Abstract Tip vortex cavitation (TVC) inception and desinence behaviour of a NACA 0012 cross section, elliptical hydrofoil is investigated from a statistical perspective in a cavitation tunnel. Measurements were made for incidences from $$4^\circ {}$$ 4 ∘ to $$16^\circ {}$$ 16 ∘ and Reynolds numbers from $$1.0\times 10^6$$ 1.0 × 10 6 to $$2.1\times 10^6$$ 2.1 × 10 6 . The statistics of TVC inception were quantified by taking repeated measurements of the time until the appearance of a tip vortex cavity for a range of fixed incidences. In other experiments, the angle of attack was continuously increased until inception and then decreased until desinence for a range of fixed cavitation numbers. The data were primarily acquired via an automated process using a laser and photodiode to detect the presence of a cavity. Measurements show that TVC inception in a nuclei deplete flow is a probabilistic process for which a large dataset is required for accurate characterisation. The probability of ingesting and activating a nucleus increases with time at a given test condition due to the increased volume of water exposed to low pressures. TVC desinence exhibits far less statistical variation than inception and is largely independent of the natural nuclei population. It does, however, exhibit hysteresis which is dependent on the topology of the cavitating flow. For the desinence of unattached cavitation, there is a small hysteresis between the inception and desinence indices. However, desinence is delayed for attached cavitation. Graphic abstract

中文翻译：

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核耗尽流中尖端涡流空化开始和去中心化的统计方面

摘要 从空化隧道中的统计角度研究了 NACA 0012 横截面椭圆水翼的尖端涡流空化 (TVC) 开始和方向行为。测量发生率从 $4^\circ {}$$ 4 ∘ 到 $16^\circ {}$$ 16 ∘ 和雷诺数从 $$1.0\times 10^6$$ 1.0 × 10 6 到 $$2.1\乘以 10^6$$ 2.1 × 10 6 。TVC 开始的统计数据通过重复测量直到出现一定范围的固定入射角的尖端涡流腔的时间来量化。在其他实验中，攻角不断增加，直到开始，然后降低，直到一系列固定的空化数。数据主要是通过使用激光和光电二极管检测空腔存在的自动化过程获得的。测量表明，核耗尽流中的 TVC 起始是一个概率过程，需要大量数据集才能准确表征。在给定的测试条件下，由于暴露在低压下的水量增加，摄入和激活细胞核的可能性会随着时间的推移而增加。TVC desinence 表现出的统计变异远小于初始值，并且在很大程度上独立于自然核群。然而，它确实表现出滞后现象，这取决于空化流的拓扑结构。对于独立空化的 desinence，inception 和 desinence 指数之间有一个小的滞后。然而，由于附着空化而延迟了方向性。图形摘要 在给定的测试条件下，由于暴露在低压下的水量增加，摄入和激活细胞核的可能性会随着时间的推移而增加。TVC desinence 表现出的统计变异远小于初始值，并且在很大程度上独立于自然核群。然而，它确实表现出滞后现象，这取决于空化流的拓扑结构。对于独立空化的desinence，inception 和desinence 指数之间有一个小的滞后。然而，由于附着空化而延迟了方向性。图形摘要 在给定的测试条件下，由于暴露在低压下的水量增加，摄入和激活细胞核的可能性会随着时间的推移而增加。TVC desinence 表现出的统计变异远小于初始值，并且在很大程度上独立于自然核群。然而，它确实表现出滞后现象，这取决于空化流的拓扑结构。对于独立空化的desinence，inception 和desinence 指数之间有一个小的滞后。然而，由于附着空化而延迟了方向性。图形摘要 TVC desinence 表现出的统计变异远小于初始值，并且在很大程度上独立于自然核群。然而，它确实表现出滞后现象，这取决于空化流的拓扑结构。对于独立空化的 desinence，inception 和 desinence 指数之间有一个小的滞后。然而，由于附着空化而延迟了方向性。图形摘要 TVC desinence 表现出的统计变异远小于初始值，并且在很大程度上独立于自然核群。然而，它确实表现出滞后现象，这取决于空化流的拓扑结构。对于独立空化的 desinence，inception 和 desinence 指数之间有一个小的滞后。然而，由于附着空化而延迟了方向性。图形摘要