Differential Pressure to Velocity Calculator

Velocity Formula:

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

Velocity (V): m/s

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1. What is a Differential Pressure to Velocity Calculator?

Definition: This calculator converts differential pressure to fluid velocity using Bernoulli's principle.

Purpose: It helps engineers and technicians determine fluid flow velocity based on pressure measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( V \) — Fluid velocity (meters/second)
\( \Delta P \) — Differential pressure (Pascals)
\( \rho \) — Fluid density (kg/m³)

Explanation: The formula is derived from Bernoulli's equation for incompressible, inviscid flow.

3. Importance of Velocity Calculation

Details: Accurate velocity calculations are essential for HVAC systems, aerodynamics, hydraulics, and any application involving fluid flow measurement.

4. Using the Calculator

Tips: Enter the differential pressure in Pascals and fluid density in kg/m³ (default 1.225 for air at sea level). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is differential pressure?
A: The difference in pressure between two points in a fluid system, often measured across an obstruction like a pitot tube or orifice plate.

Q2: What's a typical fluid density for air?
A: Air at sea level and 15°C has a density of about 1.225 kg/m³, but this varies with altitude and temperature.

Q3: When is this formula not applicable?
A: For compressible flows (Mach > 0.3), viscous fluids, or when significant elevation changes are involved.

Q4: How accurate is this calculation?
A: It provides theoretical velocity. Real-world values may differ due to friction, turbulence, and measurement errors.

Q5: Can I use this for liquid flows?
A: Yes, but be sure to use the correct density for your liquid (e.g., ~1000 kg/m³ for water).