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Calculate Water Flow Through Pipe

Water Flow Formula:

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

meters
Pa
Pa·s
meters

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1. What is Water Flow Through Pipe Calculator?

Definition: This calculator estimates the volumetric flow rate of water through a pipe using the Hagen-Poiseuille equation.

Purpose: It helps engineers, plumbers, and fluid dynamics students determine the flow rate in laminar flow conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The flow rate is directly proportional to the pressure difference and the fourth power of the radius, and inversely proportional to viscosity and pipe length.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate estimation ensures proper pipe sizing, efficient system design, and meets water supply requirements.

4. Using the Calculator

Tips: Enter pipe radius in meters, pressure difference in Pascals, dynamic viscosity (default 0.001002 Pa·s for water at 20°C), and pipe length in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What flow regime does this equation apply to?
A: The Hagen-Poiseuille equation applies only to laminar flow (Re < 2000).

Q2: What's the typical viscosity of water?
A: At 20°C, water has a viscosity of about 0.001002 Pa·s. This decreases with temperature.

Q3: How does pipe radius affect flow rate?
A: Flow rate is proportional to the fourth power of radius - doubling radius increases flow 16 times!

Q4: What units should I use?
A: Use consistent SI units: meters for dimensions, Pascals for pressure, and Pa·s for viscosity.

Q5: Can I use this for other fluids?
A: Yes, but you must know the fluid's viscosity and ensure flow remains laminar.

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