  In this paper, we study the effects of an in-homogeneous magnetic field on
the quark gluon plasma dynamics, within the Magneto-Hydrodynamic framework. We
have investigated the effect of an inhomogeneous external magnetic field on the
transverse expansion of in-viscid fluid created in high energy nuclear
collisions. Transverse velocity and energy density are modified by the presence
of the magnetic field. This effects can also influence the transverse momentum
spectrum for particles at the freeze-out surface. In this context we obtained
an interesting comparison with data extracted from heavy-ion collisions.
