Discharge For Triangular Weir If Coefficient Discharge Is Constant Calculator

Formula Used:

\[ Q_{tri} = 1.418 \times S_w^{5/2} \]

Discharge through Triangular Weir (Q_tri):

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1. What is the Triangular Weir Discharge Formula?

The formula \( Q_{tri} = 1.418 \times S_w^{5/2} \) calculates the discharge through a triangular weir when the coefficient of discharge is constant. It provides an estimation of flow rate based on the height of water above the weir crest.

2. How Does the Calculator Work?

The calculator uses the triangular weir formula:

\[ Q_{tri} = 1.418 \times S_w^{5/2} \]

Where:

\( Q_{tri} \) — Discharge through triangular weir (m³/s)
\( S_w \) — Height of water above crest of weir (m)
1.418 — Constant coefficient of discharge

Explanation: The formula relates the flow rate over a triangular weir to the 5/2 power of the water height above the weir crest, with a constant discharge coefficient.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for hydraulic engineering, water resource management, and irrigation system design to ensure proper flow measurement and control.

4. Using the Calculator

Tips: Enter the height of water above the weir crest in meters. The value must be positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a triangular weir?
A: A triangular weir is a flow measurement device with a V-shaped notch used to measure open channel flow rates.

Q2: When is this formula applicable?
A: This formula applies when the coefficient of discharge is constant, typically for standard triangular weir configurations under specific flow conditions.

Q3: What are typical values for water height above weir crest?
A: Typical values range from a few centimeters to several decimeters, depending on the weir size and flow rate.

Q4: Are there limitations to this formula?
A: The formula assumes ideal conditions and constant discharge coefficient. Actual measurements may vary due to factors like weir geometry, water viscosity, and approach conditions.

Q5: How accurate is this calculation?
A: The calculation provides a theoretical estimate. For precise measurements, laboratory calibration and consideration of real-world conditions are recommended.