HYDRAULIC MODELLING OF HARDY CROSS METHOD SYSTEM OF PIPE NETWORK AND INVESTIGATION OF CONTINUITY EQUATION

ABSTRACT This study focuses on the hydraulic modeling and analysis of pipe networks using the Hardy Cross Method, with a detailed investigation into the application and verification of the continuity equation. The research involved the development of a comprehensive mathematical model to simulate steady-state flow distribution and pressure variations within a designed pipe network. The iterative Hardy Cross technique was applied to balance head losses across network loops and achieve system equilibrium. A critical component of the analysis was the rigorous validation of the continuity equation at all junctions to ensure the principle of mass conservation was upheld, confirming the model's integrity. The model was validated through comparison with established analytical solutions and its performance was evaluated via sensitivity analysis on key parameters such as pipe roughness and demand patterns. The results demonstrate the efficacy and reliability of the Hardy Cross Method for solving complex network problems, accurately predicting flow rates and pressure heads. The study concludes that the method remains a fundamental and valuable tool in hydraulic engineering for the design and analysis of water distribution systems. Recommendations include the adoption of computational software for larger networks and further research into dynamic and transient flow conditions.