重力静压梯度场中通气空泡形态研究

基于连续方程，动量方程，能量方程，状态方程和标准k-ε方程，实现了重力静压梯度场中通气空泡流的数值求解；将来流边界温度定义为时间的函数关系，研究了重力静压梯度场中海洋垂向温度场对空泡形态影响规律；通过对等温通气空泡流进行数值研究，得到了重力静压梯度场中空泡长度和空泡直径随弗劳德数和空化数的变化规律。计算结果与已有经验公式和实验结果符合良好，证明该方法能够有效地预测重力静压梯度场中通气空泡形态。

Research on Ventilated Cavity Shapes in a Longitudinal Gravity Force Field

The ventilated cavity flow in a static pressure gradient field of gravity force was simulated based on continuous equation, momentum equation, energetic equation, state equation and standard k- ε equation. By defining the temperature of inflow boundary as the function of time, the effect of sea longitudinal temperature in gravity force field on cavity shapes was also studied. Furthermore, research on ventilated cavity at small Froude numbers was carried out and clear cavity shape and inner structure were obtained. At the same time, rule of cavity length and maximal cavity diameter varying with cavi?ty number and Froude number was achieved under the condition of ventilated cavity with same temper?ature. The simulated results are consistent with the experienced and the experimented, wmch proves that this method can implement effectively simulation calculation of cavity shapes in a longitudinal gravity force field.