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Modelling approaches to acoustic cavitation in transmission pipelines

机译:传输管道中的声空化的建模方法

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A general treatment of acoustic cavitation was presented, including both fluid dynamics instabilities that can occur at cavitation inception as well as non-equilibrium thermal and mechanical effects during bubble dynamics. Different approaches to cavitation modelling were considered and compared.rnA novel barotropic cavitation model has been developed, based on the partial differential equations governing the mass-conservation and momentum balance. The fluid has been taken as a homogenous mixture of a pure liquid, its vapor and a quantity of gas, both dissolved and undissolved. The analytical expression for the vapor source term driving cavitation has been carried out by means of the energy conservation equation and a general formula for the sound speed in homogeneous bubbly flows has been derived.rnA recently developed conservative, implicit, high-resolution, second-order accurate numerical scheme was applied to solve the equations governing the pipe flow. The resultant computational algorithm was assessed through comparison with experimental data referring to a system made up of a pipe connecting two constant-pressure reservoirs of water. The model predictions were examined and discussed in order to underline the most interesting fluid-dynamic phenomena, such as the dynamics of shock waves arising at cavitation collapse.rnThe influence of the frequency-dependent friction on the simulation of the pressure wave dynamics in the presence of cavitation was also analyzed and discussed.
机译:介绍了声空化的一般处理方法,包括空化开始时可能发生的流体动力学不稳定性以及气泡动力学过程中的非平衡热和机械效应。考虑并比较了不同的空化建模方法。rn基于控制质量守恒和动量平衡的偏微分方程,开发了一种新型的正压空化模型。流体被视为纯液体,其蒸气和一定量的气体(溶解的和未溶解的)的均匀混合物。利用能量守恒方程对汽相项驱动空化进行了分析,得出了均匀气泡流中声速的一般公式。采用阶次精确的数值方案来求解控制管道流量的方程。通过与实验数据进行比较,评估了所得的计算算法,该实验数据是由连接两个恒压水库的管道组成的系统组成的。为了强调最有趣的流体动力学现象,例如空化崩溃时产生的冲击波的动力学,对模型的预测进行了讨论和讨论。rn频率相关摩擦对存在时压力波动力学模拟的影响还分析和讨论了空化现象。

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