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Pumping Power Calculator

Pumping Power Formula:

\[ P = \frac{\rho \times g \times Q \times H}{\eta} \]

kg/m³
m³/s
meters
decimal (0-1)

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1. What is Pumping Power?

Pumping power is the energy required to move a fluid through a system against resistance. It depends on the fluid properties, flow rate, elevation or pressure difference (head), and the efficiency of the pump system.

2. How Does the Calculator Work?

The calculator uses the pumping power formula:

\[ P = \frac{\rho \times g \times Q \times H}{\eta} \]

Where:

Explanation: The formula calculates the theoretical power required to move a fluid, accounting for energy losses through the pump efficiency term.

3. Importance of Pumping Power Calculation

Details: Accurate power calculation is essential for proper pump selection, energy consumption estimation, and system design to ensure efficient operation and avoid undersizing or oversizing equipment.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ (water ≈ 1000 kg/m³), flow rate in m³/s, head in meters, and pump efficiency as a decimal (typically 0.7-0.9 for centrifugal pumps). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical pump efficiency value?
A: Centrifugal pumps typically range from 70-90% efficiency (0.7-0.9), while positive displacement pumps can reach 90% or more.

Q2: How do I convert flow rate from L/min to m³/s?
A: Multiply L/min by 0.00001667 (or divide by 60000) to get m³/s.

Q3: What if my head is in pressure units (Pa or bar)?
A: Convert pressure to head: H = P/(ρg), where P is pressure in Pa (1 bar = 100,000 Pa).

Q4: Why is density important in the calculation?
A: Denser fluids require more power to pump at the same flow rate and head because they have more mass to move.

Q5: How does viscosity affect pumping power?
A: Higher viscosity fluids increase friction losses, which is indirectly accounted for in the efficiency term.

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