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Line sizing and pressure drop.

Size a liquid line from standard Schedule 40 pipe and estimate velocity, Reynolds number, friction factor and pressure drop.

Fluid and flow
m³/h
kg/m³
cP

Water at 20 °C is about 1 cP.

mm

About 0.045 mm for new commercial steel.

m

Straight length plus an allowance for fittings and valves.

Pipe and target velocity
m/s
m/s

Typical pump discharge lines are around 1–3 m/s; follow your company guidelines.

Results

Pressure drop1.322 bar / 100 m
Velocity2.57 m/s
Pressure drop over 100 m1.322 bar
Reynolds number134,734
Flow regimeTurbulent
Darcy friction factor0.0211
Diameter for maximum velocity48.6 mm ID
Smallest Sch 40 size within velocity2″

Preliminary estimate for early engineering. Check against your design basis, standards and vendor data.

Method

All Schedule 40 sizes for this flow

SizeID, mmVelocity, m/sΔP, bar/100 mRegime
½″15.828.34663.314Turbulent
¾″20.9316.15151.917Turbulent
1″26.649.9743.193Turbulent
1½″40.894.234.727Turbulent
2″ (within target velocity)52.52.571.322Turbulent
3″ (within target velocity)77.931.160.182Turbulent
4″102.260.680.047Turbulent
6″154.050.30.006Turbulent
8″202.720.170.002Turbulent
10″254.510.110.001Turbulent
12″303.230.080Turbulent

Highlighted rows are within your target velocity range.

How it is calculated

v = Q / (π D² / 4)  ·  Re = ρ v D / μ  ·  ΔP = f (L / D) (ρ v² / 2)

The Darcy friction factor f is 64 / Re in laminar flow. In turbulent flow it comes from the Colebrook–White equation, solved iteratively from a Swamee–Jain starting value:

1 / √f = −2 log10( (ε / D) / 3.7 + 2.51 / (Re √f) )

Inside diameters are ASME B36.10 Schedule 40. The method assumes incompressible flow: use it for liquids, and for gases only where the pressure drop is a small fraction of the inlet pressure.