Abstract

In the present work, we compare the calculation results by the classical Antoine Chézy formula and refined Prodous - Shlychkov formula. Unlike the classical formula for the hydraulic calculation of gravi-ty drainage networks introduced in 1769, the new formula includes the thickness of an actual deposit layer in pipe water troughs. Using the A. Chézy formula for the hydraulic calculation of new pipes made of different materials provides sufficient practical accuracy; however, no studies have been per-formed for pipes with deposits in the water troughs. The Chézy formula is characterized by the de-nominator having the reduced pipe diameter, which takes into account the effect of the thickness h associated with a sediment layer. To compare the precision of the two formulas, a practical problem should be solved. For that, a specific example is necessary to compare the calculation results of hy-draulic slope i, obtained using the classical Chézy formula and refined Prodous - Shlychkov formula. Analysis of the values of pipe characteristics indicates that the presence of a deposit layer h = 0.1 m in the water troughs leads to an increase in the gravity flow rate from Vn = 0.88 m/s to Vpr = 2.0 m/s (2.27 times) and the hydraulic slope from in = 0.00282 m/m to ipr = 0.02527 m/m (8.96 times). Therefore, in-troducing the dpr value to the formula allows more accurate results in the hydraulic calculation of the hydraulic slope ipr to be obtained for pipes with deposits in their water troughs. An example of hydrau-lic calculation for pipes with deposits and the dependency graph of the hydraulic slope as a function of the actual flow rate are provided. The obtained values are summarised in a table with pipe characteris-tics depending on different gravity flow rates. It is recommended to introduce the refined A. Chézy formula to the normative standard RR 32.13330.2012.

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