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Cipoletti Trapezoidal Weir Discharge Calculator

The Cipoletti weir is a contracted trapezoidal weir whose side slopes flare outwards at 1 horizontal to 4 vertical (tan θ = 0.25).

Bottom horizontal notch length of the trapezoidal weir.

Water surface head measured at least 4·H upstream of the weir crest.

Height from channel invert to horizontal weir crest.

Width of upstream supply canal.

Calculated Result
0.462 m³/s

Discharge Rate

Discharge in Liters/sec

462 L/s

Discharge in US cfs

16.31 cfs

Velocity of Approach

0.174 m/s

Corrected Discharge

0.4665 m³/s

Calculation Breakdown

  1. Standard Cipoletti Equation (1:4 slope compensation)Q = 1.8592 · L · H^(1.5) = 1.8592 · 1.2 · (0.35)^1.5 => 0.462 m³/s
  2. Approach Velocity & Kinetic HeadV_a = Q / [B·(P + H)] = 0.174 m/s; h_v = V_a² / 2g => 0.0015 m
  3. Approach-Corrected DischargeQ_corr = 1.8592 · L · (H + 1.5·h_v)^1.5 => 0.4665 m³/s

Cipoletti Flow Metrics

Interactive visualization based on your current inputs

Value
0.012233547Discharge (L/s/10)CfsApproach Vel (m/s ×10)Corrected Q (L/s/10)MetricValue

What Is the Cipoletti Trapezoidal Weir Discharge Calculator?

The Cipoletti weir is a contracted trapezoidal weir whose side slopes flare outwards at 1 horizontal to 4 vertical (tan θ = 0.25).

This specific 1:4 geometric slope adds triangular flow area that exactly compensates for discharge reduction caused by end contractions in a standard rectangular weir.

This calculator computes standard Cipoletti discharge Q = 1.8592·L·H^1.5, evaluates channel approach velocity, and applies kinetic head corrections.

How Does the Cipoletti Trapezoidal Weir Discharge Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Cipoletti Trapezoidal Weir Discharge Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q = 1.8592 L H^{1.5}, \quad V_a = \frac{Q}{B(P + H)}, \quad h_v = \frac{V_a^2}{2g}, \quad Q_{corr} = 1.8592 L (H + 1.5 h_v)^{1.5}

Standard metric discharge formula utilizes Francis rectangular constant while trapezoidal flanks balance end contraction losses.

How to Use the Cipoletti Trapezoidal Weir Discharge Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Agricultural Irrigation Canal Measurement Weir

Input Values:

crestWidthM:1.2
headOverCrestHM:0.35
weirCrestHeightAboveBedP:0.6
approachChannelWidthB:2.8
Worked Steps: Standard discharge is 0.462 m³/s (462.4 L/s or 16.33 cfs). Approach velocity is 0.174 m/s, yielding a corrected discharge of 0.466 m³/s.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • The 1:4 side slope compensation eliminates Francis end-contraction subtraction terms, keeping the discharge coefficient constant.
  • Head H must not exceed one-third of crest length L (H ≤ L/3) to preserve 1:4 compensation accuracy.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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