= Surface density of a steady photoevaporating disk
{title2=$3\pi\nu\Sigma=\dot M_d-\dot M_w\sqrt{r_g/r}[1+\tfrac12\log(r/r_g)]$}
With constant <kinematic viscosity> and zero inner <viscous torque in an accretion disk>, $\nu\Sigma\sqrt r=(6\pi)^{-1}\int_0^rF_{\mathrm{acc}}(r')/\sqrt{r'}\,dr'$. For the <steady photoevaporating-disk mass flux>, the density is $(\dot M_d-\dot M_w)/(3\pi\nu)$ inside $r_g$ and the displayed logarithmic profile outside. At equal feeding and wind rates the inner density vanishes, and the outer normalized profile rises from zero with zero slope and tends to one. Its near-edge expansion is $(r/r_g-1)^2/8$.
Back to article page
