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Calculate Fluid Velocity Using Pressure

Fluid Velocity Formula:

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

Pa
kg/m³
m/s

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1. What is Fluid Velocity Calculation?

Definition: This calculator estimates the velocity of a fluid based on pressure difference and fluid density.

Purpose: It helps engineers and physicists determine fluid flow speed in various applications like pipelines, aerodynamics, and hydraulics.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula derives from Bernoulli's principle, relating pressure energy to kinetic energy in a moving fluid.

3. Importance of Fluid Velocity Calculation

Details: Accurate velocity calculations are essential for designing efficient fluid systems, predicting flow rates, and ensuring proper system operation.

4. Using the Calculator

Tips: Enter the pressure difference in Pascals and fluid density in kg/m³ (default 1000 for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical density for water?
A: Pure water at 4°C has a density of 1000 kg/m³, which decreases slightly with temperature.

Q2: What pressure units does this use?
A: The calculator uses Pascals (Pa). 1 psi = 6894.76 Pa.

Q3: When is this formula applicable?
A: For incompressible, inviscid flow with no height change and no energy added/lost.

Q4: How does temperature affect the calculation?
A: Temperature affects fluid density. Use the appropriate density for the fluid's temperature.

Q5: What about viscous fluids?
A: This simplified formula doesn't account for viscosity. For viscous flows, additional factors are needed.

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