Physics
Scientific paper
Jun 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975rspsa.344..235k&link_type=abstract
Royal Society (London), Proceedings, Series A, vol. 344, no. 1637, June 24, 1975, p. 235-258.
Physics
33
Conducting Fluids, Dynamo Theory, Geomagnetism, Magnetic Induction, Three Dimensional Flow, Dynamic Models, Electrical Insulation, Field Theory (Physics), Kinematic Equations, Magnetic Effects, Magnetic Field Configurations
Scientific paper
Steady solutions are derived for the induction equation governing the magnetic field generated by a certain class of three-dimensional flows in a sphere of conducting fluid surrounded by an insulator. The motions are shown to have a high degree of symmetry which can be varied to confirm that the corresponding asymptotic Braginsky limit is attained. The effect of altering the spatial scale of the motions without varying their intensity is examined, and it is found that dynamo action will initially increase while regenerative efficiency may ultimately decrease. It is shown that time-varying motions, where the asymmetric components of flow travel as waves around latitudinal lines, can sustain fields having corotating asymmetric parts. The possible relevance of these solutions to the generation of the earth's magnetic field is considered, and the implied ohmic heat dissipation in the earth's core is estimated for different values of the core parameters.
Kumar Sanjeev
Roberts Paul H.
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