Speaker
Igor Rogachevskii
(Ben-Gurion University of the Negev, Beer-Sheva)
Description
We discuss a new theory of differential rotation in anisotropic
density stratified
inhomogeneous turbulent convection. A key point of this theory is
an effect of the
turbulent heat flux on the Reynolds stresses in a rotating
turbulent convection. We
solved a coupled system of dynamical equations which includes
the equations for the
Reynolds stresses, the entropy fluctuations and the turbulent
heat flux. We used a
spectral tau approximation in order to close the system of
dynamical equations. The
model of the background turbulent convection takes into account
an increase of the
anisotropy of turbulence with increase of the rate of rotation. We
also took into
account the effect of rotation on the turbulent correlation time.
We found that the
ratio of the contributions to the Reynolds stresses caused by the
turbulent heat flux
and the anisotropic eddy viscosity is much larger than the ratio
the density hight
scale to the maximum scale of turbulent motions. We
demonstrated that the effect of
the turbulent heat flux on the Reynolds stresses is crucial for the
formation of the
differential rotation and should be taken into account in the
theories of the
differential rotation of the Sun, stars and planets. We found that
this effect causes
the differential rotation which is comparable with the typical solar
differential
rotation.
Primary authors
Igor Rogachevskii
(Ben-Gurion University of the Negev, Beer-Sheva)
Nathan J. Kleeorin
(Ben-Gurion University of the Negev, Beer-Sheva)