Physics
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pepi...36..328b&link_type=abstract
(International Association of Seismology and Physics of the Earth's Interior, Symposium on Quantitative Geodynamics Lithospheric
Physics
6
Boundary Layer Flow, Convective Heat Transfer, Earth Mantle, Time Dependence, Viscous Flow, Aspect Ratio, Boundary Conditions, Boussinesq Approximation, Cartesian Coordinates, Mathematical Models, Nusselt Number, Prandtl Number, Rayleigh Number
Scientific paper
Models of finite-amplitude, time-dependent mantle convection at Reynolds number ten million are calculated. The models are based on the Boussinesq approximation for convection at infinite Prandtl number and treat convection in a two-dimensional, Cartesian coordinate box with an aspect ratio of 1.4. The initial conditions consist of a static fluid with a purely conductive temperature profile, while the boundary conditions are taken to be free slip, with impenetrable insulating side walls. The initial conditions are found to result in an initial burst of convection that reverses the horizontally averaged temperature gradient, making the middle layers stable with respect to convection. With bottom heating and cooling of the top, two distinct layers of convective cells occur; with top cooling only, the upper layer alone convects.
Angevine Charles L.
Boss Alan P.
Sacks Selwyn I.
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