The drop size distribution is one of the crucial parameters in liquid atomization. In this study, we develop a ligament-mediated gamma distribution (LMGD) model for coaxial two-fluid air-blast atomization based on cascade breakup and a ligament-mediated spray mechanism that can predict the nonlinear relationship between the drop diameters and drop size distribution at different velocities. The use of a single-parameter gamma distribution for the sizes of fragments produced by liquid ligament breakup is validated by experimental and theoretical results for liquid atomization. The proposed model outperforms the traditional model in enabling the simultaneous calculation of the mean drop size and distribution, as well as the accurate prediction of the nonlinearity of the distribution of drop sizes. The LMGD model has the advantage of being simple and efficient and more realistic than the traditional model.
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