Drainage and Utilities Help

Pipe Average Velocity

Last updated: October 30, 2023

Several common methods for computing a pipe's average velocity are available:
  • Uniform Flow Velocity
  • Full Flow Velocity
  • Full Depth Velocity
  • Simple Average Velocity
  • Weighted Average Velocity

Of these, two - Uniform Flow Velocity and Full Flow Velocity - are of interest to UK Engineers.

Uniform Flow Velocity

The uniform flow velocity of a pipe is obtained by calculating the velocity in the pipe at normal depth. Under surcharged conditions (Q > Q max), the surcharged velocity is used instead. In the case of converging top pipes, under partially filled flow conditions and two normal depth roots exist, the larger normal depth conjugate depth is used to compute the uniform flow average velocity.

Full Flow Velocity

The full flow velocity corresponds to the velocity when the pipe is flowing full. The flow area is equal to the entire cross-sectional area of the pipe.

Simple Average Velocity

The simple average velocity is computed by:

The Simple Average Velocity method does not account for any depth changes between the two ends of the pipe as the weighted average velocity method does.

Weighted Average Velocity

To compute the weighted average velocity, the simple average velocity of each profile segment is considered and given a weight based on its length:

  • Va =Average velocity for the pipe (m/s, ft/s)
  • Vui =Upstream velocity for segment i (m/s, ft/s)
  • Vdi =Downstream velocity for segment i (m/s, ft/s)
  • Li =Length of the profile segment i (m, ft)
  • Lt =Total length of the pipe (m, ft)

Pipe Average Velocity and Travel Time

The travel time through each pipe is computed as:

t = L / V

Where:
  • t = time of travel through the pipe (s)
  • V = Average velocity through the pipe (m/s)
  • L = Length of pipe (m)