Centrifugal Pump Capacity Calculation Formula

Centrifugal Pump Capacity Formula:

\[ Q = \frac{\pi \times D^2 \times n \times H}{4 \times g} \]

Flow Rate (Q):

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1. What is the Centrifugal Pump Capacity Formula?

The centrifugal pump capacity formula calculates the volumetric flow rate (Q) of a pump based on its impeller diameter, rotational speed, and head. This fundamental equation helps engineers design and select pumps for various applications.

2. How Does the Calculator Work?

The calculator uses the centrifugal pump capacity equation:

\[ Q = \frac{\pi \times D^2 \times n \times H}{4 \times g} \]

Where:

\( Q \) — Flow rate (m³/s)
\( D \) — Impeller diameter (m)
\( n \) — Rotational speed (rev/s)
\( H \) — Head (m)
\( g \) — Acceleration due to gravity (9.81 m/s²)

Explanation: The equation relates the pump's physical characteristics to its output capacity, accounting for the energy imparted to the fluid by the rotating impeller.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculation is essential for proper pump selection, system design, and ensuring the pump meets the required performance specifications for a given application.

4. Using the Calculator

Tips: Enter impeller diameter in meters, rotational speed in revolutions per second, and head in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is pump head (H)?
A: Pump head is the height to which the pump can raise a column of liquid, expressed in meters. It represents the energy imparted to the fluid by the pump.

Q2: How does impeller diameter affect flow rate?
A: Flow rate is proportional to the square of the impeller diameter. Doubling the diameter quadruples the flow rate, all else being equal.

Q3: What are typical rotational speeds for centrifugal pumps?
A: Common speeds range from 1200-3600 rpm (20-60 rev/s) for electric motor-driven pumps, depending on power supply frequency and motor poles.

Q4: Are there limitations to this formula?
A: This is a theoretical formula. Actual flow rates may differ due to factors like pump efficiency, system resistance, and fluid properties.

Q5: How can I convert the flow rate to other units?
A: 1 m³/s = 1000 L/s = 3600 m³/h = 15850.3 gallons per minute (GPM). Use appropriate conversion factors for your needs.