For a two-dimensional axisymmetric (circular) flow with azimuthal velocity V(r), the vertical (z) component of vorticity is given by the standard cylindrical-coordinate formula zeta_z = (1/r) d(rV)/dr = dV/dr + V/r.
Given u = [V(r)/(x^2+y^2)^(1/2)]*(-y, x, 0), this represents purely azimuthal (circular) flow with speed V(r) at radius r. The z-component of vorticity for such axisymmetric...
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