FB Bombas industrial facility in Cabreúva-SP, Brazil
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ENGINEERING TOOL

Pipe Head Loss Calculator

Calculate the head loss of your piping by Darcy-Weisbach or Hazen-Williams, with fitting localized loss and a velocity verdict. Validated physics (Colebrook-White, Crane, IAPWS) crossed with the real flanges of FB Bombas centrifugal pumps.

TL;DR

  • Head loss is the energy lost to friction in flow, in meters of head. It splits into distributed (straight pipe) and localized (fittings).

  • Darcy-Weisbach (h_f = f·L/D·v²/2g) is universal — water or viscous fluid. Hazen-Williams (h = 10.67·L·Q^1.852/(C^1.852·D^4.87)) is water-only.

  • Suction loss reduces available NPSH meter by meter: poorly sized suction is the #1 cause of cavitation. Keep ≤ 1.5 m/s with water.

  • The calculator crosses the physics with the real suction flanges of FB Bombas’ FBCN series: DN 32 to 200 mm.

Updated

Quick answer
  1. How do I use this head loss calculator?

    Choose the method (Darcy-Weisbach for any fluid, or Hazen-Williams for water), enter the flow, internal diameter, straight length, material and line fittings. The calculator returns velocity, Reynolds number, friction factor, distributed loss, localized loss and total — all in real time, with a velocity verdict against FB Bombas recommendations.

  2. Which method: Darcy-Weisbach or Hazen-Williams?

    Use Darcy-Weisbach when the fluid is not water, when temperature varies, or when you need rigor across any flow regime — it accounts for viscosity via the Reynolds number. Use Hazen-Williams for water at ordinary temperature in turbulent flow, when you want a quick estimate without iterating the friction factor. For critical pump suction, always prefer Darcy-Weisbach.

Calculate the head loss

Enter flow, diameter, material and fittings. The calculation is instant and shows velocity, Reynolds, friction factor and each loss term.

Fittings (localized loss)total ΣK: 0.00
quantity of each — ΣK is summed automatically
90° long-radius elbow (K=0.3)
0
90° short-radius elbow (K=0.9)
0
45° elbow (K=0.2)
0
Tee, straight-through (K=0.3)
0
Tee, branch (K=1.5)
0
Gate valve, open (K=0.2)
0
Globe valve, open (K=6.0)
0
Check valve (K=2.5)
0
Butterfly valve (K=0.3)
0
Concentric reducer (K=0.5)
0
Y-strainer (clean) (K=2.5)
0
Sharp-edged entry (K=0.5)
0
Total head loss
0.60 m
High velocity1.77 m/s

Above the recommended range. Consider a larger diameter to cut loss and noise.

FB recommended (Suction): 1.5 m/s
Velocity1.77 m/s
Reynolds176,240
RegimeTurbulent
Friction factor f0.0189
Distributed loss (pipe)0.60 m
Localized loss (fittings)0.00 m
Loss per 100 m of pipe3.01 m
Total loss0.60 m
FB Bombas centrifugal pumps

FBCN series suction (ASME B73.1 normalized) uses DN 32, 40, 50, 65, 80, 100, 125, 150, 200 mm flanges. Size the pipe with diameter ≥ the flange and velocity within the recommended range.

See the FBCN series

Darcy-Weisbach with Swamee-Jain (Colebrook-White) factor or Hazen-Williams (10.67, SI). Roughness ε per Crane TP-410, viscosity per IAPWS, K per handbook.

The head loss formulas

Total head loss is the sum of distributed loss (friction along the straight pipe) and localized loss (fittings). The distributed part is computed by Darcy-Weisbach — universal, for any fluid — or by Hazen-Williams — empirical, water only. The localized part uses the K coefficient method.

Darcy-Weisbach (distributed, universal)
h_f = f · (L/D) · v²/(2g)

f = 64/Re (laminar) or Swamee-Jain/Colebrook-White (turbulent). Valid for any fluid.

Hazen-Williams (distributed, water only)
h = 10,67 · L · Q^1,852 / (C^1,852 · D^4,87)

Q in m³/s, D and L in m. Empirical, no viscosity. Water at ordinary temperature only.

Localized loss (fittings)
h = ΣK · v²/(2g)

ΣK is the sum of the K coefficients of the line’s bends, valves, tees, reducers and strainers.

