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根据水泥浆液的Navier-Stokes方程及连续性方程,采用特征线法建立了灌浆管道非定常流动的动态流体力学模型。其中包括划分网格,单管混合问题的特征线差分法等,将整个灌浆管路简化为一系列描述管道、设备、灌浆孔、调节阀的非线性代数方程组,并采用Newton-Raphson法进行了求解。基于该模型的GYPC控制系统可将波动的灌浆压力在短时间内调节控制在±0.02MPa范围内,表明该流体力学模型是合理与实用的。
According to the Navier-Stokes equation and continuity equation of cement slurry, the dynamic fluid mechanics model of unsteady flow in grouting pipe is established by the characteristic method. This method includes the feature-line difference method of dividing the grid and the single-tube mixing problem, and simplifies the entire grouting pipeline into a series of nonlinear algebraic equations that describe the pipeline, equipment, grouting hole and regulating valve, and adopts the Newton-Raphson method Solved. The GYPC control system based on this model can control fluctuating grouting pressure within ± 0.02MPa within a short time, which shows that the hydrodynamic model is reasonable and practical.