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The stability equation of interface of moving two-phase jet and the corresponding equation of particle-gas disturbance velocity ration are derived by means of the continuum phase-coupling model. The stability curves of interface of moving two-phase jet for different particle properties and velocities of jetting device are given out through numerical computation. Further, sevral important conclusions on the effect of particle property and velocity of jetting device on the growth and propagation of disturbance of interface of moving two-phase jet are reched on the basis of analyses of the obtained stability curves. These important conclusions can play a guiding role in studying development of moving two-phase jet and executing artificial controls over it in practice.