输液管临界流速分析的精细积分法

Study on critical flow velocity in pipe conveying fluid by the precise integration method

将精细积分法用于分析输液管的临界流速 .先将输液管的控制方程写成状态向量的形式 ,通过精细积分法高精度地计算传递矩阵 ,再由边界条件得到输液管临界流速问题的特征方程 ,解此方程就可确定临界流速 .应用表明 ,该方法处理此类问题原理简单 ,实施容易 ,易于处理各种支承情况 ,而且由于最终只须求解一个二阶矩阵方程 ,因此计算量小 ,精度也令人满意 .

A high precision direct integration method (HPD) was proposed for calculating the critical velocity in pipes conveying fluid. The governing equation of a fluid-conveying pipe was expressed as the state vector equation. The HPD was used to calculate the transfer matrix. By using the boundary condition, the corresponding characteristic equation of the pipe was obtained and the critical velocity was determined. It is shown that this method is simple and effective. Compared with other methods, it can easily deal with many kinds of boundary conditions, and takes less computing time because the corresponding characteristic equation is only a two-order one.