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Coefficient Of Spillway Given Discharge Over Ogee Spillway Calculator

Coefficient of Spillway Formula:

\[ C_s = \frac{Q}{L \times H^{3/2}} \]

m³/s
m
m

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1. What is the Coefficient of Spillway?

The Coefficient of Spillway is a dimensionless factor that represents the efficiency of a spillway in discharging water. It is obtained through calibration and varies based on spillway design and operating conditions.

2. How Does the Calculator Work?

The calculator uses the spillway coefficient formula:

\[ C_s = \frac{Q}{L \times H^{3/2}} \]

Where:

Explanation: The formula calculates the spillway coefficient by dividing the discharge rate by the product of spillway length and the head of water raised to the power of 3/2.

3. Importance of Coefficient Calculation

Details: Accurate spillway coefficient calculation is crucial for designing efficient spillway systems, ensuring proper water discharge capacity, and preventing dam overtopping or structural failure during flood events.

4. Using the Calculator

Tips: Enter discharge in m³/s, spillway length in meters, and head of water in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for spillway coefficients?
A: For ogee spillways, coefficients typically range from 1.8 to 2.3, with well-designed spillways achieving coefficients around 2.0-2.1.

Q2: How does head affect the spillway coefficient?
A: The coefficient generally increases with head up to the design head, then may decrease slightly for higher heads due to submergence effects.

Q3: What factors influence the spillway coefficient?
A: Crest shape, approach conditions, upstream head, downstream submergence, and spillway surface roughness all affect the coefficient value.

Q4: Why is the ogee spillway shape commonly used?
A: The ogee shape closely follows the profile of water flowing over a sharp-crested weir, providing high discharge coefficients and good energy dissipation.

Q5: When should field calibration be performed?
A: Field calibration is recommended after construction to verify design assumptions and account for actual site conditions that may differ from laboratory models.

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