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How to Calculate Flow Velocity from Pressure

Flow Velocity Formula:

\[ V = \sqrt{\frac{2 \times \Delta P}{\rho}} \]

Pa
kg/m³
m/s

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1. What is Flow Velocity from Pressure Calculation?

Definition: This calculator determines the flow velocity of a fluid based on the pressure difference and fluid density.

Purpose: It's essential for engineers and technicians working with fluid systems to understand flow characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \sqrt{\frac{2 \times \Delta P}{\rho}} \]

Where:

Explanation: The formula derives from Bernoulli's principle, relating pressure energy to kinetic energy in a flowing fluid.

3. Importance of Flow Velocity Calculation

Details: Accurate velocity calculations help in designing piping systems, predicting flow rates, and ensuring proper system operation.

4. Using the Calculator

Tips: Enter the pressure difference in Pascals and fluid density in kg/m³ (default 1000 for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this formula make?
A: It assumes incompressible, inviscid flow with no elevation changes (Bernoulli's equation simplification).

Q2: What's a typical density for water?
A: Pure water at 4°C has a density of 1000 kg/m³, which decreases slightly with temperature.

Q3: Can I use this for gases?
A: Only for low-velocity gas flows where compressibility effects are negligible.

Q4: How does viscosity affect the result?
A: This simplified formula doesn't account for viscosity, which causes real velocities to be lower due to friction.

Q5: What are typical velocity ranges in pipes?
A: Water systems: 1-3 m/s (to prevent erosion and noise), air ducts: 5-10 m/s.

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