1. What Is Bernoulli's Equation?

Bernoulli's principle describes the relationship between pressure and velocity in a fluid flow. The equation \( V = \sqrt{\frac{2 \Delta P}{\rho}} \) calculates air velocity from pressure difference, assuming incompressible flow and no energy losses.

2. How Does The Calculator Work?

The calculator uses Bernoulli's equation:

Where:

• \( V \) — Air velocity (m/s)
• \( \Delta P \) — Pressure difference (Pa)
• \( \rho \) — Air density (kg/m³)

Explanation: The equation shows that velocity increases with the square root of pressure difference and decreases with the square root of fluid density.

3. Importance Of Air Velocity Calculation

Details: Calculating air velocity from pressure difference is crucial in HVAC systems, aerodynamics, ventilation design, and fluid dynamics applications where pressure measurements are more accessible than direct velocity measurements.

4. Using The Calculator

Tips: Enter pressure difference in Pascals (Pa) and air density in kg/m³. Standard air density at sea level and 15°C is approximately 1.225 kg/m³. Both values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What are the limitations of this equation?
A: This simplified form assumes incompressible flow, no friction losses, and that the pressure difference is solely converted to kinetic energy.

Q2: When is this equation most accurate?
A: It works best for low-speed air flows (Mach number < 0.3) where air can be considered incompressible.

Q3: How does temperature affect the calculation?
A: Temperature affects air density (ρ). Warmer air is less dense, resulting in higher velocity for the same pressure difference.

Q4: Can this be used for liquids as well?
A: Yes, the equation works for any incompressible fluid when you use the appropriate density value.

Q5: What's the relationship between velocity and pressure?
A: According to Bernoulli's principle, as velocity increases, pressure decreases, and vice versa, for a constant flow energy.