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Power Calculation for Pump Control

Pump Power Equation:

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

kg/m³
m³/s
m
(0-1)

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1. What is Pump Power Calculation?

The pump power calculation determines the required power to move a fluid at a specified flow rate against a given head (pressure) while accounting for system efficiency. It's essential for proper pump selection and energy management.

2. How Does the Calculator Work?

The calculator uses the pump power equation:

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

Where:

Explanation: The equation calculates the hydraulic power required to move the fluid, then divides by the pump efficiency to get actual power input.

3. Importance of Power Calculation

Details: Accurate power calculation ensures proper pump sizing, prevents energy waste, and helps in selecting appropriate motors and electrical systems.

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 (0.7 for 70%). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical pump efficiency value?
A: Centrifugal pumps typically range 40-85% efficiency, with larger pumps generally more efficient.

Q2: How do I convert flow rate from L/s to m³/s?
A: Divide L/s by 1000 (1 L/s = 0.001 m³/s).

Q3: What if my head is in pressure units (bar, psi)?
A: Convert pressure to head: \( H = \frac{P}{\rho \times g} \), where P is pressure in Pascals.

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

Q5: How does viscosity affect the calculation?
A: High viscosity reduces pump efficiency and may require a derating factor not accounted for in this basic calculation.

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