Incompressible convection in a radiating atmosphere. I - General characteristics

Statistics – Computation

Scientific paper

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Incompressible Fluids, Radiative Transfer, Stellar Atmospheres, Absorptivity, Astrophysics, Boundary Value Problems, Boussinesq Approximation, Computational Fluid Dynamics, Convective Heat Transfer, Eddington Approximation, Fluid Pressure, Nusselt Number, Optical Thickness, Rayleigh Number, Stellar Models, Temperature Gradients

Scientific paper

The differences between convection in a conductive and a radiating fluid are investigated. The Boussinesq approximation is used and a grey medium is assumed; the transfer integrals are solved and the thin layer approximation is introduced and compared with the Eddington approximation. The reliability of the thin layer approximation for the study of convection is indicated for cases when a horizontal modal expansion is used. The most important differences with thermal convection are the importance of the boundary layers in the optically thin regions, and the existence of an upper limit for the ratio of the total flux to the radiative flux corresponding to radiative equilibrium

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