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How to Calculate Pump Head (Bernoulli)

Pump Head Formula (Bernoulli's Equation):

\[ h = \frac{v^2}{2g} + z + \frac{P}{\rho g} \]

m/s
m
Pa
kg/m³
m

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1. What is Pump Head Calculation?

Definition: Pump head is the height to which a pump can raise a fluid, calculated using Bernoulli's equation that accounts for velocity, elevation, and pressure energy.

Purpose: This calculation is essential for designing pumping systems, selecting appropriate pumps, and ensuring proper fluid flow in pipelines.

2. How Does the Calculator Work?

The calculator uses Bernoulli's equation:

\[ h = \frac{v^2}{2g} + z + \frac{P}{\rho g} \]

Where:

Explanation: The equation sums three components: velocity head (kinetic energy), elevation head (potential energy), and pressure head.

3. Importance of Pump Head Calculation

Details: Accurate pump head calculation ensures proper pump selection, prevents cavitation, and maintains desired flow rates in piping systems.

4. Using the Calculator

Tips: Enter fluid velocity, elevation difference, pressure, and fluid density (default 1000 kg/m³ for water). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the typical density for water?
A: Pure water at 4°C has a density of 1000 kg/m³. For other fluids, consult density tables.

Q2: How do I measure fluid velocity?
A: Velocity can be calculated from flow rate (Q) and pipe diameter: \( v = Q/A \), where A is cross-sectional area.

Q3: What units should I use for pressure?
A: The calculator uses Pascals (Pa). 1 bar = 100,000 Pa, 1 psi ≈ 6895 Pa.

Q4: Does this include friction losses?
A: No, this is the theoretical head. For practical applications, add friction losses from pipe roughness and fittings.

Q5: Why is gravitational acceleration constant?
A: Standard gravity (9.81 m/s²) is used for most engineering calculations unless extreme precision is needed.

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