  The Hartman effect for the tunneling particle implies the independence of
group delay time on the opaque barrier width, with superluminal velocities as a
consequence. This effect is further examined on a quantum ring geometry in the
presence of Aharonov-Bohm flux. We show that while tunneling through an opaque
barrier the group delay time for given incident energy becomes independent of
the barrier thickness as well as the magnitude of the flux. The Hartman effect
is thereby extended beyond one dimension and in the presence of Aharonov-Bohm
flux.
