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In this study, we investigate the impact of the magnetic field on theevolution of the transverse flow of QGP matter in the magneto-hydrodynamic(MHD) framework. We assume that the magnetic field is perpendicular to thereaction plane and then we solve the coupled Maxwell and conservation equationsin (1+1D) transverse flow, within the Bjorken scenario. We consider a QGP withinfinite electrical conductivity. First, the magnetic effects on the QGP mediumat mid-rapidity are investigated at leading order; then the time and spacedependence of the energy density, velocity and magnetic field in the transverseplane of the ideal magnetized hot plasma are obtained.

Non-relativistic approximate numerical ideal-magneto hydrodynamics of (1+1) D transverse flow in Bjorken scenario