The problem of liquid droplets crossing a gas is common to many scientific and technical issues and, in particular, also to sprinkler irrigation; thus, when designing a sprinkler irrigation system, it is essential to fully understand how droplets mechanically behave during their flight and how a mathematical modeling can cope with all the variables affecting one another during such a complicate thermal fluid dynamic process. In the thematic scientific literature, the classic approach has been recently challenged by an alternative quantum one, provided in two different formulations referring to a single droplet dynamics: one focusing on a full description of the process (timedependent Schro¨ dinger equation); the other focusing on the discovery of an easier-to-use method (scale relativity theory); both allowing for a broader microscopical insight of the actual mechanics of single water droplets in sprinkler irrigation. The present contribution is aimed at developing the quantum procedure extending it to a cluster of water particles, as one droplet during its aerial flight conditions the others, which are in its vicinity and vice versa.
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