Flow Rate Formula:
From: | To: |
Definition: This calculator estimates the volumetric flow rate of water through a pipe using the Hagen-Poiseuille equation.
Purpose: It helps engineers, plumbers, and designers determine water flow rates in pressurized pipe systems.
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 calculations ensure proper system design, adequate water supply, and efficient pipe sizing.
Tips: Enter pipe radius in meters, pressure difference in Pascals, viscosity (default 0.001002 Pa·s for water at 20°C), and pipe length in meters. All values must be > 0.
Q1: What's the viscosity of water?
A: At 20°C, water's dynamic viscosity is approximately 0.001002 Pa·s. This changes with temperature.
Q2: Does this work for any fluid?
A: Yes, but you must use the correct viscosity value for your specific fluid.
Q3: Why does radius have such a large effect?
A: Flow rate depends on r⁴, so doubling the radius increases flow by 16 times (2⁴ = 16).
Q4: What pressure units should I use?
A: The calculator uses Pascals (Pa). 1 psi ≈ 6894.76 Pa, 1 bar = 100,000 Pa.
Q5: Is this for laminar flow only?
A: Yes, this equation is accurate for laminar flow (Re < 2000). For turbulent flow, other equations like Darcy-Weisbach are more appropriate.