TY - JOUR
T1 - Mean-field theory of differential rotation in density stratified turbulent convection
AU - Rogachevskii, I.
AU - Kleeorin, N.
N1 - Funding Information:
This work was supported in part by the Research Council of Norway under the FRINATEK (grant no. 231444). The authors acknowledge the hospitality of NORDITA.
Publisher Copyright:
© Cambridge University Press 2018
PY - 2018/4/1
Y1 - 2018/4/1
N2 - A mean-field theory of differential rotation in a density stratified turbulent convection has been developed. This theory is based on the combined effects of the turbulent heat flux and anisotropy of turbulent convection on the Reynolds stress. A coupled system of dynamical budget equations consisting in the equations for the Reynolds stress, the entropy fluctuations and the turbulent heat flux has been solved. To close the system of these equations, the spectral τ approach, which is valid for large Reynolds and Péclet numbers, has been applied. The adopted model of the background turbulent convection takes into account an increase of the turbulence anisotropy and a decrease of the turbulent correlation time with the rotation rate. This theory yields the radial profile of the differential rotation which is in agreement with that for the solar differential rotation.
AB - A mean-field theory of differential rotation in a density stratified turbulent convection has been developed. This theory is based on the combined effects of the turbulent heat flux and anisotropy of turbulent convection on the Reynolds stress. A coupled system of dynamical budget equations consisting in the equations for the Reynolds stress, the entropy fluctuations and the turbulent heat flux has been solved. To close the system of these equations, the spectral τ approach, which is valid for large Reynolds and Péclet numbers, has been applied. The adopted model of the background turbulent convection takes into account an increase of the turbulence anisotropy and a decrease of the turbulent correlation time with the rotation rate. This theory yields the radial profile of the differential rotation which is in agreement with that for the solar differential rotation.
KW - Astrophysical plasmas
KW - Plasma nonlinear phenomena
UR - http://www.scopus.com/inward/record.url?scp=85069160479&partnerID=8YFLogxK
U2 - 10.1017/S0022377818000272
DO - 10.1017/S0022377818000272
M3 - Article
AN - SCOPUS:85069160479
SN - 0022-3778
VL - 84
JO - Journal of Plasma Physics
JF - Journal of Plasma Physics
IS - 2
M1 - 735840201
ER -