ON THE GROWTH OF UNDERPRESSURIZED ANNULAR LIQUID JETS

A numerical study of annular liquid jets used for burning toxic wastes within the volume enclosed by these jets is presented. The study considers the dynamic behavior of both tire liquid and the gases enclosed bit the jet both under steady-state conditions and when the chemical reactions are extinguished and employs a grin generation technique that maps the time-dependent curvilinear geometry of thin, axisymmetric, incompressible, inviscid annular jets into a unit square. The governing equations are solved in strong-conservation law by means of finite differences. The results show that underpressurized liquid jets grow once the chemical reactions taking place in the volume enclosed by these jets are extinguished and that this growth depends on the Froude (gravity), Weber (surface tension), and Peeler (mass diffusion) numbers, the pressure at the jet's outer interface, the initial pressure of the gases enclosed by the annular jet, the concentration of the gases dissolved in tire liquid at the nozzle exit, the jet's thickness and exit angle at the nozzle exit, the solubilities of the gases enclosed by and surrounding the jet, and the temperature of the gases enclosed by the jet. It is shown that, for the cases considered in this paper, there is no leakage of gaseous combustion products through the jet's outer interface, and that the amount of gases dissolved in the liquid at the nozzle exit and the solubility ratio play a paramount role in determining the mass fluxes of toxic products at the annular jet's interfaces.