Pipe Flow Calculator

Calculate flow velocity, flow rate, and Reynolds number for fluid flowing through a pipe. Determine whether flow is laminar or turbulent using the Darcy-Weisbach equation.

FLOW RATE
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Flow Rate (L/min)
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Reynolds Number
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Flow Regime
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Pressure Drop/m
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Pipe Flow Basics

Pipe flow is the study of fluid moving through closed conduits (pipes, tubes, ducts). The flow behavior depends on velocity, pipe diameter, fluid density, and viscosity. These factors combine into the Reynolds number, which determines whether flow is laminar (smooth, orderly) or turbulent (chaotic, mixing). Understanding pipe flow is essential for plumbing, HVAC, chemical processing, and hydraulic systems.

The Darcy-Weisbach equation relates pressure drop to flow conditions and pipe characteristics. For laminar flow, the friction factor has an exact analytical solution. For turbulent flow, empirical correlations (Moody chart, Colebrook equation) are used. This calculator provides key flow parameters for quick engineering estimates.

Key Equations

Q = A × v = (πD²/4) × v
Re = ρvD/μ
ΔP/L = f × (1/D) × (½ρv²)

Reynolds Number Ranges

Re RangeFlow RegimeCharacteristics
< 2,300LaminarSmooth, predictable, f=64/Re
2,300-4,000TransitionIntermittent turbulence
> 4,000TurbulentChaotic, high mixing, high friction

Frequently Asked Questions

How does pipe roughness affect flow?

Surface roughness has no effect on laminar flow friction factor. In turbulent flow, roughness increases friction significantly. The relative roughness (roughness height/diameter) determines friction factor via the Moody chart. Smooth pipes (drawn copper, plastic) have much lower friction than rough pipes (cast iron, concrete).

What is the maximum flow velocity in practice?

Typical design velocities are 1-3 m/s for water in buildings, up to 5 m/s in mains, and 15-30 m/s for gas. Higher velocities cause noise, erosion, water hammer, and excessive pressure drop. The economic velocity balances pipe cost (larger pipe = more expensive) against pumping cost (smaller pipe = more pressure drop).