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Flow Rate Calculator from Pressure (Bernoulli's Equation)

Flow Rate Formula:

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

Pa
kg/m³

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1. What is Flow Rate from Pressure Calculator?

Definition: This calculator determines volumetric flow rate through an orifice or pipe using Bernoulli's equation based on pressure difference.

Purpose: It helps engineers and technicians calculate fluid flow rates in piping systems, ventilation, and hydraulic applications.

2. How Does the Calculator Work?

The calculator uses Bernoulli's simplified equation:

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

Where:

Explanation: The flow rate is proportional to the square root of the pressure difference and inversely proportional to the square root of fluid density.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculations are essential for designing piping systems, HVAC systems, and process control in industrial applications.

4. Using the Calculator

Tips: Enter the cross-sectional area (πr² for circular pipes), pressure difference, and fluid density (default 1000 kg/m³ for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this calculation make?
A: It assumes incompressible, inviscid flow with no friction losses and a single flow path (Bernoulli's equation assumptions).

Q2: How do I calculate area for a circular pipe?
A: Use \( A = \pi r^2 \) where r is the pipe radius. For diameter D, use \( A = \pi (D/2)^2 \).

Q3: What's a typical water density value?
A: Pure water at 4°C is 1000 kg/m³. For other temperatures or fluids, consult density tables.

Q4: Can I use this for gases?
A: Only for low-pressure differences where gas compressibility is negligible. For significant pressure changes, use compressible flow equations.

Q5: How accurate is this calculation?
A: It provides theoretical maximum flow. Real systems will have lower flow due to friction, viscosity, and other losses.

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