Calculation of distribution drainage pipelines laid with a slope

Abstract

Quite simple and easy-to-use analytical dependencies for calculation of the main hydraulic and structural characteristics of distribution drainage pipelines, laid with a certain slope, are presented. They are proposed on the basis of the analysis of the differential equations system, which consists of the variable mass hydraulics equation and the modified filtration equation, and describes the fluid motion in such pipelines. The solutions of the original equations system are obtained under the assumption of neglecting the term that takes into account the effect of the flow rate variation along the path. The analysis uses the concept of an infinitely long distribution drainage pipeline, which is laid with a slope, or, what is the same, an inclined pipeline with an infinite filtration capacity of the side surface walls. Series of calculations of the main pipelines characteristics at different slope values were carried out according to the proposed formulas. Corresponding graphic dependencies were constructed for clarity. It is shown that the geometric slope of the pressure distribution drainage pipeline, the resistance factor and the generalized parameter A significantly affects the design parameters of such pipes.