Mathematical Study Simulating Hydroelectric Power as a Renewable Green Energy Alternative

The incorporation of renewable energy sources to fulfill the global energy demands has emerged as a crucial aspect in a complete investigation. Various options for generating renewable energy encompass multiple elements, including wind, steam, and water. The objective of the project is to investigate the modeling of Hydroelectric Power as a viable option for the advancement of sustainable green energy. The Hydroelectric power system was modeled using fluid dynamics computational program utilizing up-elements. The highest fluid flow rate of 153.67 liters per minute corresponds to a pumping power of 15, 146 Newton meters per second, or a pump efficiency of 27.630%. On the other hand, the minimum flow rate of 95, 230 liters per minute results in a pump power of 24, 630 Newton meters per second, with an efficiency of 62.049%. Based on the experimental simulation results, it can be inferred that the water hose will function most effectively over a prolonged period with a low flow rate. This is because a minimal u(x, y) value will result in low pressure on the hose.