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Two dimensional turbulence in inviscid fluids or guiding center plasmasAnalytic theory for two-dimensional turbulent equilibria for the inviscid Navier-Stokes equations is examined mathematically. Application of the technique to electrostatic guiding center plasma is discussed. A good fit is demonstrated for the approach to a predicted energy per Fourier mode obtained from a two-temperature canonical ensemble. Negative as well as positive temperature regimes are explored. Fluctuations about the mean energy per mode also compare well with theory. In the regime of alpha less than zero, beta greater than zero, with the minimum value of alpha plus beta times k squared near zero, contour plots of the stream function reveal macroscopic vortex structures similar to those seen previously in discrete vortex simulations. Eulerian direct interaction equations, which can be used to follow the approach to inviscid equilibrium, are derived.
Document ID
19750008696
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Seyler, C. E., Jr. (Iowa Univ. Iowa City, IA, United States)
Salu, Y. (Iowa Univ. Iowa City, IA, United States)
Montgomery, D. (Iowa Univ. Iowa City, IA, United States)
Knorr, G. (Iowa Univ. Iowa City, IA, United States)
Date Acquired
September 3, 2013
Publication Date
January 1, 1975
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
U-OF-IOWA-75-4
NASA-CR-142129
Accession Number
75N16768
Funding Number(s)
CONTRACT_GRANT: NGL-16-001-043
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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