Physics
Scientific paper
Apr 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...407..284g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 407, no. 1, p. 284-315.
Physics
61
Method Of Moments, Mixing Length Flow Theory, Stellar Convection, Stellar Models, Stellar Physics, Hydrodynamics, Stellar Interiors
Scientific paper
A flexible and potentially powerful theory of convection, based on the mixing length picture, is developed to make unbiased self-consistent predictions about overshooting and other complicated phenomena in convection. The basic formalism is set up, and the method's power is demonstrated by showing that a simplified version of the theory reproduces all the standard results of local convection. The second-order equations of the theory are considered in the limit of a steady state and vanishing third moments, and it is shown that they reproduce all the standard results of local mixing-length convection. There is a particular value of the superadiabatic gradient, below which the only possible steady state of a fluid is nonconvecting. Above this critical value, a fluid is convectively unstable. Two distinct regimes of convection, which are identified as efficient and inefficient convection, are determined.
Arnett David
Grossman Scott A.
Narayan Ramesh
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