Roughness and coefficient by material

In turbulent flow, the Darcy friction factor depends on the pipe absolute roughness ε; in the Hazen-Williams method, on the C coefficient. Both worsen (more loss) with aging and scaling. New-pipe values (Crane TP-410 / EngineeringToolbox):

MaterialRoughness ε (mm)C coefficient
PVC / plastic0.0015150
Stainless steel0.0150140
Commercial steel (new)0.0450140
Galvanized steel0.15120
Asphalted cast iron0.12130
Cast iron0.26130
Concrete1.00130

Localized loss K coefficients

Each fitting in the line adds loss proportional to K·v²/2g. Sum the K of all fittings and enter it in the calculator. Typical design values (Crane TP-410 / handbook):

FittingK coefficient
90° long-radius elbow0.3
90° short-radius elbow0.9
45° elbow0.2
Tee, straight-through0.3
Tee, branch1.5
Gate valve, open0.2
Globe valve, open6.0
Check valve2.5
Butterfly valve0.3
Concentric reducer0.5
Y-strainer (clean)2.5
Sharp-edged entry0.5

Recommended FB velocities

Velocity sizes the diameter and governs head loss (which grows with v²). FB Bombas recommends always keeping the suction generous — low velocity preserves NPSH and prevents cavitation:

LineFluidRecommended max. velocity
SuctionWater1.5 m/s
SuctionViscous0.5 m/s
DischargeWater3.0 m/s
DischargeViscous1.5 m/s
Complete the NPSH calculation

The suction head loss you calculated here goes straight into the NPSH available formula. Take the result to the NPSH Calculator and check the margin against cavitation.

Open the NPSH Calculator

Frequently Asked Questions

What is head loss in piping?

Head loss is the energy a fluid loses as it flows through piping, from friction with the pipe walls and from disturbances at bends, valves, and reducers. It is measured in meters of liquid column. It splits into distributed loss (along the straight pipe) and localized loss (at the fittings). It is unavoidable — there is no frictionless piping — but it is minimized with correct diameter and routing design.

How is head loss calculated?

Distributed loss is calculated by the Darcy-Weisbach equation: h_f = f · (L/D) · v²/(2g), where f is the friction factor, L the length, D the internal diameter, v the velocity, and g gravity. The factor f comes from 64/Re in laminar flow and from the Colebrook-White equation (approximated explicitly by Swamee-Jain) in turbulent flow. Localized loss from fittings is h = ΣK · v²/(2g). The calculator sums both.

What is the difference between Darcy-Weisbach and Hazen-Williams?

Darcy-Weisbach is physical and universal: it holds for any fluid and any regime (laminar or turbulent), because it accounts for viscosity through the Reynolds number — it is the correct method for oils and viscous fluids. Hazen-Williams is empirical and simpler (no need to iterate the friction factor), but valid only for water at ordinary temperature, in turbulent flow, using the material’s C coefficient. For critical suction design, use Darcy-Weisbach.

What is the recommended maximum velocity at a pump suction?

FB Bombas recommends a maximum velocity of 1.5 m/s at the suction of FBCN centrifugal pumps with water, and 0.5 m/s at the suction of FBE gear pumps with viscous fluids. High suction velocity increases head loss (which grows with the square of velocity), reduces available NPSH, and promotes cavitation. On the discharge, the typical economic range is 1 to 3 m/s for water. The rule of thumb: always keep the suction generous.

How does head loss affect NPSH and cavitation?

Head loss in the suction line enters the available NPSH formula as a direct subtraction: NPSHa = P_abs/γ + Z_s − h_f − P_v/γ. Each meter of suction head loss is one meter less of NPSHa. When NPSHa falls below the pump’s NPSHr, cavitation begins — vapor bubbles that collapse and erode the impeller. That is why poorly sized suction is the #1 cause of cavitation in industrial installations.

What is the roughness of the pipes most used in pumping?

The absolute roughness ε (which controls the friction factor in turbulent flow) varies widely with the material: PVC and plastics ~0.0015 mm, stainless steel ~0.015 mm, new commercial steel ~0.045 mm, galvanized steel ~0.15 mm, asphalted cast iron ~0.12 mm, and cast iron ~0.26 mm (Crane TP-410 values, new pipe). Aged and scaled pipes have roughness many times higher — cast iron can reach 0.6–1.2 mm over its service life, raising head loss.

This calculator is an estimation tool. For final sizing — including non-Newtonian fluids, two-phase mixtures, and the exact pump curve point — consult FB Bombas engineering.