Physics – Fluid Dynamics
Scientific paper
Dec 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gapfd..27..229k&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 27, no. 3-4, 1983, p. 229-252.
Physics
Fluid Dynamics
6
Convective Flow, Flow Stability, Gravity Waves, Solar Granulation, Stratified Flow, Boundary Value Problems, Conducting Fluids, Free Boundaries, Interface Stability, Mathematical Models, Rayleigh Number, Stellar Atmospheres, Viscous Flow
Scientific paper
Penetrative convection is studied for idealized two-layer models composed of convectively unstable and stable layers with constant viscosity and conductivity in each layer, but different from that in the other layer. The critical Rayleigh number of the unstable layer depends on the adjacent stable layer penetrated by the flow. The value is greatly reduced from the usual value of the order of 1000 for rigid and free boundaries of fixed temperatures, if the viscosity of the stable layer is very small. The critical mode is an overstable mode having infinite horizontal wavelength. The solar supergranulation is suggested to be similar in nature to such a horizontally large convective cell.
Kondo Masa-Aki
Unno Wasaburo
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