Radial vorticity conservation in a shearing sheet (source code)

= Radial vorticity conservation in a shearing sheet
{title2=$\partial_t\omega_x+\partial_iT_{ix}=0$}

When the only nonpotential force points radially, its <curl> has no radial component. The radial <absolute vorticity> therefore obeys a local flux <conservation law>, although <vortex stretching> can change it along a fluid trajectory.