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Head Above Crest Given Discharge Over Ogee Spillway Calculator

Formula Used:

\[ Head\ of\ Water = \left( \frac{Discharge\ over\ Ogee\ Spillway}{Coefficient\ of\ Spillway \times Spillways\ Length} \right)^{2/3} \]

m³/s
m

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1. What is the Head Above Crest Calculation?

The Head Above Crest calculation determines the height of water above the spillway crest based on the discharge rate, spillway coefficient, and spillway length. This is essential for designing and analyzing spillway performance in hydraulic engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Head\ of\ Water = \left( \frac{Discharge\ over\ Ogee\ Spillway}{Coefficient\ of\ Spillway \times Spillways\ Length} \right)^{2/3} \]

Where:

Explanation: The formula calculates the head of water based on the discharge characteristics and spillway geometry.

3. Importance of Head of Water Calculation

Details: Accurate head of water calculation is crucial for spillway design, flood control management, and ensuring structural safety of dams and hydraulic structures.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is an Ogee Spillway?
A: An Ogee Spillway is a type of spillway with an S-shaped curve that efficiently guides water over the crest of a dam.

Q2: How is the Coefficient of Spillway determined?
A: The coefficient is typically determined through laboratory testing and calibration based on the specific spillway geometry and flow conditions.

Q3: What are typical values for the Coefficient of Spillway?
A: Typical values range from 1.7 to 2.3 for well-designed ogee spillways, depending on the approach conditions and crest shape.

Q4: Can this formula be used for other types of spillways?
A: This specific formula is designed for ogee spillways. Other spillway types may require different calculation methods.

Q5: What factors affect the accuracy of this calculation?
A: Accuracy depends on proper coefficient selection, precise measurement of discharge and dimensions, and appropriate spillway operating conditions.

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