流体平衡的充要条件

针对流体静力学平衡方程能否作为流体平衡的充分条件的问题,利用N-S方程,分别以粘性流体和理想流体为研究对象,分析了流体静力学平衡方程与流体平衡的关系。分析认为,无论粘性流体还是理想流体,只要满足流体静力学平衡方程,流体就处于平衡状态。结果表明：流体静力学平衡方程是粘性流体和理想流体静止或在运动受限情况下平衡的唯一充分必要条件。

Sufficient necessary condition for fluid balance

To the equilibrium problems in hydrostatic equilibrium equation,this paper discussed the hydrostatic equilibrium equation and the relationship between the fluids balances using N-S equation.The analysis indicates that,to the viscidity fluid or ideal fluid,as long as satisfying hydrostatics balance equation,it will be in equilibrium state.The results show that the hydrostatic equilibrium equation is the balance necessary and sufficient condition for viscous fluid and ideal fluid in static or sport limited circumstances.