Abstract: Based on the momentum differential equation for a stream with varying mass, a mathematical model describing the distribution of the gas stream along the axis of a radial flow reactor has been given. It is a boundary problem of a special dimensionless differential equation of the second order: for n-shaped flow Au"u + Bu u + Cu2 = 0 for Z-shaped flow Au"u + Buu + Cu + Eu2 + F(1 -u)2 = 0 with the boundary conditions y =0, u =1; y =1, u = 0 The values of coefficients A. B. C. E and F depend on the factors, such as, geometric parameters and resistance coefficients of the side flow through the hole for the divided flow channel, the combined flow channel and the porosity of the radial catalyst bed. To simplify the solution of the above boundary problem for n-shaped radial flow reactor, an analytical solution of the dimensionless differential equation is proposed. In practice, the results of the simulation of the oxidation of ammonia and the synthesis of ammonia in the reactor revealed the fluid dynamics characteristic of a radial flow reactor.

摘要： 本文提出了表征径向流动反应器内流体流动规律的数学模型.该模型为一特殊的二阶微分方程的边值问题.对于Ⅱ型流动:Au′u″+Bu′u+Cu~2=0对于Z型流动:Au′u″+Bu′u+Cu′+Eu~2+F(1-u)~2=0边界条件为y=0,u=1;y=1,u=0式中模型参数A、B、C、E、F决定于径向反应器分布流道结构尺寸、穿孔阻力系数和径向床层特性等因素.为简化Ⅱ型径向反应器边值问题的求解过程,本文推荐一种解析求解方法.该模型应用于径向氨氧化炉操作工况和径向氨合成塔设计工况的模拟,揭示了径向流动反应器内的流体力学特性.