Discharge For Triangular Weir If Velocity Is Considered Calculator

Formula Used:

\[ Q_{tri} = \frac{8}{15} \times C_d \times \sqrt{2g} \times \tan\left(\frac{\theta}{2}\right) \times \left((S_w + H_v)^{\frac{5}{2}} - H_v^{\frac{5}{2}}\right) \]

Coefficient of Discharge (Cd):

Acceleration due to Gravity (g):

m/s²

Theta (θ):

rad

Height of Water above Crest of Weir (Sw):

Velocity Head (Hv):

Discharge through Triangular Weir (Qtri):

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1. What is the Triangular Weir Discharge Formula?

The Triangular Weir Discharge formula calculates the flow rate through a triangular weir when velocity is considered. It provides a more accurate assessment of discharge by accounting for the velocity head component in the calculation.

2. How Does the Calculator Work?

The calculator uses the triangular weir discharge formula:

\[ Q_{tri} = \frac{8}{15} \times C_d \times \sqrt{2g} \times \tan\left(\frac{\theta}{2}\right) \times \left((S_w + H_v)^{\frac{5}{2}} - H_v^{\frac{5}{2}}\right) \]

Where:

\( Q_{tri} \) — Discharge through Triangular Weir (m³/s)
\( C_d \) — Coefficient of Discharge
\( g \) — Acceleration due to Gravity (m/s²)
\( \theta \) — Theta (radians)
\( S_w \) — Height of Water above Crest of Weir (m)
\( H_v \) — Velocity Head (m)

Explanation: The equation accounts for the triangular geometry of the weir and includes the velocity head component to provide a more accurate discharge calculation.

3. Importance of Triangular Weir Discharge Calculation

Details: Accurate discharge calculation through triangular weirs is crucial for hydraulic engineering, water resource management, and flow measurement in open channels.

4. Using the Calculator

Tips: Enter coefficient of discharge, acceleration due to gravity, theta in radians, height of water above crest, and velocity head. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for coefficient of discharge?
A: The coefficient of discharge for triangular weirs typically ranges from 0.58 to 0.65, depending on the weir geometry and flow conditions.

Q2: Why is velocity head important in weir calculations?
A: Velocity head accounts for the kinetic energy of the approaching flow, which affects the discharge rate and provides more accurate results.

Q3: What are common theta values for triangular weirs?
A: Common theta values are 90° (π/2 radians) for standard V-notch weirs, but other angles can be used depending on specific applications.

Q4: When should this formula be used?
A: This formula should be used when precise discharge measurements are needed for triangular weirs, particularly when the approach velocity is significant.

Q5: Are there limitations to this equation?
A: The equation assumes ideal flow conditions and may require calibration for specific weir installations and flow regimes.