On a Physically Realistic Fast Dynamo |
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| Authors: | Kim Eun-Jin Hughes D W Soward A M |
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| Institution: | (1) Department of Applied Mathematics, University of Leeds, Leeds, UK.;(2) Department of Mathematics, University of Exeter, Exeter, UK. |
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| Abstract: | As a step towards a physically realistic model of a fast dynamo, we study numerically a kinematic dynamo driven by convection in a rapidly rotating cylindrical annulus. Convection maintains the quasi-geostrophic balance whilst developing more complicated time-dependence as the Rayleigh number is increased. We incorporate the effects of Ekman suction and investigate dynamo action resulting from a chaotic flow obtained in this manner. We examine the growth rate as a function of magnetic Prandtl number Pm, which is proportional to the magnetic Reynolds number. Even for the largest value of Pm considered, a clearly identifiable asymptotic behaviour is not established. Nevertheless the available evidence strongly suggests a fast dynamo process. |
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| Keywords: | fast dynamo rotating convection chaos MHD |
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