According to the theory of two-dimensional steady flow and basic assumption of steady detonation, deduced compatibility relationship of characteristic curve in universal equation of state. The movement of flyer plate was investigated with characteristic curve method in sliding detonation. The flying parameters of flyer plate were compared and analysed in detonation of TNT and emulsion explosive, which were in characteristic method of polytropic equation and universal equation of state. At different mass ratios, projectile curves of flyer plate under detonation of TNT and emulsion exlosive were investigated, and compared with the calculation results. Finally, in order to verify accuracy of the calculation results, two-dimensional Richter method was used to calculate the parameters of flyer palte. Results show that the throwing angle and vertical displacement with characteristic curve of universal equation of state are less than that of Richter formula, which are greatly consistent with the distinction of Richter formula, and the maximum difference is 9%.