Other
Scientific paper
Sep 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phdt........58b&link_type=abstract
Ph.D. Thesis Columbia Univ., New York, NY.
Other
1
Free Convection, Magnetohydrodynamics, Rotating Generators, Dynamic Response, Heat Flux, Modal Response
Scientific paper
The nonlinear regime of thermal convection is investigated by the truncated modal expansion technique of Gough, Spiegel and Toomre. A treatment, using asymptotic and numerical methods, of rotating Benard convection is presented. The nonmonotonic dependence of the heat flux on the rotation rate, observed by Rossby, is modeled with only one mode in the horizontal. The time-dependent behavior of convection in the low Prandtl number fluid mercury is treated. Similar methods are applied to the study of a convectively-driven dynamo in a plane layer. Steady and oscillatory dynamos were found. Comparisons with other works are made, and implications for future work, such as solar dynamo models, are discussed.
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