An experimental technique is presented for studying two-dimensional (2D) ideal fluid vortices in the presence of externally imposed flows, using an electron plasma confined in a Penning-Malmberg trap. This procedure is made possible by an isomorphism between the Drift-Poisson equations governing electron plasma dynamics and the 2D Euler equations describing an ideal fluid. Here, the electron density is the analog of fluid vorticity, and the electric potential that of the fluid stream function. External flows are imposed in 2D using a segmented electrode spanning the length of the plasma. Details of the experimental procedure and data analysis are given, including the capabilities and limitations of the experimental approach.
REFERENCES
1.
C. F.
Driscoll
and K. S.
Fine
, Phys. Fluids B
2
, 6
(1990
).2.
D. G.
Dritschel
and B.
Legras
, Phys. Today
46
, 44
–51
(1993
).3.
J. R.
Danielson
, D. H. E.
Dubin
, R. G.
Greaves
, C. M.
Surko
, Rev. Mod. Phys.
87
247
–306
(2015
).4.
P. W.
Terry
, Rev. Mod. Phys.
72
109
–165
(2000
).5.
P.
Godon
and M.
Livio
, Astrophys. Journal
523
350
–356
(1999
).6.
D. W.
Moore
and P. G.
Saffman
, “Structure of a line vortex in an imposed strain,” in Aircraft wake turbulence and its detection
, edited by J. H.
Olsen
, A.
Golburg
, and M.
Rogers
(Plenum Press
, New York
, 1971
) pp. 339
–354
.7.
G. A.
Voth
, G.
Haller
, J. P.
Gollub
, Phys. Rev. Lett.
88
254501
(2002
).8.
P.
Tabeling
, Phys. Reports
362
1
–62
(2002
).9.
R. R.
Trieling
, M.
Beckers
, G. J. F.
Van Heijst
, J. Fluid Mech.
345
165
–201
(1997
).10.
K. S.
Fine
, A. C.
Cass
, W. G.
Flynn
, C. F.
Driscoll
, Phys. Rev. Lett.
75
3277
–3280
(1995
).11.
D.
Durkin
and J.
Fajans
, Phys. Fluids
12
289
–293
(2000
).12.
T. B.
Mitchell
and C. F.
Driscoll
, Phys. Fluids
8
1828
–1841
(1996
).13.
Y.
Kawai
, Y.
Kiwamoto
, Y.
Soga
, J.
Aoki
, Phys. Rev. E
75
066404
(2007
).14.
D. A.
Schecter
, D. H. E.
Dubin
, A. C.
Cass
, C. F.
Driscoll
, I. M.
Lansky
, T. M.
O’Neil
, Phys. Fluids
12
2397
–2412
(2000
).15.
R.
Chu
, J. S.
Wurtele
, J.
Notte
, A. J.
Peurrung
, and J.
Fajans
, Phys. Fluids B
, 5
7
2378
–2386
(1993
).16.
D. L.
Eggleston
, Phys. Plasmas
1
, 3850
–3856
(1994
).17.
N. C.
Hurst
, J. R.
Danielson
, D. H. E.
Dubin
, C. M.
Surko
, Phys. Rev. Lett.
117
235001
(2016
).18.
N. C.
Hurst
, J. R.
Danielson
, C. J.
Baker
, C. M.
Surko
, Phys. Rev. Lett.
113
025004
(2014
).19.
S.
Kida
, J. Phys. Soc. Japan
50
3517
–3520
(1981
).20.
J.
Fajans
, E. Yu.
Backhaus
, E.
Gilson
, Phys. Plasmas
7
3929
–3933
(2000
).21.
T.
Mohamed
, H.
Imao
, N.
Oshima
, A.
Mohri
, Y.
Yamazaki
, Phys. Plasmas
18
032507
(2011
).22.
T. M.
O’Neil
, Phys. Fluids
23
725
–731
(1980
).23.
J.
Weiss
, Physica D
48
273
–294
(1991
).24.
25.
J. M.
Kriesel
and C. F.
Driscoll
, Phys. Rev. Lett.
87
135003
(2001
).26.
T. M.
O’Neil
, Phys. Fluids
23
2216
–2218
(1980
).27.
J. M.
Kriesel
and C. F.
Driscoll
, Phys. Rev. Lett.
85
2510
–2513
(2000
).28.
N. C.
Hurst
, manuscript in preparation.
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