Physics
Scientific paper
Oct 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980georl...7..841d&link_type=abstract
Geophysical Research Letters, vol. 7, Oct. 1980, p. 841-844. NASA-supported research.
Physics
5
Convection, Planetary Cores, Planetary Structure, Viscosity, Finite Difference Theory, Planetary Temperature, Stream Functions (Fluids), Two Dimensional Models, Vorticity
Scientific paper
The wavelength dependence of convection with a temperature-dependent viscosity is studied using two-dimensional finite difference models. A steady-state solution with a horizontal wavelength of eight times the depth is found to transport heat more efficiently than a solution with exactly the same parameters but with a wavelength of twice the depth. Only at the longer wavelengths is it possible for the top high viscosity boundary layer to participate more fully in the flow. Using models with a constant heat flux resulted in a decrease in the interior temperature of approximately 30% for the longer wavelength. It is also demonstrated that a parameterization using only a constant viscosity thermal structure and an interior viscosity is inadequate to parameterize the variable viscosity calculations described. This suggests that parameterized convection schemes may not accurately resolve the thermal evolution of planetary interior unless they can correctly include the effects of vertical viscosity structure.
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