二维非恒定空化流的数学模型

本文提出了一个新的数学模型,用于预测高Reynolds数的二维紊流场中非恒定空化流的形成与发展过程及其内部结构。将空化流看成是泡-液两相流动,采用宏观与微观两个尺度来描述其流动形态与内部结构。宏观尺度主要用于空化区及其外部紊流场的计算,微观尺度用于确定气核在紊流场中的运动及生长过程,宏观与微观两种分析相互结合,前者应用两相流模型及现有紊流场分析技巧,后者采用泡动力学理论,应用这一模型,可对二维紊流场中空化流的演变过程及其非恒定特性给出比较清楚的数值描述。

Mathematical Model For Simulating Two-dimensional Unsteady Cavitation Flow

A new mathematical model is proposed for predicating the dynamical behavior and inner structure of unsteady cavitation in a two-dimensional high-Reynolds number flow field. Treating the cavitation region as a bubble-liquid two-phase flow, two criterions are introduced to describe its motion and internal structure: macroscopic scaling and microscopic scaling. In the first modeling, the overall flow region is regarded as a viscous compressible turbulent flow with its density varies widely. In the microscopic treatment, the theory of bubble dynamics is used, with the varing density p. The two scales are matched.