Head Given Discharge For Cipolletti Weir Calculator

Formula Used:

\[ Height\ of\ Water\ above\ Crest\ of\ Weir = \left( \frac{3 \times Discharge\ by\ Cipolletti}{2 \times Coefficient\ of\ Discharge \times \sqrt{2 \times Acceleration\ due\ to\ Gravity} \times Length\ of\ Weir\ Crest} \right)^{2/3} \]

Discharge by Cipolletti:

m³/s

Coefficient of Discharge:

Acceleration due to Gravity:

m/s²

Length of Weir Crest:

Height of Water above Crest of Weir:

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1. What is Head Given Discharge for Cipolletti Weir?

The Head Given Discharge for Cipolletti Weir calculation determines the height of water above the crest of a Cipolletti weir based on the discharge rate and other parameters. This is essential for hydraulic engineering and flow measurement in open channels.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

Discharge by Cipolletti — Rate of flow of liquid (m³/s)
Coefficient of Discharge — Ratio of actual discharge to theoretical discharge
Acceleration due to Gravity — Gravitational acceleration (m/s²)
Length of Weir Crest — Measurement of weir crest from end to end (m)

Explanation: The formula calculates the water height above the weir crest based on the discharge rate and physical characteristics of the weir.

3. Importance of Head Calculation

Details: Accurate head calculation is crucial for designing weirs, measuring flow rates in open channels, and ensuring proper water management in irrigation and drainage systems.

4. Using the Calculator

Tips: Enter discharge in m³/s, coefficient of discharge, acceleration due to gravity in m/s² (default 9.8), and length of weir crest in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a Cipolletti weir?
A: A Cipolletti weir is a type of sharp-crested weir with trapezoidal shape, designed to measure discharge in open channels with minimal head loss.

Q2: What is the typical range for coefficient of discharge?
A: The coefficient of discharge for Cipolletti weirs typically ranges from 0.60 to 0.75, depending on the weir geometry and flow conditions.

Q3: Why is acceleration due to gravity important?
A: Gravity provides the driving force for water flow over the weir, making it a critical factor in the discharge-head relationship.

Q4: What are the limitations of this calculation?
A: The formula assumes ideal flow conditions and may need adjustments for real-world factors like approach velocity, weir shape variations, and water viscosity.

Q5: How accurate is this calculation?
A: The calculation provides theoretical values. For practical applications, field measurements and calibration may be necessary to account for site-specific conditions.