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摘要:涡空化作为一种在推进器叶顶涡心处产生的空化现象, 在推进器原型上往往最早出现, 其一旦发生将会严重影响舰艇的声隐身性能(噪声增加10 dB以上), 在很大程度上限制了舰艇临界航速的进一步提升, 因而长期以来一直是空化水动力学领域研究的重点与难点课题之一. 本文首先简要介绍了旋涡空化流动相较于其他形式空化流动的特点, 并以梢涡空化为主要对象, 系统阐述了旋涡空化初生、发展的演变行为与流动机理研究, 从空化三要素的角度深入讨论了其影响因素与作用机制. 在此基础上, 本文分别对旋涡空化流动中尺度效应、流动控制等关键问题的相关研究进展进行了回顾, 较为系统地梳理了旋涡空化尺度效应的内在原因以及旋涡空化流动控制方法与控制思路. 最后, 本文针对目前旋涡空化研究领域关注的重点与难点问题, 对旋涡空化流动研究中采用的实验测量及数值模拟技术进行了总结与展望.Abstract:Vortex cavitation, a cavitation phenomenon that occurs at the vortex center on propeller blades, often appears first on propeller prototypes. Once it occurs, it will seriously affect the acoustic stealth performance of naval vessels (the noise can increase by more than 10 dB), which limits the further increase in the critical speed of naval vessels to a great extent. Therefore, it has long been one of the key and challenging topics in the field of cavitation hydrodynamics. In this paper, the characteristics of vortex cavitating flow compared with other forms of cavitating flow are briefly introduced first, with tip vortex cavitation as the main research object. The evolution behaviors and flow mechanisms of vortex cavitation inception and development are then expounded. At the same time, the influential factors of vortex cavitation inception and development and their mechanisms are discussed in depth from the perspective of cavitation elements. In addition, the relevant research progress on several key issues, including scale effect and flow control in vortex cavitating flow, is reviewed. The internal causes of vortex cavitation scale effect and the controlling methods and ideas for vortex cavitating flow are systematically sorted. Finally, aimed at the key and tricky problems in the current research field of vortex cavitation, the experimental measurement and numerical simulation technologies used in the future research on vortex cavitating flow are summarized and outlooked.
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Key words:
- Cavitation/
- Vortex cavitation/
- Vortex model/
- Scale effect/
- Flow control
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图 1典型的绕舰船推进器及水翼旋涡空化流动. (a) 螺旋桨梢涡空化(Bosschers 2018b), (b) 椭圆翼梢涡空化(Dreyer 2015)
图 3不同涡模型预报的切向速度分布与实验结果(Dreyer 2015)对比
图 4涡丝卷吸理论及基于水翼升力的旋涡环量预报结果. (a) 涡丝卷吸理论Franc和Michel (2005), (b) 基于水翼升力的旋涡环量预报结果对比(Xu et al. 2023)
图 5旋涡半径关系式预测得到的旋涡半径变化与实验、模拟值的对比(季斌等 2022)
图 6理想涡流场中游离气核的分布和运动(Chen et al. 2019). (a) 不同初始尺寸气核的初始分布, (b) 不同初始尺寸气核的运动轨迹和生长
图 7旋涡涡心处的轴向速度分布(Dreyer 2015)
图 8不同条件下旋涡空化的发展形态(Amini et al. 2019a). (a) 不同空化数下旋涡空化形态, (b) 不同雷诺数下旋涡空化形态, (c) 不同攻角下旋涡空化形态, (d) 不同含气率下旋涡空化形态
图 9不同空化涡模型切向速度分布与实验值(Dreyer 2015)的对比
图 10Amini等(2019a)建立的旋涡空化溶解气体扩散模型
图 11溶解气体扩散诱发的梢涡空化失稳现象(Nanda et al. 2022)
图 12绕椭圆翼的梢涡空化及其尺度效应 (Keller 2001)
