A geometry bounded by two plane plates and with corona wires in the ce
nter plane is considered. At conditions with low gas velocity and high
electrical current (high electrohydrodynamic number) vortices form be
tween the wires and the plates. They are generated by the volume force
resulting from the electric field multiplied by the space charge dens
ity. The time evolution is compared between a numerical finite volume
Euler method and an integral approximation. For typical arrangements t
he time constant is of the order of 0.1s.