Heat and mass transfer in annular liquid jets: III. Combustion within the volume enclosed by the jet

The nonlinear dynamics of and heat and mass transfer processes in annular l iquid jets are analyzed by means of a nonlinear system of integrodifferenti al equations which account for the liquid motion and the gases enclosed by the jet. Both linear and sinusoidal heat and mass addition sources are cons idered to take place homogeneously within the volume enclosed by the jet's inner interface in an attempt to simulate the combustion of hazardous waste s or materials within this volume. It is shown that the liquid's temprature at the jet's inner interface increases rapidly with linear heat addition, but drops also quickly to its initial value once heat addition is ended, wh ereas the pressure coefficient and the volume enclosed by the jet increase until they reach a maximum Value and then decrease in an oscillatory manner towards their steady values. For the case of sinusoidal heat addition, it is shown that the pressure coefficient and interfacial concentration, tempe rature End heat and mass fluxes oscillate in a sinusoidal manner with the s ame frequency as that of the sinusoidal heat source. It is also shown that mass transfer phenomena are much slower than heat-transfer ones. For the ca se of linear mass:addition, it is shown that the:temperature of the gases e nclosed by the jet first decreases because of dilution and then it increase s until it reaches a constant value that corresponds to the same, temperatu re for the gases and the flowing liquid. The pressure of the gases enclosed by the jet first increases because of mass addition and then slowly decrea ses because of mass absorption by the jet, (C). 2000 Elsevier Science;Inc. All rights reserved.