Turbulent Pipe Flow Calculator

Length:
m
Kinematic Viscosity:
m2 s-1
Nikuradse Roughness:
m
Minor Loss Co-efficient:
m

(Enter any two of below values-Daimeter,
Head loss or Quantity of flow and calculate other values)

Darcy Friction Factor λ:
Diameter:
m
Head Loss:
m
Quantity of Flow:
m

To calculate turbulent pipe flow, we can use the Darcy-Weisbach equation for head loss in pipes:

Where:

  • is the head loss (meters or feet)
  • is the Darcy friction factor (dimensionless)
  • is the length of the pipe (meters or feet)
  • is the velocity of the fluid (meters per second or feet per second)
  • is the acceleration due to gravity (9.81 m/s² or 32.2 ft/s²)
  • is the diameter of the pipe (meters or feet)

Friction Factor Calculation

For turbulent flow, the friction factor f can be calculated using the Colebrook-White equation, which is implicit:

Where:

  • is the roughness of the pipe (meters or feet)
  • is the diameter of the pipe (meters or feet)
  • is the Reynolds number (dimensionless)

Reynolds Number Calculation

The Reynolds number ReRe is calculated using the following formula:

Where:

  • is the density of the fluid (kg/m³ or lb/ft³)
  • is the velocity of the fluid (m/s or ft/s)
  • is the diameter of the pipe (m or ft)
  • is the dynamic viscosity of the fluid (kg/(m·s) or lb/(ft·s))