The Effect of Large Scale Magnetic Field on Outflow in ADAFs: an Odd Symmetry Configuration

We construct self-similar inflow-outflow solutions for a hot viscous-resistive accretion flow with large scale magnetic fields that have odd symmetry with respect to the equatorial plane in $B_\theta$, and even symmetry in $B_r$ and $B_\phi$. Following previous authors, we also assume that the polar velocity $v_\theta$ is nonzero. We focus on four parameters: $\beta_{r0}$, $\beta_{\phi0}$ (the plasma beta parameters for associated with magnetic field components at the equatorial plane), the magnetic resistivity $\eta_0$, and the density index $n=-d\ln\rho/d\ln r$. The resulting flow solutions are divided into two parts consisting of an inflow region with a negative radial velocity ($v_r<0$) and an outflow region with $v_r>0$. Our results show that stronger outflows emerge for smaller $\beta_{r0}$ ($\le10^{-2}$ for $n>1$) and larger values of $\beta_{\phi0}$, $\eta_0$ and $n$.