Thermal convection and magnetic field generation in rotating spherical shells

Details Thermal convection and magnetic field generation in rotating spherical shells Thermal convection and magnetic field generation in rotating spherical shells

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phdt........58c&link_type=abstract

Ph.D. Thesis California Univ., Los Angeles.

Mathematics

2

Free Convection, Magnetic Fields, Rotating Bodies, Spherical Shells, Magnetohydrodynamics, Mathematical Models, Planetary Magnetic Fields, Velocity Distribution

Scientific paper

The generation of planetary magnetic fields is discussed. The nonlinear magnetohydrodynamic problem of thermal convection driven dynamo is formulated and solved numerically. The analysis proceeds in three steps: (1) the problem of nonmagnetic finite amplitude convection is solved; (2) the velocity field is used to solve the induction equation for the magnetic field with vanishing growth rate; and (3) the resulting magnetic field is used as the starting point of an iterative approach to the solution of the full magnetohydrodynamic problem.

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