对高炉内炉料运动势流模型及其流函数解法的发展

The developing of the potential flow modelling of the burden flow in a blast furnace

高炉综合模拟中,势流理论是模拟固态炉料运动可选用的理论之一,但求解原势流模型所定义流函数的等值线不一定是流线。文中首先将原势流模型发展为包括连续性方程、旋度为0方程的3方程模型,而且证明了求解此3方程模型所定义流函数的等值线是流线,进而结合位于同一流线上的床层填充颗粒直径不变的假设,导出了可模拟计算床层内炉料颗粒直径分布的方程;讨论了基于发展后势流模型的物料混合特征。最后将对炉料势流模型及其流函数解法的发展推广为发展其他运动模型及其流函数解法的一般方法。笔者的工作对势流理论在高炉等相关工艺模拟中的应用有一定的推动和示范作用。

Potential flow theory is an alternative theory to simulate burden flow in a blast furnace.But a contour line of the flow function defined to solve the old potential flow model isn＇t a stream line.In this paper,the old potential flow model is first developed to a three-equation model which should include the equations of motion and continuity,and it is proved that the contour lines of the flow function defined to solve this three-equation model are stream lines.Second,an equation capable of calculating the distribution of diameter of burden particles in blast furnace is derived from an assumption that all burden particles on a stream line has the same diameter.Finally,the developed potential flow model and the derived equation are used to simulate a final reduction reactor producing hot metal containing Cr,together with other needed transportation equations.These works would play an important improving and exemplary role in the application of potential flow theory to simulate blast furnace process and other iron-making process.