# Design of Pump System for Water Tank Filling

In this project, we are required to design a system to fill a roof-top from a large lake. The objective is to determine the most conductive design for the system. In order to reach our goal, we have to select a proper pipe diameter and a suitable pump on the basis of technical and economic considerations. The given dimensions and pressure rating for standard pipes and the given system specifications are to be used in the calculations to gain energy balance. Further, we will convert our scientific data to economic one to find out the minimum investment.

Several formulas are given to support our calculations. We have started with the conversions of dimensions that gave us a suitable unit of energy, which can be used to calculate the cost of a pump and the cost of pipe per meter length. The formula bellow is to be utilized; here variable P is the pump power rating in kilowatts, and D is the pipe diameter in meters.

It is required to focus on the analysis of the system in economic perspective. Thus, the calculations, which led us to the point referred to the pipe diameter, fluid velocity inside the pipe, friction, work, and power. They are extremely important for modeling and designing the system because they are the key to the physical construction of the system.

In the table above, the actual cost of materials and labor can be seen. We believe that the highlighted cost is the best one, because it perfectly fits in the given specifications and calculations. No data is one hundred percent accurate. Calculations have biased and precision uncertainty. To make it simple, the given specifications will be modeled correctly. Still, they are not going to be accurate, as the instruments were used to calculate pipe diameter and other dimensions. There are no dimensions of the pipes, but we do not know the quality of the instruments that were used to measure them. Due to this we have an error of uncertainty in our modeling, as it is based on measurements. Errors and uncertainties are the two main issues that we should keep in mind. If we have an error, it might mean that there is a problem in the calibration of our system, which is likely to lead us to the wrong information.

In conclusion, we would like to mention that the calculations basically sum up the whole economic criteria. A suggestion for the future is that we should not focus only on the economics while dealing with the project; we should also concentrate on its safety. Another recommendation is to think about the amount of energy we can store rather than consume. Electrical motors are not the best choice to have energy. Solar panels and fuel cells should be used to store it. Finally, it was interesting to work on this project. We considered it from different points, which occurred to be helpful.