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Hydraulics

H-100Pipe Sizing and Head Loss

The pipe is sized from velocity, never from the pump. Choose the bore so the water moves at a sensible speed, work out what that costs you in friction, and only then go looking for a pump.

Cutaway — Pipe Sizing and Head Loss
LiquidAir / gasSolidsProductWaste

How it works

  1. size on velocity — Pick the bore from the velocity you want, not from the pump you happen to have. Below about 0.9 m/s solids drop out and settle in the invert; above 2.5 m/s you are paying for friction and inviting erosion and water hammer. Everything else follows from that choice.
  2. flow regime — Reynolds number decides which physics applies. Below 2300 the flow is laminar and the profile is a clean parabola. Above 4000 it is turbulent, the profile goes blunt, and mixing keeps solids suspended. The band between is unstable — never design into it deliberately.
  3. friction along the run — Darcy–Weisbach gives the distributed loss: h = f (L/D) v²/2g. The friction factor comes from Reynolds and relative roughness through Colebrook–White, or the Swamee–Jain fit. Note the v² term — double the velocity and the friction quadruples.
  4. minor losses — Every bend, valve and reducer costs a multiple of the velocity head. On a long transfer main these are genuinely minor. On a short, fitting-dense skid they routinely exceed the straight-run friction — and on a pump suction they are what pushes you into cavitation. Wind Σ K up and watch the split.
  5. what governs it — Velocity sets the diameter; diameter sets the friction; friction sets the pump. Go one size down and you save on pipe and pay for it every hour the pump runs, because the head loss goes with v² and 1/D⁵. That trade is the whole of pipe sizing.

Design parameters

The panel opposite runs the same correlations as the H-100 design sheet, so the animation and the calculator cannot disagree. Drag any of them and the picture responds.

  • Flow — m³/h
  • Internal diameter — mm
  • Developed length — m
  • Roughness — mm
  • Σ K, fittings — –
  • Temperature — °C

Open the full H-100 design sheet for the governing equations, the accepted design envelopes and the worked calculation.

Live parameters

Same correlations as the design sheet.