Effects of Convection and Rotation in the large scale Circulation of the Major Planets.

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

Modelling planetary atmospheric circulation involves understanding the effects of rotation and differential temperature gradients (radial and meridional) on a spherical shell filled with fluid. A big advance has been reached in three dimensional modelling (Chandrasekhar 1961, Busse et al., Ingersoll et al., Schubert et al.,...) including only radial heating. Wave-like thermal structures were observed in the internal jovian layers (Harrington et al. 97), that might correspond to the theoretical predictions. Three dimensional Navier Stokes equations are used to study the onset of convection in rotating systems with differential heating (north-south temperature gradients). The results of the linear stability analysis are presented for Jovian and Saturn-alike aspect ratios showing effects in low wavenumber instabilities. Analytical expressions for the thermal wind show superrotating zonal velocities. Application to the different planets, both inner and outer, is discussed.

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