Mathematical Model of the Working Process of a Radiant Vortex Injector Mounted in a Furnace Roof

摘要

The mathematical description of processes in the combustion chamber of a radiant vortex injector and in the adjacent furnace working space is discussed. Gas flow processes were modeled using numerical solutions of averaged Navier-Stokes, continuity, and energy equations and of the k-epsilon turbulence model. Radiant transfer was based on the differential method using a modified P_1 approximation. The combustion process model was a flame front of finite thickness in which the influence of turbulence was shown in terms of the vortex dissipation concept, which made it possible to calculate the distributions of velocity, pressure, temperature, and mixture component concentrations, find the combustion zone configuration, estimate the ejection capability of the radiant vortex injector, and solve the external problem of heat exchange in a furnace equipped with a radiant vortex injector. It was found that large velocity gradients in the radiant vortex injector chamber result in the generation of turbulence characterized by high values of pulsation kinetic energy.