Abstract Numerical simulation of tip vortex cavitation (TVC) remains a challenging task in a variety of applications, such as axial turbines and pumps as well as marine propellers. Although it is well known that TVC is highly sensitive to gas content, be it dissolved or not, numerical models do not consider this aspect so far. As a result, numerical simulations usually underestimate the development or the intensity of TVC. In the present paper, we propose an new Euler-Lagrangian cavitation model based on Rayleigh-Plesset (R-P) equation, taking into account the non-condensable gas. In this model, the Euler method is used to solve the global flow field and the Lagrangian method is used to track the migration of non-condensable gas bubbles into the vortex core. Based on the simplified R-P equation, the connection between local gas concentration and its effect on cavitation is modeled and the mass source terms in the original Schnerr-Sauer (S-S) cavitation model are modified. We applied the new cavitation model to a simplified case study, made of an elliptical NACA-16020 hydrofoil and compared the results with experimental observation. We obtained a significant improvement of the TVC prediction. Our work illustrates the major role of the gas content in sustaining cavitation downstream of the hydrofoil through an efficient attraction of nuclei, fueled by the low pressure induced by the vortex flow.

中文翻译：

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一种新的欧拉-拉格朗日空化模型，用于具有不可凝气体影响的尖端涡流空化

摘要 叶尖涡流空化 (TVC) 的数值模拟在各种应用中仍然是一项具有挑战性的任务，例如轴流式涡轮机和泵以及船用螺旋桨。尽管众所周知 TVC 对气体含量高度敏感，无论是溶解与否，数值模型目前还没有考虑这方面。因此，数值模拟通常会低估 TVC 的发展或强度。在本文中，我们基于瑞利-普莱塞 (RP) 方程提出了一种新的欧拉-拉格朗日空化模型，同时考虑了不可凝气体。在该模型中，欧拉法用于求解全局流场，拉格朗日法用于跟踪不可凝气泡向涡核的迁移。基于简化的 RP 方程，模拟了局部气体浓度与其对空化的影响之间的联系，并修改了原始 Schnerr-Sauer (SS) 空化模型中的质量源项。我们将新的空化模型应用于由椭圆形 NACA-16020 水翼制成的简化案例研究，并将结果与​​实验观察进行了比较。我们获得了 TVC 预测的显着改进。我们的工作说明了气体含量在维持水翼下游空化中的主要作用，通过有效的原子核吸引，由涡流引起的低压提供燃料。由椭圆形 NACA-16020 水翼制成，并将结果与​​实验观察进行比较。我们获得了 TVC 预测的显着改进。我们的工作说明了气体含量在维持水翼下游空化中的主要作用，通过有效的原子核吸引，由涡流引起的低压提供燃料。由椭圆形 NACA-16020 水翼制成，并将结果与​​实验观察进行比较。我们获得了 TVC 预测的显着改进。我们的工作说明了气体含量在通过有效吸引原子核来维持水翼下游空化中的主要作用，由涡流引起的低压提供燃料。