of a two-dimensional ideal vortex under external strain. United States. doi:10.1017/jfm.2018.311.
Hurst, N. C., Danielson, J. R., Dubin, D. H. E., and Surko, C. M. Fri . "Experimental study of the stability and dynamics of a two-dimensional ideal vortex under external strain". United States. doi:10.1017/jfm.2018.311.
@article{osti_1538912,
title = {Experimental study of the stability and dynamics of a two-dimensional ideal vortex under external strain},
author = {Hurst, N. C. and Danielson, J. R. and Dubin, D. H. E. and Surko, C. M.},
abstractNote = {The dynamics of two-dimensional (2-D) ideal fluid vortices is studied experimentally in the presence of an irrotational strain flow. Laboratory experiments are conducted using strongly magnetized pure electron plasmas, a technique which is made possible by the isomorphism between the drift–Poisson equations describing plasma dynamics transverse to the field and the 2-D Euler equations describing an ideal fluid. The electron plasma system provides an excellent opportunity to study the dynamics of a 2-D Euler fluid due to weak dissipation and weak 3-D effects, simple diagnosis and precise control. The plasma confinement apparatus used here was designed specifically to study vortex dynamics under the influence of external flow by applying boundary conditions in two dimensions. Additionally, vortex-in-cell simulations are carried out to complement the experimental results and to extend the parameter range of the studies. It is shown that the global dynamics of a quasi-flat vorticity profile is in good quantitative agreement with the theory of a piecewise-constant elliptical patch of vorticity, including the equilibria, dynamical orbits and stability properties. Deviations from the elliptical patch theory are observed for non-flat vorticity profiles; they include inviscid damping of the orbits and modified stability limits. The dependence of these phenomena on the flatness of the initial profile is discussed. The relationship of these results to other theoretical, numerical and experimental studies is also discussed.},
doi = {10.1017/jfm.2018.311},
journal = {Journal of Fluid Mechanics},
issn = {0022-1120},
number = ,
volume = 848,
place = {United States},
year = {2018},
month = {6}
}

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