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Centrifugal pumps are widely used in various industries for fluid transportation and are known for their efficiency and reliability. In this article, we will explore a centrifugal pump example to understand how these pumps work and how to calculate important parameters.
The document contains 5 solved problems related to centrifugal pumps. The problems cover topics like calculating head, power required, efficiency,
Example:
A centrifugal pump has an outlet diameter equal to two times the inner diameter and is running at 1200 rpm. The pump works against a total head of 75 m. We need to calculate the velocity of flow through the impeller.
Solution:
To calculate the velocity of flow through the impeller, we can use the formula:
\[ V = \frac{Q}{A} \]
Where:
- \( V \) = Velocity of flow (m/s)
- \( Q \) = Flow rate (m\(^3\)/s)
- \( A \) = Area of the impeller (m\(^2\))
First, we need to calculate the flow rate using the formula:
\[ Q = \frac{\pi \times D^2 \times N}{4 \times 60} \]
Where:
- \( D \) = Diameter of the impeller (m)
- \( N \) = Pump speed (rpm)
Given that the outlet diameter is two times the inner diameter, we can calculate the diameter of the impeller:
Inner diameter, \( D_i = D \)
Outlet diameter, \( D_o = 2D \)
Area of the impeller, \( A = \frac{\pi}{4} \times (D_o^2 - D_i^2) \)
Substitute the values and calculate the flow rate:
\[ Q = \frac{\pi \times (2D)^2 \times 1200}{4 \times 60} \]
Next, we calculate the area of the impeller:
\[ A = \frac{\pi}{4} \times ((2D)^2 - D^2) \]
Now, we can calculate the velocity of flow using the formula mentioned earlier.
Dimensionless performance curves for a typical centrifugal pump from data given in Fig. 14.9 Fig. (14.10)
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centrifugal pump solved examples|centrifugal pumps handbook pdf