Enter the head and the throat width of the Parshall flume into the calculator to determine the flow rate. The calculator can evaluate the flow rate for throat widths ranging from 1 inch to 72 inches.

Parshall Flume Flow Rate Formula

The following formula is used to calculate the flow rate in a Parshall flume.

Q = C * W^n * H^1.55

Variables:

  • Q is the flow rate (cubic feet per second)
  • C is the coefficient for the given throat width range (dimensionless)
  • W is the throat width (inches)
  • H is the head (inches)
  • n is the exponent for the given throat width range (dimensionless)

To calculate the flow rate in a Parshall flume, use the appropriate coefficient and exponent for the given throat width range, and multiply by the throat width raised to the power of the exponent, then multiply by the head raised to the power of 1.55.

What is a Parshall Flume?

A Parshall flume is a fixed hydraulic structure used to measure the flow of water in open channels. It is widely used in irrigation, wastewater treatment, and environmental monitoring. The flume accelerates the flow through a constriction, and the flow rate can be determined by measuring the head, or the height of the water, upstream of the constriction.

How to Calculate Flow Rate in a Parshall Flume?

The following steps outline how to calculate the flow rate in a Parshall flume.


  1. First, measure the head (H) in inches at the specified location upstream of the flume.
  2. Next, determine the throat width (W) of the Parshall flume in inches.
  3. Use the appropriate coefficient (C) and exponent (n) for the given throat width range.
  4. Finally, calculate the flow rate (Q) in cubic feet per second using the formula Q = C * W^n * H^1.55.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Head (H) = 6 inches

Throat Width (W) = 12 inches