We consider the momentum effects on drop size and distributions during spray atomization. By adding the liquid and gas momentum analysis to conservation equations for mass and energy, we construct a formulation for determination of the spray drop size, number density, and liquid/gas velocities during spray atomization. In this approach, the aerodynamic drag is approximately parameterized by the drag coefficient, and viscous dissipation with dimensional scaling. This allows us to calculate the spray drop size and distributions from the injection parameters. The formulation also yields a broad dynamic perspective of spray atomization in which the liquid momentum undergoes deceleration due to drag and the drop size is the result of attendant energy transfer from the liquid kinetic to surface tension energy. Momentum adds a key component to the analysis of spray atomization leading to some useful relationships between the drop size and velocities. In this work, we present some methods for the use of momentum analyses for determination of drop size and distributions in various spray injection geometries.

中文翻译：

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用于确定雾化雾化过程中液滴尺寸和分布的动量分析

我们考虑了动量对喷雾雾化过程中液滴尺寸和分布的影响。通过将液体和气体动量分析添加到质量和能量守恒方程中，我们构建了一个公式，用于确定喷雾雾化过程中的液滴尺寸，数量密度和液/气速度。在这种方法中，空气阻力由阻力系数和粘性耗散随尺寸缩放近似地参数化。这使我们能够根据喷射参数来计算雾滴的大小和分布。该配方还产生了喷雾雾化的广泛动态观点，其中液体动量由于阻力而减速，液滴尺寸是伴随的能量从液体动力学传递到表面张力能量的结果。动量在喷雾雾化分析中增加了关键成分，从而导致了液滴尺寸和速度之间的某些有用关系。在这项工作中，我们介绍了一些使用动量分析的方法来确定各种喷雾注入几何形状中的液滴尺寸和分布。