Head When Bazin Formula For Discharge If Velocity Is Considered Calculator

Bazin Formula:

\[ H_{Stillwater} = \left( \frac{Q_{Bv}}{m \cdot \sqrt{2 \cdot g} \cdot L_w} \right)^{2/3} \]

Bazins Discharge with Velocity (Q_Bv):

m³/s

Bazins Coefficient (m):

Acceleration due to Gravity (g):

m/s²

Length of Weir Crest (L_w):

Still Water Head (H_Stillwater):

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1. What is the Bazin Formula for Discharge with Velocity?

The Bazin Formula for Discharge with Velocity is used to calculate the still water head over a weir when velocity is considered. It provides an accurate assessment of water flow characteristics in hydraulic engineering applications.

2. How Does the Calculator Work?

The calculator uses the Bazin Formula:

\[ H_{Stillwater} = \left( \frac{Q_{Bv}}{m \cdot \sqrt{2 \cdot g} \cdot L_w} \right)^{2/3} \]

Where:

\( H_{Stillwater} \) — Still Water Head (m)
\( Q_{Bv} \) — Bazins Discharge with Velocity (m³/s)
\( m \) — Bazins Coefficient (dimensionless)
\( g \) — Acceleration due to Gravity (m/s²)
\( L_w \) — Length of Weir Crest (m)

Explanation: The formula calculates the still water head by considering the discharge, Bazin coefficient, gravitational acceleration, and weir crest length.

3. Importance of Still Water Head Calculation

Details: Accurate calculation of still water head is crucial for designing weirs, spillways, and other hydraulic structures. It helps in determining water flow characteristics and ensuring proper water management in irrigation and flood control systems.

4. Using the Calculator

Tips: Enter all values in appropriate units. Bazins Discharge with Velocity in m³/s, Bazins Coefficient (dimensionless), Acceleration due to Gravity in m/s² (default 9.8 m/s²), and Length of Weir Crest in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

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

Q2: Why is acceleration due to gravity important in this calculation?
A: Gravity affects the velocity of water flow over the weir, making it a crucial factor in hydraulic calculations.

Q3: Can this formula be used for all types of weirs?
A: The Bazin formula is specifically designed for sharp-crested weirs and may not be accurate for other weir types.

Q4: What are the limitations of this formula?
A: The formula assumes ideal flow conditions and may not account for turbulence, viscosity effects, or non-standard weir geometries.

Q5: How accurate is this calculation for practical applications?
A: For well-designed weirs under normal flow conditions, the Bazin formula provides reasonably accurate results for engineering purposes.