For a two-dimensional incompressible flow in the x-y plane show that the z component of...

For a two-dimensional incompressible flow in the x-y plane show that the z component of the vorticity, , varies in accordance with the equation

What is the physical interpretation of this equation for a nonviscous fluid? Hint: This vorticity transport equation can be derived

from the Navier–Stokes equations by differentiating and eliminating the pressure between Eqs. 6.120a and 6.120b.