Mathematical and computer modeling of the sprinklers pollution processes in irrigation systems

The article proposes a new mathematical model of sprinkler contamination in irrigation systems. Simulation is carried out in corpuscular level. It is considered the process of overlapping holes by different solid particles. Sizes of the particles and the moments of their incoming are considered as random variables. The result of the process of sprinkler nozzles contamination reduces the volume of irrigation water. Our mathematical model allows predicting water consumption in the irrigation systems depending of the irrigation water contamination level. The model is general and can be used to study other processes associated with contamination technical systems by solid particles.