Head If Velocity Is Considered For Discharge Over Broad Crested Weir Calculator

Formula Used:

\[ Total Head = \left( \frac{Max Discharge Over Broad Crested Weir}{1.70 \times Coefficient of Discharge \times Length of Weir Crest} \right)^{2/3} \]

Total Head:

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1. What is Head If Velocity Is Considered For Discharge Over Broad Crested Weir?

Total Head is the combination of weir crested and additional head when velocity is considered for discharge over a broad crested weir. It represents the total energy head available for flow over the weir structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Total Head = \left( \frac{Max Discharge Over Broad Crested Weir}{1.70 \times Coefficient of Discharge \times Length of Weir Crest} \right)^{2/3} \]

Where:

\( Max Discharge Over Broad Crested Weir \) — Maximum discharge quantity in cubic meters per second (m³/s)
\( Coefficient of Discharge \) — Ratio of actual discharge to theoretical discharge (dimensionless)
\( Length of Weir Crest \) — Measurement of Weir Crest from end to end in meters (m)

Explanation: This formula calculates the total head by considering the maximum discharge, coefficient of discharge, and length of the weir crest, providing an accurate measurement of the energy head when velocity is accounted for in broad crested weir flow calculations.

3. Importance of Total Head Calculation

Details: Accurate total head calculation is crucial for designing efficient weir structures, predicting flow characteristics, and ensuring proper hydraulic performance in water management systems.

4. Using the Calculator

Tips: Enter maximum discharge in m³/s, coefficient of discharge (typically between 0.6-0.8 for broad crested weirs), and length of weir crest in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a broad crested weir?
A: A broad crested weir is a hydraulic structure with a wide, horizontal crest that allows water to flow over it, commonly used for flow measurement and control in open channels.

Q2: Why is the coefficient of discharge important?
A: The coefficient of discharge accounts for energy losses and flow contractions, making the calculated discharge more accurate compared to theoretical values.

Q3: What factors affect the coefficient of discharge?
A: The coefficient is influenced by weir geometry, approach velocity, crest shape, and surface roughness of the weir material.

Q4: When should velocity be considered in weir calculations?
A: Velocity should be considered when the approach velocity is significant compared to the flow velocity over the weir, typically in channels with high flow rates or limited cross-sectional areas.

Q5: What are typical values for the coefficient of discharge?
A: For broad crested weirs, the coefficient of discharge typically ranges from 0.6 to 0.8, depending on the specific weir design and flow conditions.