The oblique detonation wave (ODW) induced by a wedge in the supersonic pre-evaporated kerosene-air flow is investigated via the numerical simulation based on the Navier-Stokes equations with a two-step reaction model. The unsteady inflow feature is subject to a continuous sinusoid pressure disturbance. The influence of oscillating amplitudes and disturbance cycle numbers of the unsteady pressure on the stabilization of wedge-induced ODW is analyzed. Based on a smooth transition with a curved shock from the shock-induced deflagration to oblique detonation, the increasing fluctuating amplitude results in the unsteady dynamics for the ODW stabilization. It is found that both the formation wave structure and the transition pressure are changed due to the unsteady inflow, and a double-V wave structure appears. The interaction between the pressure disturbance and the stabilization wave structure leads to the oscillating ODW with convex and concave fronts. In particular, the low-pressure wave induces a larger wave angle with convex ODW and the concave one with unstable cellular wave structures is due to the high-pressure disturbance. The decrease of the disturbance cycle number results in a gradual evolution process of ODW stabilization, and the increase leads to the complex interactions of transverse waves, during which local quenching could occur. In general, the present results indicate that the stabilization wave structure of ODW is expected to re-adjust itself with local unstable features during a dynamic process and tends to be resilient to the inflow pressure disturbances.

通过基于两步反应模型的Navier-Stokes方程的数值模拟，研究了楔形在超声速预蒸发煤油-空气流中引起的倾斜爆轰波（ODW）。不稳定的流入特征会受到持续的正弦压力扰动。分析了非稳态压力的振荡幅度和扰动周期数对楔形诱导ODW稳定的影响。基于从激振引起的爆燃到倾斜爆震的弯曲冲击的平稳过渡，波动幅度的增加导致了ODW稳定的不稳定动态。发现由于不稳定的流入，地层波结构和转变压力都改变了，并且出现了双V波结构。压力扰动和稳定波结构之间的相互作用导致了具有凸起和凹陷前缘的振荡ODW。特别是，低压波在凸ODW的作用下会产生较大的波角，而凹形波具有不稳定的细胞波结构是由于高压扰动引起的。扰动循环数的减少导致ODW稳定的逐步演化过程，而增加导致横波的复杂相互作用，在此期间可能发生局部淬灭。总的来说，目前的结果表明，在动态过程中，ODW的稳定波结构有望以局部不稳定特征重新调整自身，并趋向于对流入压力扰动具有弹性。