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Dynamo Action of Isotropically Driven Motions of a Rotating Fluid
Author(s) -
Gubbins David
Publication year - 1974
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1974532157
Subject(s) - dynamo , isotropy , compressibility , turbulence , physics , dynamo theory , action (physics) , classical mechanics , fourier transform , magnetic field , mechanics , magnetohydrodynamics , fourier analysis , optics , quantum mechanics
Fluid motions are driven by a random isotropic body force in a rotating system. The fluid is incompressible and infinite in extent. The dynamo action of the resulting fluid motions is investigated by Fourier decomposition. The global effects of the turbulent motions are expressed in terms of gradients of the local mean magnetic field, Bo . Two aspects of the problem are novel. The spectral approach is used to solve for the turbulent quantities while gradients of Bo are retained, and secondly a non‐zero mean emf. is obtained from an entirely isotropic forcing.