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Power Calculation for Pump Design

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 the Pump Power Equation?

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

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 accounts for the energy needed to move a volume of fluid against gravity and system resistance, adjusted for pump efficiency.

3. Importance of Power Calculation

Details: Accurate power calculation ensures proper pump selection, prevents under/over-sizing, optimizes energy consumption, and helps design efficient fluid 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 (e.g., 0.85 for 85%). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical pump efficiency value?
A: Centrifugal pumps typically range 70-90%, while positive displacement pumps can reach 90-95%. Always consult manufacturer data.

Q2: How do I convert flow rate from L/s to m³/s?
A: Divide by 1000 (1 L/s = 0.001 m³/s). For m³/h to m³/s, divide by 3600.

Q3: What affects pump efficiency?
A: Pump type, size, operating point relative to BEP (best efficiency point), wear, and fluid viscosity all impact efficiency.

Q4: Should I add a safety factor?
A: Yes, typically 10-20% additional power capacity is recommended for system uncertainties and future demands.

Q5: How does viscosity affect power requirements?
A: Higher viscosity fluids require more power due to increased friction losses. Special corrections are needed for viscous fluids.

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