Comparison of Newton Raphson – Linear Theory and Hardy Cross Methods Calculations for a Looped Water Supply Network

Abstract

This study conducts a comparative analysis between the Newton-Raphson and Hardy Cross methods for solving a looped main linear water network consisting of 4 pipes. The research findings demonstrate a high degree of unity between the outcomes obtained from these two methods, thereby validating their accuracy and reliability in solving water network equations. While the Newton-Raphson method shows faster convergence than the Hardy-Cross Method, both approaches effectively plan and analyze water networks. The analytical methodology employed in this study provides valuable insights into the applicability and efficiency of these methods in optimizing gravity main water networks. By combining the strengths of the Newton-Raphson and Hardy Cross methods, engineers and planners can make informed decisions to enhance the performance and sustainability of water distribution systems. The findings contribute to advancements in water infrastructure planning and design, aiming to ensure efficient and reliable water supply to meet the evolving needs of urban and rural communities.