A new cavitation model based on bubble-bubble interactions
A new cavitation model based on bubble-bubble interactions
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DOI：
10.1063/1.5052257
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发表时间：
2018-12
影响因子：
4.6
通讯作者：
M. Adama Maiga;O. Coutier-Delgosha;D. Buisine
中科院分区：
文献类型：
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作者：
M. Adama Maiga;O. Coutier-Delgosha;D. Buisine
本文提出了一种新的基于气泡-气泡相互作用的空化模型。不同于著名的现有模型（Rayleigh-Plesset，Gilmore），这是来自一个单一的空化气泡附近的局部平衡方程，本方法是基于两个不同大小的球形气泡之间的相互作用。质量和动量守恒方程，再加上当地的流动发散，导致两个方程的气泡半径的演变和一个方程的本地压力。发现由该模型预测的气泡尺寸变化与Ohl报道的先前实验数据密切一致[“Cavitation inception following shock wave passage，”Phys. Fluids 14（10），3512-3521（2002）]。该模型正确地再现了相互靠近的气泡的不同半径，以及在空化初生的初始阶段小气泡的过早崩溃。结果表明，气泡/气泡相互作用在空化初生的物理过程中起着主要作用，空化初生是空化噪声和腐蚀的主要现象。这些相互作用的核的大小的影响进行了讨论。在膨胀阶段，局部流动发散的变化仅轻微影响大核的生长，这主要取决于它们与相邻气泡的相互作用，而它触发小核的膨胀。相反，在压缩阶段，气泡的行为不再受核的初始尺寸的影响。它还表明，大幅度的压力变化所造成的多次崩溃的小气泡，应考虑到，除了环境压力的演变，计算瞬时局部压力在液体中，并最终评估的流动侵略性和由此产生的侵蚀。本文提出了一种新的模型的基础上气泡相互作用的空化。不同于著名的现有模型（Rayleigh-Plesset，Gilmore），这是来自一个单一的空化气泡附近的局部平衡方程，本方法是基于两个不同大小的球形气泡之间的相互作用。质量和动量守恒方程，再加上当地的流动发散，导致两个方程的气泡半径的演变和一个方程的本地压力。发现由该模型预测的气泡尺寸变化与Ohl报道的先前实验数据密切一致[“Cavitation inception following shock wave passage，”Phys. Fluids 14（10），3512-3521（2002）]。该模型正确地再现了相互靠近的气泡的不同半径，以及在空化初生的初始阶段小气泡的过早崩溃。结果表明，气泡/气泡是一种很好的混合物。
In this paper, a new model based on bubble-bubble interactions is proposed for cavitation. Unlike the well-known existing models (Rayleigh-Plesset, Gilmore), which are derived from the local balance equations in the vicinity of a single cavitation bubble, the present approach is based on the mutual interaction between two spherical bubbles of different sizes. The mass and momentum conservation equations, coupled with the local flow divergence, lead to two equations for the evolution of the bubble radii and one equation for the local pressure. The bubble size variations predicted by the model are found in close agreement with the previous experimental data reported by Ohl [“Cavitation inception following shock wave passage,” Phys. Fluids 14(10), 3512–3521 (2002)]. The distinct radii of bubbles located close to each other, as well as the premature collapse of small bubbles during the initial stage of cavitation inception, are correctly reproduced by the model. The results generally show that bubble/bubble interactions play a primary role in the physics of cavitation inception, which is a preponderant phenomenon in cavitation-induced noise and erosion. The influence of the size of the nuclei on these interactions is discussed. During the expansion phases, the variations in the local flow divergence only slightly affect the growth of the big nuclei, which is mainly governed by their interaction with the neighboring bubbles, while it triggers the expansion of the small nuclei. Conversely, in the compression phase, the behavior of the bubbles is not influenced anymore by the initial size of the nuclei. It is also shown that large amplitude pressure variations resulting from the multiple collapses of small bubbles should be taken into account, in addition to the ambient pressure evolution, to calculate the instantaneous local pressure in the liquid and eventually evaluate the flow aggressiveness and the resulting erosion.In this paper, a new model based on bubble-bubble interactions is proposed for cavitation. Unlike the well-known existing models (Rayleigh-Plesset, Gilmore), which are derived from the local balance equations in the vicinity of a single cavitation bubble, the present approach is based on the mutual interaction between two spherical bubbles of different sizes. The mass and momentum conservation equations, coupled with the local flow divergence, lead to two equations for the evolution of the bubble radii and one equation for the local pressure. The bubble size variations predicted by the model are found in close agreement with the previous experimental data reported by Ohl [“Cavitation inception following shock wave passage,” Phys. Fluids 14(10), 3512–3521 (2002)]. The distinct radii of bubbles located close to each other, as well as the premature collapse of small bubbles during the initial stage of cavitation inception, are correctly reproduced by the model. The results generally show that bubble/bubble i...