Numerical and Theoretical Investigation to Estimate Darcy Friction Factor in Water Network Problem Based on Modified Chun-Hui He’s Algorithm and Applications

Waseem Asghar Khan,Fozia Bashir Farooq,Mogtaba Mohammed,Ziyad Ali Alhussain,Umer Farooq,Muhammad Arif,Jamshaid Ul Rahman,Murtada K Elbashir,Alessandro Rasulo

doi:10.1155/2022/8116282

Abstract

In this work, we applied the modified Chun-Hui He’s algorithm to evaluate for estimation of flow friction factor f for value of friction factor by using Colebrook–White relation. The speedy, precise, and consistent evaluation of flow friction factor f are essential for evaluation of pressure dips and streams in complex network prototypes at distinct values of diameters of pipes. Friction factor estimated outcomes are applied in everyday engineering routine. Numerous computational systems tested for distinguishing of water pipe networks resolution, such as Hardy Cross method (HCM), Newton method (NM), and modified Newton method (MNM), are presented. As a novelty, a modified Newton method tabulated data, graphical results, and comparisons that are presented with different numerical schemes.

Highlights

Waseem Asghar Khan,1 Muhammad Arif,2 Mogtaba Mohammed,1,3 Umer Farooq,4 Fozia Bashir Farooq,5 Murtada K
Numerous computational systems tested for distinguishing of water pipe networks resolution, such as Hardy Cross method (HCM), Newton method (NM), and modified Newton method (MNM), are presented
Introduction e investigation of a few issues in many fields such as computational physics, computational biology, engineering, environmental sciences, chemistry, and economics in order to resolve real-life nonlinear models with constrained domain. e Newton technique and its variations are effective in solving nonlinear models that occur in real-world problems with reasonable stopping conditions [1, 2]. e flow variation to all loops is immediately removed in this manner, resulting in a high-level merger

Summary

Introduction

Waseem Asghar Khan ,1 Muhammad Arif ,2 Mogtaba Mohammed,1,3 Umer Farooq ,4 Fozia Bashir Farooq,5 Murtada K. E speedy, precise, and consistent evaluation of flow friction factor f are essential for evaluation of pressure dips and streams in complex network prototypes at distinct values of diameters of pipes.

Results

Conclusion