The effect of temperature boundary conditions and density stratification on the onset of convection in planetary atmospheres and stellar envelopes

Computer Science

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Atmospheric Stratification, Boundary Conditions, Convective Heat Transfer, Planetary Atmospheres, Stellar Envelopes, Boundary Value Problems, Compressible Fluids, Density Distribution, Temperature Dependence, Thermal Conductivity

Scientific paper

The paper is concerned with the effect of density stratification and temperature boundary conditions, which result from a parameterization of small-scale turbulent convection in spherical layers of a compressible gas, on the onset of large-scale convection. It is shown that an increase in density stratification in the case where temperature is prescribed at layer boundaries usually leads to layer stabilization and a decrease in the horizontal dimension of convective cells. The vertical dimension of convective motions is always equal to the height of the gas layer. A consideration of the final heat conductivity of the masses surrounding the convective layer leads to a relaxation of the boundary conditions, which, in turn, results in layer destabilization and an increase in the scale of convective motions.

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