Theoretical atomization model of a coaxial gas-liquid jet

This paper makes an effort to establish an explicit expression of Sauter Mean Diameter (SMD) based on the stability analysis theory and images of liquid jet surfaces observed in the experiments. It is believed that waves in a certain wavelength range will form liquid tongues on the surface of the liquid jet. Under the action of aerodynamic force, these liquid tongues will finally peel off and breakup into droplets. In this paper, we extend the classical linear stability theory and then obtain the explicit expression of SMD through full-wave integration according to the mass conservation. Based on this breakup model, the results of the derived SMD expression match favorably with the experimental data.