Flow rate equals 4 times throat width times upstream depth raised to 1.522 times throat width raised to 0.026

Solution

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How It Works

A Parshall flume uses a converging-diverging channel shape to create a predictable relationship between upstream water depth and discharge. The standardized geometry means no individual calibration is needed. This calculator applies the general equation for throat widths between 1 and 8 feet under free-flow conditions.

Example Problem

A Parshall flume with a 2 ft throat width measures an upstream depth of 1.5 ft. What is the flow rate?

  1. Q = 4 × B1.026 × h11.522
  2. Q = 4 × 21.026 × 1.51.522 = 4 × 2.036 × 1.855
  3. Q ≈ 15.1 ft³/s

Frequently Asked Questions

What is a Parshall flume used for?

It measures open-channel water flow in irrigation canals, wastewater plants, and industrial discharge points. Its self-cleaning design handles sediment better than weirs.

What is the difference between free-flow and submerged flow?

Free-flow means the downstream water level does not affect the upstream reading. Submerged flow occurs when tailwater backs up into the throat, requiring a correction factor. Most flumes are designed for free-flow conditions.

How accurate is a Parshall flume?

Under free-flow conditions with proper installation, Parshall flumes achieve accuracy of ±3–5%. Errors increase with submergence, improper approach conditions, or sediment buildup.

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