Calculation and verification of dynamical cavitation model for quasi-steady cavitating flow

Calculation and verification of dynamical cavitation model for quasi-steady cavitating flow
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准稳态空化流动力空化模型的计算与验证

DOI:
10.1016/j.ijheatmasstransfer.2015.01.098
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发表时间:
2015-07
影响因子:
5.2
通讯作者:
Zhang Xuejun
Zhang Xuejun
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhang Xiaobin;Zhu Jiakai;Qiu Limin;Zhang Xuejun

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由于气泡的非定常特性,自发空化流动本质上是一个不平衡的水动力过程。全空化模型(FCM)是目前广泛应用于空化流动模拟的一种模型,它考虑了所有的一阶效应,但基于气动阻力和表面张力之间的流动平衡条件,假定典型的气泡半径等于最大可能尺寸。本文提出了一种新的空化模型(命名为动态空化模型,DCM)相结合的压力依赖的气泡半径的表达式与FCM。在热力学平衡的假设下,由Gibbs-Duhem方程和Young-Laplace方程推导出了该表达式。随后,DCM被实施到均匀混合流模型为基础的计算流体动力学程序的空化流。通过对不同头部形状的圆柱体和水翼空化流动的验证计算,验证了DCM模型的正确性。用DCM计算的准稳态压力分布与FCM计算结果和实验结果吻合较好。然而,由于DCM比FCM对压力更敏感,因此使用DCM计算的空化区比从FCM计算的空化区在更小的体积上展开。
Due to the intrinsically unsteady characteristics of bubbles, the spontaneous cavitation flow essentially is an unbalanced hydrodynamic process. The so called full cavitation model (FCM) is now widely used in the modeling of cavitating flow, as it accounts for all the first-order effects, but assumes the typical bubble radius is the same as the maximum possible size based on the flow balance condition between aerodynamic drag and surface tension forces. The present paper develops a new cavitation model (named the dynamic cavitation model, DCM) by combining an expression for the pressure-dependent bubble radius with the FCM. The expression was derived from the Gibbs–Duhem equation and Young–Laplace equation under the assumption of thermodynamic equilibrium. Subsequently, the DCM was implemented into a homogeneous mixture flow model-based CFD code for cavitation flow. Verification calculations for water cavitating flows over a hydrofoil and submerged cylindrical bodies with different forehead geometries were performed to validate the DCM by comparing it with the experimental results. The quasi-steady pressure distributions computed with DCM accorded well with the results of FCM and the experiments. However, because the DCM is more sensitive to pressure than the FCM, the cavitation zone computed using the DCM spreads out over a smaller volume than that computed from the FCM.
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