Mathematical model of fast filters drainage work with floating load.

This article is devoted to the most resource-intensive structures in water supply systems such as fast filters. Replacing traditional sand filters with floating ones with a layer of suspended polystyrene foam can significantly intensify the filtering process. As it turned out, their main drawback is drainage distribution systems. Replacing traditional drainage systems with polymer concrete drainage avoids these disadvantages. However, in polymer-concrete drainage of a tray type, an uneven distribution of flow along the length of the tray may occur. To prevent this phenomenon, it was proposed that the bottom of the drainage is performed with an uneven cross section with a slope towards the collection channel, by means of the device of a prototype. The mathematical description of this process is carried out using three equations: the equation of the influx of water into the tray; the equation of motion of water flow in the tray and the equation of balance. Based on this mathematical model, a program was developed in Microsoft Excel. A numerical study of this model was also carried out on a real-size filter. As research results showed that an increase in the coefficient of hydraulic resistance and the slope of the tray bottom contribute to a uniform flow distribution, and a change in intensity slightly affects the uniformity of distribution. [ABSTRACT FROM AUTHOR]