Results are for reference only. Check these numbers against other sources before relying on them for a real system design.
Engineering · fluids

Pipe Flow & Pressure Drop

Darcy–Weisbach, the Moody diagram, and what it costs to push a fluid through a pipe.
Darcy–Weisbach · Swamee–Jain
turbulent

Set-up

define the run
20.0 L/s
100 mm
50 m

The Moody diagram

drag the marker along the curve · or use the flow slider
laminar (f = 64/Re) other roughness curves your pipe's curve log–log axes: friction factor f vs Reynolds number Re
Results
Flow detail
Relationships

What drives the pressure drop

amber markers track your current run
Pipe library

Standard sizes & roughness

roughness values are typical references, not certificates
Field notes

How the numbers fit together

Using this tool

How to estimate pressure drop in a pipe

Pushing fluid through a pipe costs energy, lost to friction along the walls. The Darcy–Weisbach equation ties that loss to four things: how fast the fluid moves, how long and wide the pipe is, and how rough its walls are. The friction factor comes off the Moody diagram above — the iconic log–log chart relating friction to the Reynolds number and relative roughness. Drag the operating point to see how your pipe sits on it.

Worked example

Water at 20 °C through 100 mm commercial steel pipe at 20 L/s gives a velocity of about 2.55 m/s and a Reynolds number near 250,000 — firmly turbulent.

The friction factor lands around 0.018, and over 50 m of pipe that's roughly 30 kPa of pressure drop. Step up one pipe size and that figure falls sharply — pressure drop scales with diameter to the fifth power.

Laminar or turbulent — does it matter?

A lot. Below a Reynolds number of ~2,300 flow is laminar and friction follows the clean f = 64/Re law. Above ~4,000 it's turbulent and roughness starts to matter. Most pumped liquid systems are turbulent.

Why is diameter such a big deal?

Because pressure drop scales with 1/D⁵. A small increase in bore dramatically cuts the loss — often the cheapest fix for an under-performing line is simply a larger pipe.

Does this include fittings and valves?

No — this is straight-pipe (major) loss only. Elbows, valves, tees, and entrance/exit effects add "minor losses" that can be significant in a real system and need to be added separately.

What velocity should I aim for?

For water, very roughly 1–2.5 m/s is a common comfortable band — slow enough to limit erosion and noise, fast enough to avoid settling. The tool flags when you're outside typical ranges.