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Discharge Over Cipolletti Weir By Francis Cipolletti Calculator

Cipolletti Weir Formula:

\[ Q_C = 1.86 \times L_w \times S_w^{3/2} \]

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1. What is the Cipolletti Weir Formula?

The Cipolletti weir formula, developed by Francis Cipolletti, calculates the discharge rate over a trapezoidal weir. It provides an accurate measurement of liquid flow rate in open channels and is widely used in hydraulic engineering and water management.

2. How Does the Calculator Work?

The calculator uses the Cipolletti weir formula:

\[ Q_C = 1.86 \times L_w \times S_w^{3/2} \]

Where:

Explanation: The formula calculates the volumetric flow rate over a trapezoidal weir based on the crest length and water height above the weir crest.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for water resource management, irrigation system design, flood control, and hydraulic structure design. It helps engineers determine the flow capacity of channels and weirs.

4. Using the Calculator

Tips: Enter the length of weir crest in meters and height of water above crest in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Cipolletti weir?
A: A Cipolletti weir is a trapezoidal weir with side slopes of 1:4 (horizontal:vertical) designed to compensate for end contractions and provide more accurate flow measurements.

Q2: When should the Cipolletti formula be used?
A: This formula is specifically designed for trapezoidal weirs with 1:4 side slopes and is most accurate when the water height is within certain limits relative to the weir dimensions.

Q3: What are the limitations of this formula?
A: The formula assumes ideal flow conditions, proper weir installation, and may not be accurate for very low or very high flow rates outside its calibrated range.

Q4: How does this differ from rectangular weir formulas?
A: The trapezoidal shape of Cipolletti weirs reduces end contraction effects, making the formula simpler than rectangular weir formulas that require additional correction factors.

Q5: What units should be used for input values?
A: Both length of weir crest and height of water above crest should be entered in meters for the formula to produce discharge in cubic meters per second.

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