8 April 2013 to 3 May 2013
Nordita
Europe/Stockholm timezone

New theory of differential rotation in anisotropic turbulent convection

25 Apr 2013, 11:00
1h
Nordita east (Nordita)

Nordita east

Nordita

Speaker

Nathan J. Kleeorin (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

Prof. Igor Rogachevskii (Ben-Gurion University of the Negev) Nathan J. Kleeorin (Ben-Gurion University of the Negev, Beer-Sheva)

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