Pipe Diameter Formula:
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Definition: This calculator determines the optimal pipe diameter needed for a given water flow based on fluid viscosity, pipe length, flow rate, and allowable pressure drop.
Purpose: It helps engineers and plumbers design efficient piping systems that minimize pressure loss while maintaining desired flow rates.
The calculator uses the Hagen-Poiseuille equation:
Where:
Explanation: The formula calculates the minimum pipe diameter needed to achieve the desired flow rate with the specified pressure drop.
Details: Proper pipe sizing ensures efficient fluid transport, minimizes energy costs, prevents excessive pressure drops, and avoids pipe erosion.
Tips: Enter the fluid viscosity (default 0.001002 Pa·s for water at 20°C), pipe length, desired flow rate, and maximum allowable pressure drop. All values must be > 0.
Q1: What's the typical viscosity of water?
A: Water at 20°C has a viscosity of about 0.001002 Pa·s. This increases at lower temperatures and decreases at higher temperatures.
Q2: How does pipe length affect diameter?
A: Longer pipes require larger diameters to maintain the same pressure drop for a given flow rate.
Q3: What's a reasonable pressure drop?
A: For water systems, typical pressure drops range from 100-500 Pa/m, depending on application requirements.
Q4: Does this work for gases?
A: This calculator is designed for incompressible fluids (liquids). Gas flow requires different calculations accounting for compressibility.
Q5: Should I round up the calculated diameter?
A: Yes, always select the next available standard pipe size larger than your calculated diameter.