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Calculate Flow Velocity from Pressure

Flow Velocity Formula:

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

Pa
kg/m³

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1. What is Flow Velocity from Pressure?

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

Purpose: It helps engineers and physicists determine the speed of fluid flow in pipes, channels, or other systems where pressure measurements are available.

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 are essential for designing fluid systems, predicting flow rates, and ensuring proper system operation.

4. Using the Calculator

Tips: Enter the pressure difference in Pascals and fluid density (default 1.225 kg/m³ for air at sea level). 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 height difference and no energy losses.

Q2: What's a typical fluid density for water?
A: Water at 20°C has a density of about 998 kg/m³.

Q3: When would this calculation not be accurate?
A: For compressible fluids, viscous flows, or systems with significant friction losses.

Q4: How do I convert other pressure units to Pascals?
A: 1 atm = 101325 Pa, 1 bar = 100000 Pa, 1 psi ≈ 6894.76 Pa.

Q5: Can this be used for gas flow?
A: Only for low-speed gas flows where compressibility effects are negligible.

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