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Analytical Study of Wind Influence on In-Flight Sprinkler Droplets

机译:风对空中洒水喷头影响的分析研究

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An analytical model to describe the dynamics of in-flight droplets is presented in this paper to augment information on wind influence on travel distance of in-flight sprinkler droplets. The model is ballistic-theory based. It employs a relatively simple, wide-range empirical relationship between drag coefficient and Reynolds’ number to replace the several sets of relations for a specified range of Reynolds numbers. The fourth-order Runge-Kutta numerical integration techniques were used to solve the trajectory equations. A modified exponential model for droplet size distribution was used during the simulation. Comparative analysis showed that agreement exists between the predictions of this model and that of earlier models. Droplets with a diameter smaller than 0.1 mm travelled farthest. Within the droplet range of 0.5 mm to 4.5 mm, as droplet diameter increased, travelled distance increased with increasing wind speed. The extent of drift increased sharply within the droplet range of 0.5 mm to 0.05 mm and increased mildly for droplet diameters greater than 0.5 mm. The model also attempts to identify droplets that are likely to contribute to drift loss and those that have a high probability of contributing only to distortion of the distribution pattern.
机译:本文介绍了一种描述飞行中液滴动态的分析模型,以增加有关风对飞行中洒水液滴传播距离的影响的信息。该模型基于弹道理论。它在阻力系数和雷诺数之间采用了一个相对简单的,宽范围的经验关系,以替换指定范围的雷诺数的几组关系。使用四阶Runge-Kutta数值积分技术求解轨迹方程。在仿真过程中使用了改进的指数模型来实现液滴尺寸分布。比较分析表明,该模型的预测与早期模型的预测之间存在一致性。直径小于0.1毫米的液滴走得最远。在0.5 mm至4.5 mm的液滴范围内,随着液滴直径的增加,行进距离随风速的增加而增加。在0.5 mm至0.05 mm的液滴范围内,漂移程度急剧增加,而对于直径大于0.5 mm的液滴,漂移程度则缓慢增加。该模型还尝试识别可能导致漂移损失的液滴以及仅导致分布图案变形的可能性很高的液滴。

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