针对旋转爆震盘式和空筒燃烧室可能存在的新鲜混气填充不均匀影响爆震波传播的问题,开展了新鲜混气填充不均匀对爆震波传播特性的影响研究。在二维径向膨胀通道内,固定虚拟内壁面半径rin为65 mm、径向高度hr为15 mm,改变填充不完全距离(i)、初始压力(p0)、稀释比(β)和残留燃烧产物温度(Tp)开展研究。考虑轴向膨胀与径向膨胀的耦合影响,在三维计算域内,改变新鲜混合物轴向填充高度(ha)开展研究。结果表明,对于二维通道内仅发生径向膨胀的爆震波,依据速度亏损程度和爆震波是否退化为缓燃波,将爆震波传播模态划分为稳定、弱不稳定、强不稳定和缓燃模态。随残留燃烧产物的温度增加,其相对于新鲜混合物的声阻抗比下降,燃烧产物区内的斜激波沿传播方向领先于爆震波。一方面,领先的斜激波后方压力升高,直接抑制了径向膨胀作用对爆震波造成的亏损;另一方面,当斜激波与爆震波波面满足马赫反射条件时,发生马赫反射,形成马赫干,构成稳定的波系结构,进一步促进了爆震波的稳定自持传播。基于填充不完全距离和平均胞格尺寸(λa)揭示了爆震波传播模态转变的临界条件:当i<hr-3.5λa时,为稳定模态;当hr-3.5λa<i<hr-2.5λa时,为弱不稳定模态;当hr-2.5λa<i<hr-1.6λa时,为强不稳定模态;当i>hr-1.6λa时,为缓燃模态。当爆震波同时发生径向膨胀和轴向膨胀时,定义了最大压力线性衰减系数κ0.7衡量爆震波在轴向对压力亏损的敏感度,随轴向填充高度的增加或径向位置越靠近外壁面,κ0.7呈下降趋势,表明压力亏损向爆震波内发展的阻力增加,爆震波抵御侧向膨胀的能力增强。
Numerical study was carried out to investigate the impact of the non-uniform filling of the fresh mixture on the detonation wave propagating in the disk-shape and hollow rotating detonation combustor. The propagation characteristics in the two-dimensional curved channel with lateral expansion on the inner side were analyzed by fixing the virtual inner wall radius (rin) at 65 mm and radial height (hr) at 15 mm while varying the incomplete filling distance (i), initial pressure (p0), dilution ratio (β) and temperature of combustion products (Tp).. Considering the coupled effects of axial and radial expansions, simula-tions were also conducted in the three-dimensional channel by varying the axial filling height of the fresh mixture (ha). In the two-dimensional channel where only the lateral expansion effect exists, four propagating modes were observed, i.e., a stable mode, a weakly unstable mode, a strongly unstable mode, and a deflagration mode based on the velocity deficit and whether the detonation wave degenerates into a deflagration wave. Critical criteria for mode transitions have been established in terms of the incomplete filling distance and the average cell size (λa), when i<hr-3.5λa, the stable mode is available; when hr-3.5λa<i<hr -2.5λa, the weakly unstable mode emerges; when hr -2.5λa<i<hr -1.6λa, the highly unstable mode can be obtained; and when i>hr -1.6λa, the detonation completely decouples and transits into the deflagration mode. The increase in the tem-perature of combustion products also leads to more stable detonation propagation. In the three-dimensional condition where the detonation wave undergoes the radial and axial expansion simultaneously, a linear decay coefficient of the maximum pressure (κ0.7) was defined to quantify the sensitivity of the detonation wave to pressure loss in the axial direction. As the axial filling height increases or the radial position approaches the outer wall, κ0.7 exhibits a decreasing trend, indicating an increased resistance to the inward development of pressure loss and an enhanced ability of the detonation wave to endure lateral expansion.