Water Flow Formula:
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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.
The calculator uses the formula:
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.
Details: Accurate flow rate estimation ensures proper pipe sizing, efficient system design, and meets water supply requirements.
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.
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.