Abstract
This article was aimed to solve an urgent problem of ensuring quality for prilling processes in vibrational prilling equipment. During the research, the need for the application of vibrational prilling to create a controlled impact on the process of jet decay on droplets with the proper characteristics was substantiated. Based on the experimental and theoretical studies of the process of decay of a liquid jet into drops, axisymmetric droplet oscillation modes for the different frequencies were observed. Frequency ranges of transition between modes of decay of a jet into drops were obtained. As a result, the mathematical model of the droplet deformation was refined. The experimental research data substantiated this model, and its implementation allowed determining the analytical dependencies for the components of the droplet deformation velocity. The proposed model explains the existence of different droplet oscillation modes depending on the frequency characteristics of the superimposed vibrational impact. Based on an analytical study of the droplet deformation velocity components, the limit values of the characteristics defining the transition between the different droplet oscillation modes were discovered. Analytical dependencies were also obtained to determine the diameter of the satellites and their total number.
Highlights
During the dispersion of a liquid through a perforated shell in the vibrational priller, the geometric characteristics of holes for obtaining droplets are crucial for the creation of the energy-efficient prilling equipment [1] of nitrogen and complex mineral fertilizers [2]
According to the analysis mentioned above, the aim of this research was to create a refined mathematical model that describes the effect of superimposed vibrations on droplet deformations, which is based on an experimental study of droplet oscillation modes
In the process of fluid leakage from the holes of the prilling equipment, the critical velocity of the jet decay into droplets can be determined from the equilibrium state condition as the equality of the forces of surface tension [33] and environmental resistance [34]: σπd = 3μvcr πd, (1)
Summary
During the dispersion of a liquid through a perforated shell in the vibrational priller, the geometric characteristics of holes for obtaining droplets are crucial for the creation of the energy-efficient prilling equipment [1] of nitrogen and complex mineral fertilizers [2]. Theoretical studies of the process of liquid jet decay into droplets under the action of its own oscillations [6] is the first, major step of theoretical and experimental studies to develop reliable mathematical models and to create calculation techniques for designing prillers. These models should spray the liquid into prills [7] with subsequent crystallization [8]. The theoretical description of the liquid jet motion is based on jet theory [9,10]
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