The dynamic behavior of the droplet and the liquid filament in the liquid jet process is widely encountered in natural phenomena and scientific problems. In this work, the liquid jet process is investigated by employing a phase field-based lattice Boltzmann model, and the influences of Reynolds number (Re), Weber number (We), and Ohnesorge number (Oh) on the dynamic behavior of the droplet and the liquid filament in this process are discussed comprehensively. Firstly, the static droplet is simulated and the results are validated against the Laplace law, then the liquid filament breakup processes at different wavenumbers are discussed, and the produced droplet sizes are analyzed quantitatively for validation. The results show that the Re affects the produced droplet number and the penetration length in the liquid jet process, and a high Re number leads to pronounced droplet fragmentation and an increased penetration length. The droplet shape is affected by the We number, and a high We number results in unstable and irregularly shaped droplets. The liquid jet fragmentation and the droplet size are affected much by the Oh number, and a high Oh number results in small droplet sizes, which further enhances the liquid jet breakup.
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Liu et al. (2026) studied this question.
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