Discharge of a Centrifugal Pump:

A centrifugal pump is a type of dynamic pump that works on the principle of centrifugal force. It is commonly used in industries to transfer fluids from one place to another. The discharge of a centrifugal pump depends on several factors, such as the impeller diameter, speed, and the fluid properties.

Relationship between Discharge and Pump Speed:

The discharge of a centrifugal pump is directly proportional to the pump speed. This means that if the pump speed increases, the discharge also increases proportionally. Similarly, if the pump speed decreases, the discharge also decreases proportionally.

Mathematically, we can express this relationship as:

Q ∝ N

where Q is the discharge and N is the pump speed.

Explanation:

The relationship between discharge and pump speed can be explained by the centrifugal force generated by the impeller. The impeller is the rotating part of the pump that converts the mechanical energy from the motor into kinetic energy of the fluid. As the impeller rotates, it creates a centrifugal force that moves the fluid towards the outer edge of the impeller. This force increases with the speed of the impeller, which leads to an increase in the discharge.

Limitations of the Relationship:

However, it is important to note that the relationship between discharge and pump speed is not linear. It may vary depending on the design of the pump and the fluid properties. Other factors such as the impeller diameter, number of impeller blades, and the shape of the impeller also affect the discharge. Therefore, it is necessary to determine the specific pump characteristics for accurate predictions of the discharge.

A) Directly proportional to N