Other
Scientific paper
Jun 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mnras.183..617g&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 183, June 1978, p. 617-632. Research supported by the Science Research
Other
10
Atmospheric Models, Compressible Flow, Convection Currents, Convective Flow, Stellar Atmospheres, Entropy, Polytropic Processes, Stellar Models, Thermodynamic Equilibrium, Viscous Flow
Scientific paper
The equations describing the onset of convection in a general compressible atmosphere are derived in a form suitable for numerical solution. These equations are used to investigate two model atmospheres, one polytropic and the other stably stratified in part, in order to examine the influence of the form of the viscosity on convective motion and overshooting. The results obtained imply that: (1) the form of the viscosity has little effect on the convective motion, the degree of instability of the convecting layer, or the extent of overshooting; (2) there is no falling off of velocity with depth as density increases; (3) there is no sign of any tendency for motion on a scale other than that of the depth of the entire unstable region; and (4) convective overshooting is less than that predicted by arguments which balance the change in entropy across the unstable and overshooting regions. It is noted that the equations derived can be employed to analyze any hydrostatic atmosphere in thermal equilibrium for the onset of convective instability.
Graham Edward
Moore Daniel R.
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