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A slab model with a uniform plasma flow and magnetic field along the slab is carried out to study the resistive wall instability driven by longitudinal plasma flow.All solutions of complex frequency in the dispersion relation of this system are calculated numerically,and the results indicate that there are three eigen modes in this system.One of them is the normal stable plasma mode; another one is the resistive wall instability driven by plasma flow,which can be excited when the flow exceeds critical velocity,and can be stabilized when the flow increases sufficiently.At the same time,the last mode similar to the K-H mode will become unstable.