  In Part 1 of this work, we have derived a dynamical system describing the
approach to a finite-time singularity of the Navier-Stokes equations. We now
supplement this system with an equation describing the process of vortex
reconnection at the apex of a pyramid, neglecting core deformation during the
reconnection process. On this basis, we compute the maximum vorticity
$\omega_{max}$ as a function of vortex Reynolds number $R_\Gamma$ in the range
$2000\le R_\Gamma \le 3400$, and deduce a compatible behaviour
  $\omega_{max}\sim \omega_{0}\exp{\left[1 + 220
\left(\log\left[R_{\Gamma}/2000\right]\right)^{2}\right]}$ as
$R_\Gamma\rightarrow \infty$. This may be described as a physical (although not
strictly mathematical) singularity, for all $R_\Gamma \gtrsim 4000$.
