Mechanical

Size a pipe run

Undersize a pipe and you pay for it forever in pumping energy. The relationship is far steeper than most people expect.

4 steps 6 min read 3 tools chained Build

Start with flow and length

20 litres per second through fifty metres of 2-inch steel. The tool works out the velocity, the Reynolds number and the friction factor, then the pressure drop that follows from them.

Flow20 L/s
Pipe2 in steel
Run50 m
Rule of thumbKeep liquid velocity around 1–3 m/s. Below that you are paying for pipe; above it you are paying for pumping and noise.

Go one size up and watch the drop collapse

Pressure drop scales roughly with the fifth power of diameter for a given flow. That is why a single size increase does not shave the loss — it demolishes it.

2 inbaseline drop
3 ina small fraction of it
Scaling≈1/D⁵
Rule of thumbOne pipe size up fixes most pressure problems. It is nearly always cheaper than the pump that would otherwise be needed.

Change the fluid and everything moves

Viscosity drives the friction factor, and it is strongly temperature dependent. Oil at 20 °C and water at 20 °C are not remotely the same problem through the same pipe.

Water at 20 °Cbaseline
Thicker fluidmuch higher drop
Rule of thumbDensity and viscosity are independent. A dense fluid is not necessarily a viscous one — mercury is heavy and runny.

Convert the answer into money

Pressure drop is pumping power, and pumping power is a standing cost. Convert the head loss into kilowatts and run it through the energy tool at your own tariff to see what the undersized pipe costs per year.

Drop→ pump power
Pump power→ kWh/yr
kWh/yr→ money
Rule of thumbPipe is a one-off cost; pumping energy is forever. Size for the life of the installation, not the purchase order.

The fifth power is the whole lesson

Almost every pipe problem is solved by admitting the diameter was too small. Put your own flow and length in and the tool will tell you which side of the line you are on.

Reference only. Stories chain real tools — the numbers shown are worked examples, so check them against your own figures before relying on them.