Discharge for Triangular Weir if Angle is at 90 Calculator

Triangular Weir Discharge Formula:

\[ Q_{tri} = \frac{8}{15} \times C_d \times \sqrt{2g} \times S_w^{3/2} \]

Coefficient of Discharge (Cd):

Acceleration due to Gravity (g):

m/s²

Height of Water above Crest of Weir (Sw):

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, which is commonly used in hydraulic engineering for flow measurement in open channels.

2. How Does the Calculator Work?

The calculator uses the triangular weir discharge formula:

\[ Q_{tri} = \frac{8}{15} \times C_d \times \sqrt{2g} \times S_w^{3/2} \]

Where:

\( Q_{tri} \) — Discharge through triangular weir (m³/s)
\( C_d \) — Coefficient of discharge
\( g \) — Acceleration due to gravity (m/s²)
\( S_w \) — Height of water above crest of weir (m)

Explanation: This formula accounts for the geometric properties of a triangular weir and the hydraulic principles governing flow through such structures.

3. Importance of Triangular Weir Discharge Calculation

Details: Accurate discharge calculation is crucial for water resource management, irrigation system design, flood control, and environmental flow monitoring in open channels.

4. Using the Calculator

Tips: Enter the coefficient of discharge, acceleration due to gravity (typically 9.8 m/s²), and height of water above the weir crest. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for coefficient of discharge (Cd)?
A: For triangular weirs, Cd typically ranges from 0.58 to 0.62, but can vary based on weir geometry and flow conditions.

Q2: Why is the weir angle specified as 90 degrees?
A: The 90-degree triangular weir (V-notch weir) is the most common configuration, providing good accuracy for a wide range of flow rates.

Q3: What are the limitations of triangular weirs?
A: Triangular weirs are less suitable for very high flow rates and may require frequent cleaning to maintain accuracy due to debris accumulation.

Q4: How does water height affect discharge?
A: Discharge increases with the 3/2 power of the water height, meaning small changes in water level can significantly affect flow rate.

Q5: When should triangular weirs be used?
A: Triangular weirs are ideal for measuring low to moderate flow rates where high accuracy is required, particularly in laboratory and small-scale field applications.