Physics
Scientific paper
Feb 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995georl..22..477b&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 22, no. 4, p. 477-480
Physics
23
Convective Heat Transfer, Free Convection, Rayleigh Number, Shear Properties, Spectral Methods, Tectonics, Temperature Dependence, Toroids, Viscosity, Correlation, Deformation, Earth Mantle, Geotemperature, Velocity Distribution
Scientific paper
We have applied spectral-transform methods to study three-dimensional thermal convection with temperature-dependent viscosity. The viscosity varies exponentially with the form exp(-BT), where B controls the viscosity contrast and T is temperature. Solutions for high Rayleigh numbers, up to an effective Ra of 6.25 x 106, have been obtained for an aspect-ratio of 5x5x1 and a viscosity contrast of 25. Solutions show the localization of toroidal velocity fields with increasing vigor of convection to a coherent network of shear-zones. Viscous dissipation increases with Rayleigh number and is particularly strong in regions of convergent flows and shear deformation. A time-varying depth-dependent mean-flow is generated because of the correlation between laterally varying viscosity and velocity gradients.
Balachandar S.
Reuteler D. M.
Yuen Dave A.
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