Flow Rate Calculator Using Pressure

Bernoulli Simplified Equation:

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

Flow Rate (Q):

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1. What is the Bernoulli Simplified Equation?

The Bernoulli simplified equation estimates flow rate from pressure drop in pipes and fluid systems. It is derived from the Bernoulli principle and provides a fundamental relationship between flow rate, cross-sectional area, pressure difference, and fluid density.

2. How Does the Calculator Work?

The calculator uses the Bernoulli simplified equation:

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

Where:

\( Q \) — Flow rate (m³/s)
\( A \) — Cross-sectional area (m²)
\( \Delta P \) — Pressure drop (Pa)
\( \rho \) — Fluid density (kg/m³)

Explanation: The equation shows that flow rate is proportional to the cross-sectional area and the square root of the pressure drop divided by fluid density.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculation is crucial for designing piping systems, optimizing fluid transport, calculating pump requirements, and ensuring efficient operation of hydraulic systems.

4. Using the Calculator

Tips: Enter cross-sectional area in square meters, pressure drop in Pascals, and fluid density in kg/m³. All values must be positive and non-zero for accurate calculations.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this equation make?
A: The equation assumes incompressible flow, no friction losses, steady flow conditions, and no changes in elevation.

Q2: When is this equation most accurate?
A: This equation works best for ideal fluids in short, straight pipes with minimal friction losses and turbulent flow conditions.

Q3: What are typical flow rate values?
A: Flow rates vary widely depending on application - from milliliters per second in laboratory settings to cubic meters per second in industrial pipelines.

Q4: How does pipe diameter affect flow rate?
A: Flow rate increases with the square of the pipe diameter, making diameter the most significant factor in determining flow capacity.

Q5: When should more complex equations be used?
A: For long pipes with significant friction losses, compressible fluids, or systems with multiple components, more comprehensive fluid dynamics equations should be used.