Analyses of Spray Atomization Based on Integral Form of Conservation Equations: Applications to Liquid Jets in Cross Flows and to CFD Liquid injection in cross ﬂows has applications in gas-turbine engines, afterburners and some rocket combustion chambers. Integral form of the conservation equations has been used to ﬁnd a cubic formula for the drop size in liquid sprays in cross ﬂows. Similar to the 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 of the relevant parameters, including the gas- and liquid-phase velocities. The results agree well with experimental data and correlations 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 in estimating the drop size for practical applications, and also in computational simulations of liquid injection in cross ﬂows, and in other spray geometries in general.autPark, Jung EunthsLee, TaewoodgcHuang, Huei-PingdgcChen, KangpingpblArizona State UniversityengMasters Thesis Mechanical Engineering 2018https://hdl.handle.net/2286/R.I.4910200Masters ThesisAcademic theses64 pages115278581271630032421156245systemIn CopyrightAll Rights Reserved2018TextMechanical Engineering