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为弥补用于泡状流双流体模型的直接离散差分解法无法比较直观地揭示流场成因的缺陷,针对最基本的泡状流(垂直圆管内充分发展段层流泡状流)提出了一种双流体模型解法——积分解法。首先通过对双流体模型进行符号积分,得到表示该模型的近似解析解,然后再用数值方法迭代求得数值解。该积分解法得到的近似解析解比较直观地表明:液相轴向速度主要与阻力、浮力和空泡率有关,而空泡率则主要受升力和壁面力的影响。数值解与实验数据基本吻合,预测精度一般不低于75%。
In order to make up for the shortcomings that the direct discrete difference method for the two-fluid model of bubble flow can not reveal the cause of the flow field more intuitively, a basic bubble flow (full development of staged flow in a vertical pipe) Two fluid model solution - integral solution. Firstly, by symbolic integration of the two-fluid model, an approximate analytical solution representing the model is obtained, and then the numerical solution is iteratively obtained. The approximate analytic solution obtained by the integral solution method shows that the axial velocity of the liquid phase is mainly related to the resistance, buoyancy and void fraction while the void fraction is mainly affected by the lift and the wall force. The numerical solution is in good agreement with the experimental data, and the prediction accuracy is generally not less than 75%.