Abstract
The dynamical behavior of vertical and horizontal movements of floating heat sources is studied experimentally and theoretically. The study of the properties of horizontally moving sources continues the recent work of Howard, Malkus and Whitehead; and the slightly reformulated theory indicates behavior in qualitative agreement with the earlier work. The dynamics of slightly deformable heat sources is explored and a class of source aggregates whose strength decreases with depth is found to dynamically deform to an asymmetric shape which continues to propel the source. The consequence of downwelling which entraps heat-producing surface material is also reported. One of the principal features is a local deep heating which leads to an upward restoring force. Systems are discussed in which this causes an oscillating behavior with period t ≈ (νρC p /(gαQw)) 1 2 which, if the Earth fulfills certain conditions, is of the order of a few hundred million years.
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