Towards an independent calibration of the mixing-length theory

Details Towards an independent calibration of the mixing-length theory Towards an independent calibration of the mixing-length theory

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988esasp.286..463t&link_type=abstract

In ESA, Seismology of the Sun and Sun-Like Stars p 463-469 (SEE N89-25819 19-92)

Mathematics

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3

Calibrating, Mixing Length Flow Theory, Prandtl Number, Rayleigh Number, Stellar Models, Atmospheric Models, Parameter Identification, Stellar Atmospheres, Turbulent Mixing

Scientific paper

The standard astrophysical mixing-length theory of turbulent convection, and modifications, are calibrated with laboratory data over a range of Rayleigh numbers and Prandtl numbers. Local and nonlocal theories are considered, and the effects on the calibration of different degrees of small-scale turbulence, eddy decay-probability, and presumed nonlocalization (symmetrical and asymmetrical) are analyzed. It is found that while the local theory does adequately describe some of the features of laboratory convection (though it predicts a mixing-length parameter of at least 2.4), its qualitative agreement is poor. Nonlocal theories with this parameter around 1.8 to 2.0 give a much better agreement with experiment over the whole range of experimental Rayleigh and Prandtl numbers. Local and nonlocal mixing-length theories can be adjusted to give apparently accurate descriptions of turbulent laboratory convection for Rayleigh number 10,000 to 100 million, and Prandtl number 0.1 to 100. The nonlocal theory provides a more physically realistic description of the flow.

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