1. What is the Velocity Formula?

The velocity formula \( V = \sqrt{\frac{2 \Delta P}{\rho}} \) calculates the velocity of a fluid based on the pressure difference and fluid density. This equation is derived from Bernoulli's principle and is commonly used in fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the velocity formula:

Where:

• \( V \) — Velocity (m/s)
• \( \Delta P \) — Pressure difference (Pa)
• \( \rho \) — Density (kg/m³)

Explanation: The formula shows that velocity is proportional to the square root of the pressure difference and inversely proportional to the square root of density.

3. Importance of Velocity Calculation

Details: Calculating velocity from pressure difference is crucial in various engineering applications, including pipe flow analysis, aerodynamics, and hydraulic systems design.

4. Using the Calculator

Tips: Enter pressure difference in Pascals (Pa) and density in kg/m³. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Use Pascals (Pa) for pressure difference and kg/m³ for density to get velocity in m/s.

Q2: Can this formula be used for any fluid?
A: Yes, this formula applies to any incompressible fluid where the flow is steady and frictionless.

Q3: What are typical velocity values in practical applications?
A: Velocity values vary widely depending on the application, from less than 1 m/s in some piping systems to supersonic speeds in aerodynamics.

Q4: Are there limitations to this equation?
A: This simplified formula assumes ideal, incompressible flow without friction losses or changes in elevation.

Q5: How does temperature affect the calculation?
A: Temperature affects fluid density, so for accurate results, use density values appropriate for the fluid temperature.