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Velocity Calculator by Pressure and Area

Velocity Formula:

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

Pa
kg/m³

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1. What is a Velocity Calculator by Pressure and Area?

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

Purpose: It helps engineers and physicists determine fluid flow velocity in various applications like aerodynamics, hydraulics, and HVAC systems.

2. How Does the Calculator Work?

The calculator uses the simplified Bernoulli equation:

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

Where:

Explanation: The equation relates the velocity of a fluid to the pressure difference and the fluid's density, assuming steady, incompressible, frictionless flow along a streamline.

3. Importance of Velocity Calculation

Details: Accurate velocity calculations are crucial for designing efficient fluid systems, predicting flow behavior, and ensuring safety in engineering applications.

4. Using the Calculator

Tips: Enter the pressure difference in Pascals and fluid density in kg/m³ (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 calculation make?
A: It assumes steady, incompressible, inviscid (frictionless) flow along a streamline with no significant height changes.

Q2: What's a typical air density value?
A: At sea level and 15°C, air density is approximately 1.225 kg/m³.

Q3: When would this calculation not be accurate?
A: For compressible flows (high speeds), viscous flows, or when there are significant elevation changes.

Q4: How is pressure difference measured?
A: Typically using manometers or pressure transducers comparing static pressures at two points in the flow.

Q5: Can this be used for water flow?
A: Yes, but remember water density is about 1000 kg/m³, and viscosity effects may need consideration.

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