Physics – Fluid Dynamics
Scientific paper
Sep 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gapfd..33..277y&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 33, Sept. 1985, p. 277-293.
Physics
Fluid Dynamics
1
Atmospheric Stratification, Convective Heat Transfer, Gas Giant Planets, Planetary Atmospheres, Rotating Fluids, Eigenvalues, Prandtl Number, Rayleigh Number, Strata, Vertical Distribution
Scientific paper
As an extension of a model by Busse (1983), a two-layer model of thermal convection in the self-gravitating rotating spherical fluid is considered. The upper layer with arbitrary vertical distributions of density and potential temperature representing the atmospheric layer of major planets is imposed on the spherical Boussinesq fluid. The Prandtl number P and the ratio of the mass of the upper layer to that of the lower layer are used as small expansion parameters. The modifications of the critical Rayleigh number by imposing the upper layer are clearly separated into two parts, proportional to: (1) the mass of the upper layer and to (2) an integral representing a measure of convective instability of the upper layer. Some implications for atmospheric dynamics of the major planets are also presented.
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