图 13几种典型的梢涡空化抑制方法. (a) 涡心注质法(Chang et al. 2011), (b) 叶梢卸载法(辛公正 2014), (c) 异性叶梢法(Amini et al. 2019b), (d) 表面加粗法(Asnaghi et al. 2020), (e) 细绳干扰法(Lee et al. 2017b)
表 1各类针对旋涡空化修正的空化数对比
代表性的空化数 优点 缺点 第一类 $ {\sigma _{\text{0}}}{\text{ = }}\dfrac{{{p_\infty } - {p_v}}}{{0.5{\rho _l}U_\infty ^2}} $ 在片空化、云空化流动中应用十分广泛,
得到了广泛的检验与认可无法反映旋涡旋转运动引起的压降
以及气核的影响第二类 $ {\sigma _i} = {\text{ }}{k_{{\mathrm{s}}1}}{\left( {\dfrac{\varGamma }{{{r_{\mathrm{c}}}{U_\infty }}}} \right)^2} $ 反映了旋涡旋转运动引起的压降 没有反映水体中气核的影响 第三类 $ {\sigma _i} = - {C_{{p_{\mathrm{s}}}}} + \dfrac{{{p_{\mathrm{g}}}}}{{1/2\rho U_\infty ^2}} $ 同时反映了旋涡旋转运动引起的压降
以及气核的影响需要额外给出气核要素的定量评估方法 表 2原始Zwart模型与几个典型的旋涡空化修正模型对比
序号 模型名称 相间质量输运速率 与原模型的主要区别 1 原始Zwart模型 $ \left. \begin{gathered} {{\dot m}^ + } = {C_{{\text{p0}}}}\frac{{3\left( {1 - {\alpha _{{v}}}} \right){\alpha _{{\text{nuc}}}}{\rho _{{v}}}}}{R}\sqrt {\frac{2}{3}\frac{{\left( {{p_v} - p} \right)}}{{{\rho _{\text{l}}}}}} ,p < {p_{{v}}} \\ {{\dot m}^ - } = {C_{{\text{d0}}}}\frac{{3{\alpha _{{v}}}{\rho _{{v}}}}}{R}\sqrt {\frac{2}{3}\frac{{\left( {p - {p_{{v}}}} \right)}}{{{\rho _{\text{l}}}}}} ,p > {p_{{v}}} \\ \end{gathered} \right\} $ / 2 考虑旋涡环量的修正模型(Zhao et al. 2016) $ \left. \begin{gathered} {{\dot m}^ + } = {C_{\text{p}}}\frac{{2\pi }}{{\left| \varGamma \right|}}\frac{{(1 - {\alpha _v}){\rho _{{v}}}}}{{{\rho _l}}}\left| {p - {p_v}} \right|,p < {p_{{v}}} \\ {{\dot m}^ - } = {C_{\text{d}}}\frac{{2\pi }}{{\left| \varGamma \right|}} \cdot \frac{{{\alpha _v}{\rho _v}\left| {p - {p_v}} \right|}}{{{\rho _{\mathrm{l}}}}},p > {p_{{v}}} \\ \end{gathered} \right\} $ 考虑了旋涡对空化泡半径的影响, 并将其引入相间质量输运速率的计算 3 基于涡识别的修正模型(Guo et al. 2018) $ \left. \begin{gathered} {{\dot m}^ + } = {C_{{\text{p0}}}}\frac{{3\left( {1 - {\alpha _{{v}}}} \right){\alpha _{{\text{nuc}}}}{\rho _{{v}}}}}{R}\sqrt {\frac{2}{3}\frac{{\left( {{p_v} - p} \right)}}{{{\rho _{\text{l}}}}}} ,p < {p_{{v}}} \\ {{\dot m}^ - } = {F_{\rm d}}{C_{{\text{d0}}}}\frac{{3{\alpha _{{v}}}{\rho _{\text{v}}}}}{R}\sqrt {\frac{2}{3}\frac{{\left( {p - {p_{{v}}}} \right)}}{{{\rho _{\text{l}}}}}} ,p > {p_{{v}}} \\ \end{gathered} \right\} $ 利用旋转因子对旋涡区域进行识别, 并对当地的凝结过程系数进行了针对性修正 4 考虑气核效应的修正模型(Cheng et al. 2021) $ \left. \begin{gathered} {{\dot m}^ + } = {C_{{\text{p0}}}}\frac{{3\left( {1 - {\alpha _{{v}}}} \right){\alpha _{{\text{nuc}}}}{\rho _{{v}}}}}{R}\sqrt {\frac{2}{3}\frac{{\left( {{p_v} + {p_{\text{g}}} - p} \right)}}{{{\rho _{\text{l}}}}}} ,p < {p_{\rm b}} \\ {{\dot m}^ - } = {C_{{\text{d0}}}}\frac{{3{\alpha _{{v}}}{\rho _{{v}}}}}{R}\sqrt {\frac{2}{3}\frac{{\left( {p - {p_v} - {p_{\text{g}}}} \right)}}{{{\rho _{\text{l}}}}}} ,p > {p_{\rm b}} \\ \end{gathered} \right\} $ 考虑了气核不可凝结气体分压对当地空化的贡献, 其中气核的空间分布由DPM模块提供 -
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