A phase/Doppler particle analyzer is used to measure the size and velocity distributions of the droplets generated by the disintegration of a cylindrical liquid jet. This type of liquid jet breakup is commonly called Rayleigh breakup. Metered liquid flow rates agree with the rates computed from the droplet measurements made with the phase/Doppler particle analyzer. The maximum entropy principle is used to predict the droplet size and velocity distributions. The constraints imposed in this model involve conservation of mass, momentum, surface energy, and kinetic energy. Agreement between measurements and predictions is very good.
A theoretical formulation based on maximum entropy principles is presented to predict the droplet size and velocity distributions of sprays in an isothermal environment. The joint droplet distribution function is derived subject to the constraints of mass flow rate, momentum flux, and two modes of energy fluxes(kinetic and surface). A simpler model, which reduces the number of constraints by three, is derived by choosing an adequate velocity integration range. This maximum entropy principle spray model is tested by comparing the calculated distributions with experimental measurements presented by the authors for a hollow cone, non-swirl spray nozzle and the experimentalresultsobtained by other researchers forhollow cone, swirl spray nozzles. For a specificdroplet size, the droplet velocity distribution is Gaussian. The droplet size distribution is much more complicated; three types of distributions may occur-positively skewed mono-modal, unifonn size (in the limit approaching a delta function), and bi-modal. This study is concerned mainly with the bi-modal size distribution.
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