摘要:
高速破片侵彻充液容器会引发液压水锤效应,并在液体内形成反复膨胀与收缩的空泡。容器约束显著影响空泡演化规律,但现有研究多采用有量纲参数描述,难以区分容器尺寸变化与约束条件变化各自的影响。针对这一问题,基于柱形空泡截面模型开展量纲分析,以容器初始内半径、流体密度和系统等效体积模量为重复变量,将破片动能输入、初始压差、容器弹性约束及壁面惯性效应归纳为一组无量纲参数。通过破片撞击三种尺寸充水容器的试验,提取了特定截面空泡的最大半径和对应的到达时刻,并分析了无量纲参数对空泡峰值特征的影响规律。结果表明:无量纲最大半径随无量纲动能输入近似线性增大,而初始压差比对其起抑制作用,物理机制在于初始压差相对于附加压力项的作用随其增大而增强。无量纲到达时刻的数据离散度显著高于最大半径,其原因是到达时刻不仅受动能输入和初始压差影响,还与空泡径向速度的衰减历程密切相关。与非受限参考结果的对比进一步表明,受限条件下到达时刻的缩短幅度大于最大半径的降低幅度,使得平均膨胀速率反而高于非受限情形。构建的无量纲参数组能够有效描述不同容器尺寸和约束条件下的空泡峰值特征,可为液压水锤效应分析与充液结构毁伤评估提供科学依据。
Abstract:
High-velocity fragment penetration into a liquid-filled container induces hydrodynamic ram (HRAM) and produces an elongated cavity that expands and contracts within the liquid. Container confinement strongly affects cavity evolution, whereas dimensional variables alone cannot clearly distinguish the effect of container size from that of the confinement condition. A dimensionless framework was therefore developed to characterize the peak features of confined cavities in containers of different sizes. A cylindrical-cavity cross-sectional model was adopted, and the fragment kinetic-energy loss per unit penetration length was used to represent the initial energy input. Liquid compression and elastic container expansion were treated as two volume springs connected in series, and a system equivalent bulk modulus was introduced to describe their combined resistance to cavity expansion. The initial inner radius of the container, liquid density, and system equivalent bulk modulus were selected as repeating variables. The fragment energy input, initial pressure difference, elastic volume partitioning, wall inertia, and initial geometric scale were then organized into a dimensionless parameter group. Fragment-impact experiments were conducted using three structurally similar water-filled containers of different sizes. Cavity contours were extracted from high-speed images, and a pixel-slice method was used to obtain the radius history, maximum radius, and time to maximum radius at selected valid cross-sections in the central region of each container. The square cross-sections were converted into equal-area circular cross-sections. The container equivalent bulk modulus was identified by matching the calculated and measured radius histories, and the system equivalent bulk modulus was then determined from the liquid and container moduli. The experimental confined-cavity results were also compared with reference values obtained from an unconfined cylindrical-cavity model. The results show that the dimensionless maximum radius increases approximately linearly with the dimensionless kinetic-energy input. A larger initial pressure-difference ratio produces a smaller dimensionless maximum radius under a comparable energy input because the relative contribution of the initial pressure difference to the total pressure difference increases. The sensitivity of the maximum radius to energy input, represented by the slopes of the grouped linear fits, decreases rapidly at first and then approaches a relatively stable level as the initial pressure-difference ratio increases. In contrast, the dimensionless time to maximum radius exhibits substantially greater dispersion and does not form a stable monotonic relation with energy input. Its variation depends not only on the maximum radius but also on the radial-velocity decay history, including the effects of pressure evolution, wall inertia, and geometric scale. Comparison with the unconfined reference shows that confinement reduces both the maximum radius and the time to maximum radius, but the relative reduction in time is greater. Consequently, the dimensionless average expansion rate is higher under confined conditions, and the difference becomes more pronounced as the container size decreases. The proposed dimensionless framework provides a consistent basis for comparing peak cavity characteristics under different container sizes and confinement conditions and supports similarity analysis of hydrodynamic ram and damage assessment of liquid-filled structures.