计算喷雾干燥塔直径和高度的数值积分法

Numerical integral method to calculate diameter and height of spray dryer

提出了计算喷雾干燥塔直径和高度的一种新方法———数值积分法。该法在0.5≤Re≤3000的跨区间(包括部分层流区、全部过渡区和部分湍流区)内,阻力系数与雷诺数之间的关系用误差极小的多项式拟合计算式,取代图解积分法中绘制列线图时使用的误差较大的A llen公式,得出计算雾滴水平飞翔距离和雾滴减速运动下降距离的积分式,用精度很高的四阶复化高斯-勒让德数值积分法直接求出它们的值,然后算出塔径和塔高。算例表明,新方法计算简便、结果精确、易于编程用计算机计算、收敛速度快。

A new method—— numerical integral method for calculating the diameter and height of spray dryer was presented. In order to reduce the error, instead of the equation Allen the polynomial was used for the description of the relation between drag coefficient and Renault number in the interval 0.5 ≤Re≤3000 （including part of laminar flow region, transition flow region and part of turbulence flow region）. The integral formula of fog drip volitation distance and fog drip decelerated falling distance was solved by fourth order Gauss-Legendre numerical integral method for diameter and height of spray dryer. The practical example indicated that the diameter and height of spray dryer are calculated easily and accurately by the new method. The new method is easy for programming and increasing the convergence rate.