Darcy Friction Loss

Compute Darcy friction head loss hf from f, length L, dia. D and velocity v.

Inputs

Formula

hf = f·(L/D)·v²/(2g), g=9.81
Get f from the Moody chart or Colebrook.
h_ffriction loss
Darcy Friction Loss schematic

Fundamentals

Compute Darcy friction head loss hf from f, length L, dia. D and velocity v.

This tool computes Darcy Friction Loss from the formula: hf = f·(L/D)·v²/(2g), g=9.81

History

Fluid mechanics and heat transfer were established in the 18th–19th centuries with steam engines and thermodynamics.

Engineering applications

Used for piping, heat-exchange and hydraulic system estimates.

Glossary

Friction coeff. fInput parameter
Length LInput parameter
Dia. DInput parameter
Head loss hfOutput result

How to use

  1. Fill in Friction coeff. f, Length L, Dia. D, Velocity v in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Head loss hf in the results area.

Formula · Worked Example · Knowledge

Formula

核心计算关系:hf = f·(L/D)·v²/(2g), g=9.81

输入变量:

  • Friction coeff. f f
  • Length L L — m
  • Dia. D D — m
  • Velocity v v — m/s

输出结果:

  • Head loss hf hf — m

假设/适用:Flow formulas assume steady, incompressible, continuous flow; correct for compressible/high-speed.

Worked Example

根据公式 hf = f·(L/D)·v²/(2g), g=9.81,取 Friction coeff. f = 0.02;Length L = 50 m;Dia. D = 0.05 m;Velocity v = 2 m/s。

代入计算得:Head loss hf = 4.077 m。

Key Points

  • Flow formulas assume steady, incompressible, continuous flow; correct for compressible/high-speed.
  • Reynolds Re sets laminar/turbulent; friction f depends on regime & roughness.
  • Energy eqn includes elevation, pressure and velocity heads; keep units as length.

Parameters

Inputs

ParameterSymbolUnitDefault
Friction coeff. ff0.02
Length L (m)Lm50
Dia. D (m)Dm0.05
Velocity v (m/s)vm/s2

Outputs

ResultSymbolUnit
Head loss hfhfm

Applications

  • Pipe flow rate and pressure drop
  • Hydraulic cylinder force/speed design
  • Flow-meter selection and calibration

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: hf = f·(L/D)·v²/(2g), g=9.81
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Pipe flow rate and pressure drop