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Atomization and Sprays
Facteur d'impact: 1.262 Facteur d'impact sur 5 ans: 1.518 SJR: 0.814 SNIP: 1.18 CiteScore™: 1.6

ISSN Imprimer: 1044-5110
ISSN En ligne: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.2018022768
pages 241-254


T.-W. Lee
Department of Mechanical and Aerospace Engineering, School of Engineering for Matter, Transport and Energy, Arizona State University, Tempe, AZ 85287, USA
Jung Eun Park
School of Engineering for Matter, Transport and Energy, Arizona State University, Tempe, Arizona 85287-6106, USA
Ryoichi Kurose
Department of Mechanical Engineering and Science, and Advanced Research Institute of Fluid Science and Engineering, Kyoto University, Kyoto daigaku-Katsura, Nishikyo-ku, Kyoto 615–8540, Japan


Liquid injection in cross flows has applications in gas-turbine engines. We have used the integral form of the conservation equations to find a cubic formula for the drop size in liquid sprays in cross flows. Similar to our work on axial liquid sprays, the energy balance dictates that the initial kinetic energy of the gas and injected liquid be distributed into the final surface tension energy, kinetic energy of the gas and droplets, and viscous dissipation incurred. Kinetic energy of the cross flow is added to the energy balance. Then, only the viscous dissipation term needs to be phenomenologically modelled. The mass and energy balance for the spray flows renders to an expression that relates the drop size to all the relevant parameters, including the gas- and liquid-phase velocities. The results agree well with experimental data for the drop size. The solution also provides for drop size–velocity cross-correlation, leading to drop-size distributions based on the gas-phase velocity distribution. These aspects can be used for estimating the drop size for practical applications and for computational simulations of liquid injection in cross flows.