How to Determine the Maximum Flow Rate of Water a Pump Can Deliver

What is the method to calculate the maximum flow rate of water that a pump can deliver?

Calculation of Maximum Flow Rate

Building an underground well and using a submerged pump to pump water can help resolve water scarcity during dry seasons. In this scenario, a submerged pump with a power of 4 kW and 70% efficiency was used to pump water from the underground well. The water was pumped to a reservoir with a free surface 30m above the underground water level. The pipe diameter was 7 cm on the pump's intake side and 5 cm on the discharge side. To determine the maximum flow rate of water that the pump can deliver, we can use the following formula: Qmax = A1V1 Where: - A1 = Area of the pipe on the pump's intake side - V1 = Velocity of water on the pump's intake side The velocity of water can be calculated using Bernoulli's equation, which takes into account the height of the well and the reservoir. The pressure difference between the intake and discharge sides of the pump is negligible due to the height difference between the well and reservoir. The efficiency of the pump can be calculated using the formula: η = (output power/input power) × 100% The output power is equal to the product of water's flow rate, density, and gravitational acceleration, while the input power considers the water's flow rate, pressure difference, and pump efficiency. By solving the equations derived from Bernoulli's equation and the efficiency formula, we can determine the maximum flow rate of water that the pump can deliver.

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