Pressure Drop Formula (Hagen-Poiseuille Equation):
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Definition: This calculator estimates the pressure loss in a pipe system using the Hagen-Poiseuille equation for laminar flow.
Purpose: It helps engineers and technicians determine the pressure difference needed to maintain a specific flow rate through a pipe.
The calculator uses the Hagen-Poiseuille equation:
Where:
Explanation: The equation shows that pressure drop is directly proportional to viscosity, pipe length, and flow rate, but inversely proportional to the fourth power of the pipe radius.
Details: Proper pressure drop estimation ensures adequate pump sizing, system efficiency, and proper fluid flow in piping systems.
Tips: Enter fluid viscosity (default 0.001 Pa·s for water at 20°C), pipe length, flow rate, and pipe radius. All values must be > 0.
Q1: What viscosity value should I use for water?
A: Water at 20°C has viscosity of about 0.001 Pa·s. For other fluids or temperatures, consult viscosity tables.
Q2: Does this work for turbulent flow?
A: No, this equation is for laminar flow only. For turbulent flow, use the Darcy-Weisbach equation.
Q3: How do I convert GPM to m³/s?
A: 1 GPM = 6.309 × 10⁻⁵ m³/s. Multiply GPM by this factor before entering.
Q4: How do I convert pipe diameter to radius?
A: Radius = Diameter / 2. Ensure consistent units (meters for this calculator).
Q5: Why is radius to the fourth power so important?
A: Small changes in pipe diameter have dramatic effects on pressure drop due to this relationship.