in the highly conductive turbulent media with the mean flow velocity $\overline{\mathbf{U}}$ and the mean electromotive force, $\boldsymbol{\mathcal{E}}=\overline{\mathbf{u}\times\mathbf{b}}$ (hereafter MEMF), where $\mathbf{u}$ and $\mathbf{b}$ are fluctuations of the flow and magnetic field: $$\frac{\partial\overline{\mathbf{B}}}{\partial t}=\boldsymbol{\nabla}\times\left(\boldsymbol{\mathcal{E}}+\overline{\mathbf{U}}\times\overline{\mathbf{B}}\right)\text{.}\label{eq:dyn}$$ We employ a decomposition of the axisymmetric field into a sum of the azimuthal(toroidal) and poloidal (meridional plane) components: $$\overline{\mathbf{B}}=\mathbf{e}_{\phi}B+\nabla\times\frac{A\mathbf{e}_{\phi}}{r\sin\theta},$$ where $\mathbf{e}_{\phi}$ is the unit vector in the azimuthal direction, $\theta$ is the polar angle and $A\mathbf{e}_{\phi}$ is the vector-potential of the large-scale poloidal magnetic field. The mean electromotive force, $\boldsymbol{\mathcal{E}}$, is expressed as follows: $$\mathcal{E}_{i}=\left(\alpha_{ij}+\gamma_{ij}\right)\overline{B}_{j}-\eta_{ijk}\nabla_{j}\overline{B}_{k}.\label{eq:EMF-1}$$ The tensor, $\alpha_{ij}$, models the generation of the magnetic field by the $\alpha$- effect; the anti-symmetric tensor, $\gamma_{ij}$, controls pumping of the large-scale magnetic fields in turbulent media; the tensor, $\eta_{ijk}$, governs the turbulent diffusion and takes into account the generation of the magnetic fields by the $\Omega\times J$ effect [@rad69], as well. We take into account the effect of rotation and magnetic field on the mean-electromotive force. The technical details can be found in our previous papers [@pi08Gafd; @pipea2012AA; @pip13M; @2014ApJ_pipk]. The expressions for the tensor coefficients are given in Appendix.

For the B-type models we employ the following expression for the mean-electromotive force related with the non-local $\alpha$-effect 