Penetrative convection in a layer of fluid heated from within

Details Penetrative convection in a layer of fluid heated from within Penetrative convection in a layer of fluid heated from within

Oct 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...209..179s&link_type=abstract

Astrophysical Journal, vol. 209, Oct. 1, 1976, pt. 1, p. 179-189. Research supported by the Aerospace Corp.

Astronomy and Astrophysics

Astrophysics

3

Convective Heat Transfer, Stellar Evolution, Stellar Structure, Stratification, Boussinesq Approximation, Hydrodynamic Equations, Nusselt Number, Prandtl Number, Rayleigh Number, Steady State, Stellar Models, Temperature Gradients, Temperature Profiles

Scientific paper

Penetration of convective motion into regions of stable stratification is thought to be of some importance in stellar structure and evolution. Convection in a layer of fluid heated from within displays the essential features of penetrative convection. The properties of infinitesimal and finite-amplitude penetrative convection in a layer of Boussinesq fluid heated from within are investigated. The effects of an imposed stabilizing temperature gradient are also treated, and results of numerical calculations at Rayleigh numbers as large as 17 times the critical Rayleigh number are discussed. The convective motion is shown not to be confined to regions of unstable stratification, but to overshoot into stable regions. Strong circulation cells centered in the unstably stratified portion of the layer are accompanied by weaker countercells filling the remainder of the layer. In this way, slow mixing of the entire layer is effected. Comparisons of calculated temperature profiles and heat-transport rates with results of previous experimental investigations are given.

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