1. What is the Pump Power Formula?

The pump power formula calculates the power required by a pump to move fluid at a specified flow rate against a given head, accounting for the pump's efficiency. It's fundamental in hydraulic engineering and pump system design.

2. How Does the Calculator Work?

The calculator uses the pump power formula:

Where:

• \( P \) — Pump power (watts)
• \( \gamma \) — Specific weight of fluid (N/m³)
• \( Q \) — Flow rate (m³/s)
• \( H \) — Total dynamic head (m)
• \( \text{Efficiency} \) — Pump efficiency (decimal 0-1)

Explanation: The formula calculates the theoretical power required to move the fluid, then divides by the pump's efficiency to get actual power requirement.

3. Importance of Pump Power Calculation

Details: Accurate pump power calculation is essential for proper pump selection, energy consumption estimation, and electrical system design in pumping applications.

4. Using the Calculator

Tips: Enter all values in the specified units. Typical water γ is 9810 N/m³. Efficiency typically ranges 0.7-0.9 for centrifugal pumps.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between brake power and water power?
A: Water power is γQH (theoretical), while brake power (this calculation) includes efficiency losses.

Q2: How does viscosity affect pump power?
A: Higher viscosity fluids require more power and may reduce pump efficiency.

Q3: What's a typical efficiency value for pumps?
A: Centrifugal pumps typically range 70-90% efficiency at best efficiency point.

Q4: How do I account for motor efficiency?
A: Divide pump power by motor efficiency to get electrical power requirement.

Q5: What units should I use for imperial calculations?
A: For imperial units: γ in lb/ft³, Q in ft³/s, H in ft - result will be in ft-lb/s (1 HP = 550 ft-lb/s).