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How to Calculate Velocity from Pressure (Bernoulli)

Velocity Formula (Bernoulli's Equation):

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

Pa
kg/m³
m/s

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1. What is Velocity from Pressure Calculation?

Definition: This calculator determines fluid velocity based on pressure difference using Bernoulli's principle.

Purpose: It helps engineers and physicists analyze fluid flow in pipes, ventilation systems, and aerodynamics.

2. How Does the Calculator Work?

The calculator uses Bernoulli's simplified equation:

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

Where:

Explanation: The equation relates pressure energy to kinetic energy in a moving fluid, assuming steady, incompressible, frictionless flow.

3. Importance of Velocity Calculation

Details: Accurate velocity estimation is crucial for designing piping systems, HVAC systems, and understanding fluid dynamics in various engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What are the limitations of this equation?
A: It assumes ideal conditions - no viscosity, steady flow, incompressible fluid, and no height differences.

Q2: What's a typical density for water?
A: Water at standard conditions is about 1000 kg/m³, but this varies with temperature and impurities.

Q3: How do I measure pressure difference?
A: Use manometers or pressure gauges at two points in the flow system.

Q4: Can I use this for gases?
A: Only for low-speed gas flows where compressibility effects are negligible (Mach number < 0.3).

Q5: What if my fluid is viscous?
A: You'll need to account for friction losses using more complex equations like Darcy-Weisbach.

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