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.