Coefficient Of Discharge When Discharge For Triangular Weir When Angle Is 90 Calculator

Formula Used:

\[ C_d = \frac{Q_{tri}}{\left(\frac{8}{15}\right) \times \sqrt{2g} \times H_w^{5/2}} \]

Discharge through Triangular Weir (Q_tri):

m³/s

Acceleration due to Gravity (g):

m/s²

Height of Water above Crest of Weir (H_w):

Coefficient of Discharge (C_d):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Coefficient of Discharge?

The Coefficient of Discharge (C_d) is the ratio of actual discharge to theoretical discharge through a weir. It accounts for energy losses and other factors that cause the actual discharge to differ from the theoretical value.

2. How Does the Calculator Work?

The calculator uses the formula for triangular weir when angle is 90°:

\[ C_d = \frac{Q_{tri}}{\left(\frac{8}{15}\right) \times \sqrt{2g} \times H_w^{5/2}} \]

Where:

\( C_d \) — Coefficient of Discharge
\( Q_{tri} \) — Discharge through Triangular Weir (m³/s)
\( g \) — Acceleration due to Gravity (m/s²)
\( H_w \) — Height of Water above Crest of Weir (m)

Explanation: This formula calculates the discharge coefficient for a triangular weir with a 90° angle, considering the actual discharge, gravitational acceleration, and water height above the weir crest.

3. Importance of Coefficient of Discharge Calculation

Details: Accurate calculation of the discharge coefficient is essential for hydraulic engineering, flow measurement in open channels, and designing efficient weir systems for water management.

4. Using the Calculator

Tips: Enter discharge in m³/s, acceleration due to gravity in m/s² (default is 9.8 m/s²), and height of water above crest in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Coefficient of Discharge?
A: For triangular weirs, the coefficient typically ranges between 0.58 to 0.65, but can vary based on specific conditions and weir geometry.

Q2: Why is the angle specifically 90° in this calculator?
A: The formula provided is specifically derived for triangular weirs with a 90° angle. Different angles would require different formulas.

Q3: What factors affect the Coefficient of Discharge?
A: Factors include weir geometry, approach velocity, viscosity, surface tension, and the Reynolds number of the flow.

Q4: When is this calculation most accurate?
A: This calculation is most accurate for free-flow conditions with well-defined weir geometry and when the weir is properly installed and maintained.

Q5: Can this calculator be used for other weir types?
A: No, this calculator is specifically designed for triangular weirs with a 90° angle. Other weir types (rectangular, trapezoidal) require different formulas.