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How to Calculate Pressure from Flow Rate

Pressure Drop Formula:

\[ \Delta P = \frac{8 \times \mu \times L \times Q}{\pi \times r^4} \]

Pa·s
m
m³/s
m

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1. What is Pressure Drop Calculation from Flow Rate?

Definition: This calculator determines the pressure drop in a pipe based on fluid flow rate, pipe dimensions, and fluid viscosity.

Purpose: It helps engineers and fluid system designers analyze pipe systems and ensure proper fluid transport.

2. How Does the Calculator Work?

The calculator uses the Hagen-Poiseuille equation:

\[ \Delta P = \frac{8 \times \mu \times L \times Q}{\pi \times r^4} \]

Where:

Explanation: The equation relates pressure drop to flow characteristics in laminar flow through a circular pipe.

3. Importance of Pressure Drop Calculation

Details: Accurate pressure drop calculations are essential for designing efficient piping systems, selecting proper pumps, and ensuring system performance.

4. Using the Calculator

Tips: Enter the fluid viscosity, pipe length, flow rate, and pipe radius. All values must be > 0. Note that this applies to laminar flow conditions only.

5. Frequently Asked Questions (FAQ)

Q1: What is dynamic viscosity?
A: A measure of a fluid's resistance to flow. Water at 20°C has μ ≈ 0.001 Pa·s.

Q2: Does this work for any pipe shape?
A: No, this formula is specifically for circular pipes. Other shapes require different calculations.

Q3: What flow regime does this apply to?
A: This is valid for laminar flow (Re < 2100). Turbulent flow requires different equations.

Q4: How does pipe radius affect pressure drop?
A: Pressure drop is inversely proportional to r⁴, so small radius changes have large effects.

Q5: What are typical units for these calculations?
A: SI units are used (Pa, m, s). Convert other units before calculation.

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