  Hydrodynamic flow can have complex and far-reaching consequences on the rate
of homogenous nucleation. We present a general formalism for calculating the
nucleation rates of simply sheared systems.
  We have derived an extension to the conventional Classical Nucleation Theory,
explicitly embodying the shear rate. Seeded Molecular Dynamics simulations form
the backbone of our approach.
  The framework can be used for moderate supercoolings, at which temperatures
brute-force methods are practically infeasible. The competing energetic and
kinetic effects of shear arise naturally from the equations.
  We show how the theory can be used to identify shear regimes of ice
nucleation behaviour for the mW water model, unifying disparate trends reported
in the literature. At each temperature, we define a crossover shear rate in the
limit of $1000-10,000 \ s^{-1}$, beyond which the nucleation rate increases
steadily upto a maximum, at the optimal shear rate.
  For $235$, $240$, $255$ and $260 \ K$, the optimal shear rates are in the
range of $\approx 10^6-10^7 \ s^{-1}$. For very high shear rates beyond $10^8 \
s^{-1}$, nucleation is strongly inhibited. Our results indicate that the
shear-dependent nucleation rate curves have a non-monotonic dependence on
temperature.
