Length When Bazins Formula For Discharge If Velocity Is Considered Calculator

Formula Used:

\[ L_w = \frac{Q_{Bv}}{m \times \sqrt{2 \times g} \times H_{Stillwater}^{3/2}} \]

Bazins Discharge with Velocity (Q_Bv):

m³/s

Bazins Coefficient (m):

Acceleration due to Gravity (g):

m/s²

Still Water Head (H_Stillwater):

Length of Weir Crest (L_w):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Bazins Formula for Discharge?

Bazins formula is an empirical equation used to calculate the discharge over a weir when velocity is considered. It provides a more accurate measurement of flow rate by accounting for the velocity of approach.

2. How Does the Calculator Work?

The calculator uses the Bazins formula:

\[ L_w = \frac{Q_{Bv}}{m \times \sqrt{2 \times g} \times H_{Stillwater}^{3/2}} \]

Where:

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

Explanation: The formula calculates the required length of weir crest based on discharge rate, Bazins coefficient, gravitational acceleration, and still water head.

3. Importance of Weir Crest Length Calculation

Details: Accurate calculation of weir crest length is crucial for proper hydraulic design, flood control, irrigation systems, and water resource management. It ensures efficient water flow measurement and control.

4. Using the Calculator

Tips: Enter all values in appropriate units. Bazins discharge should be in m³/s, Bazins coefficient is dimensionless, acceleration due to gravity is typically 9.8 m/s², and still water head 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 0.5, depending on the weir geometry and flow conditions.

Q2: Why is velocity consideration important in discharge calculations?
A: Considering velocity provides more accurate discharge measurements as it accounts for the kinetic energy of the approaching flow.

Q3: What types of weirs is this formula applicable to?
A: Bazins formula is primarily used for sharp-crested weirs with rectangular notches.

Q4: How does still water head differ from total head?
A: Still water head refers to the depth of water above the weir crest without considering velocity head, while total head includes both static and velocity components.

Q5: What are the limitations of Bazins formula?
A: The formula may be less accurate for very low or very high flow rates, and for weirs with significant approach channel effects.