Consistency of the mixing length theory

Mathematics

Scientific paper

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19

Convective Heat Transfer, Mixing Length Flow Theory, Solar Granulation, Stellar Models, Differential Equations, Superposition (Mathematics), Turbulent Flow, Velocity Distribution, Viscosity

Scientific paper

It is found that the structure of the solar convection zone calculated according to the mixing length theory is consistent with the transport of convective flux by a linear superposition of statistically independent unstable convective modes, provided the effects of turbulent conductivity and viscosity are taken into account. The resultant vertical velocity agrees reasonably well with the observed granular velocity in the atmosphere. The horizontal velocity, however, turns out to be too large for low l modes.

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