Head When Bazin Formula For Discharge If Velocity Is Not Considered Calculator

Bazin Formula:

\[ Height\ of\ Water\ above\ Crest\ of\ Weir = \left(\frac{Bazins\ Discharge\ without\ Velocity}{Bazins\ Coefficient \times \sqrt{2 \times Acceleration\ due\ to\ Gravity} \times Length\ of\ Weir\ Crest}\right)^{2/3} \]

Bazins Discharge without Velocity:

m³/s

Bazins Coefficient:

Acceleration due to Gravity:

m/s²

Length of Weir Crest:

Height of Water above Crest of Weir:

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1. What is the Bazin Formula?

The Bazin Formula is used to calculate the height of water above the crest of a weir when discharge is known and velocity is not considered. It provides an accurate estimation of water head for various hydraulic engineering applications.

2. How Does the Calculator Work?

The calculator uses the Bazin Formula:

Where:

\( Bazins\ Discharge\ without\ Velocity \) — Discharge rate in cubic meters per second (m³/s)
\( Bazins\ Coefficient \) — Empirical coefficient specific to the weir
\( Acceleration\ due\ to\ Gravity \) — Gravitational acceleration (typically 9.8 m/s²)
\( Length\ of\ Weir\ Crest \) — Length of the weir crest in meters (m)

Explanation: The formula calculates the water height above the weir crest based on discharge rate, weir characteristics, and gravitational acceleration.

3. Importance of Head Calculation

Details: Accurate head calculation is crucial for designing weirs, spillways, and other hydraulic structures. It helps in determining water flow characteristics, flood control measures, and irrigation system design.

4. Using the Calculator

Tips: Enter discharge in m³/s, Bazin coefficient, gravitational acceleration in m/s² (default 9.8), and weir crest length in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Bazin Coefficient?
A: The Bazin Coefficient typically ranges from 0.4 to 0.6, depending on the weir geometry and surface conditions.

Q2: When is velocity not considered in discharge calculations?
A: Velocity is often neglected when the approach velocity is small compared to the velocity over the weir, or when precise measurements are not required.

Q3: What are common applications of this formula?
A: This formula is commonly used in irrigation engineering, dam design, flood control systems, and hydraulic research.

Q4: How accurate is the Bazin Formula?
A: The Bazin Formula provides good accuracy for sharp-crested weirs under normal flow conditions, though actual accuracy depends on proper coefficient selection.

Q5: Can this formula be used for all types of weirs?
A: The formula is primarily designed for sharp-crested weirs. Different formulas may be needed for broad-crested weirs or other weir types.