New equation for the computation of flow velocity in partially filled pipes arranged in parallel

Abstract

This paper presents a new approach for the computation of flow velocity in pipes arranged in parallel based on an analytic development. The estimation of the flow parameters using existing methods requires trial and error procedures. The assessment of flow velocity is of great importance in flow measurement methods and in the design of drainage networks, among others. In drainage network design, the flow is mostly of free surface type. A new method is developed to eliminate the need for trial methods, where the computation of the flow velocity becomes easy, simple, and direct with zero deviation compared to Manning equation results and other approaches such as that have been considered as the best existing solutions. This research work shows that these approaches lack accuracy and do not cover the entire range of flow surface angles: 0° ≤ θ ≤ 360°.

Discussion of “Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function” by DejanBrkić; and Pavel Praks, Mathematics 2019, 7, 34; doi:10.3390/math7010034

“…Several researchers tried to propose an exact solution of the Colebrook-White equation (which is relevant only for turbulent flow [1,7])with the hope of achieving zero-percent (0%) maximum deviation as proposed in similar research [8][9][10], however simple formulas are always be preferred for highly computationally efficient [1,3]. The authors have presented an interesting work where the Right ω-function and the Padé approximation were used.…”

New Approach for the Computation of the Water Surface Angle in Partially Filled Pipes: Pipes Arranged in Parallel

“…Sewersheds may be arranged in series (Zeghadnia et al 2014b) or in parallel. In this study, the authors focus on the second case, where the pipes are arranged in parallel as shown in Fig.…”