Mixing-Length, Shears, and Differential Rotation

Abstract

This paper discusses three related subjects whose conclusions can be summarized as follows, (i) Numerical experiments indicate that the mixing length is scaled by the pressure scale height, not by the density scale height. (ii) Numerical experiments indicate that the effective viscosity of convective turbulence on large scale shears can be roughly approximated by 1/3 the product of the root-mean-square (rms) vertical velocity with the pressure scale height (iii) The differential rotation of the solar convection zone may be considered as an unstable axisymmetric mode which produces slower rotation at the surface.