An inviscid linear stability analysis of fine particle-laden round jets with co-flow was performed to study the effects of particles on the near-injector development of the jet flows. Particles were assumed to follow the fluid motion in the mean. The drag force acting on the particles coupled the fluid and particle motion equations. For the stability analysis, the presence of particles was found to be equivalent to a modified mean velocity profile that was affected by the mass loading of the particles and the particle time constant. In general, the particles reduced the amplification rates of disturbances, and the frequency corresponding to the maximum amplification rate. The presence of a co-flow resulted in a decrease in amplification rate of the disturbances, but an increase in the range of unstable frequencies. The particle dispersion characteristics were primarily dependent on the particle time constant. It was found that for a certain particle time constant particle dispersion was a maximum (even greater than that of the fluid). In particular, particles with time constants close to the large-eddy time scales dispersed the most. The results of the study are in agreement with other theoretical and experimental investigations on particle dispersion.
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