Bazins Formula for Discharge if Velocity is not considered Calculator

Bazins Formula:

\[ Q_{Bv1} = m \times \sqrt{2 \times g} \times L_w \times S_w^{3/2} \]

Bazins Coefficient (m):

Acceleration due to Gravity (g):

m/s²

Length of Weir Crest (L_w):

Height of Water above Crest of Weir (S_w):

Bazins Discharge without Velocity (Q_Bv1):

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1. What is Bazins Formula for Discharge if Velocity is not considered?

Bazins Formula for Discharge if Velocity is not considered is an empirical equation used to calculate the discharge over a weir when the approach velocity is negligible. It provides an accurate measurement of fluid flow rate over weirs in various hydraulic engineering applications.

2. How Does the Calculator Work?

The calculator uses Bazins formula:

\[ Q_{Bv1} = m \times \sqrt{2 \times g} \times L_w \times S_w^{3/2} \]

Where:

\( Q_{Bv1} \) — Bazins Discharge without Velocity (m³/s)
\( m \) — Bazins Coefficient (dimensionless)
\( g \) — Acceleration due to Gravity (m/s²)
\( L_w \) — Length of Weir Crest (m)
\( S_w \) — Height of Water above Crest of Weir (m)

Explanation: The formula calculates the discharge over a weir by considering the gravitational acceleration, weir geometry, and water height above the crest, using Bazins empirical coefficient for improved accuracy.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for hydraulic engineering, water resource management, irrigation system design, and flood control measures. It helps in proper weir design and flow measurement in open channels.

4. Using the Calculator

Tips: Enter Bazins coefficient (typically between 0.4-0.5), acceleration due to gravity (9.8 m/s² standard), length of weir crest in meters, 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 Bazins coefficient?
A: Bazins coefficient typically ranges from 0.4 to 0.5, depending on the weir geometry and flow conditions.

Q2: When should Bazins formula be used instead of other weir formulas?
A: Bazins formula is particularly useful for sharp-crested weirs and provides good accuracy for various weir configurations when approach velocity is negligible.

Q3: What are the limitations of this formula?
A: The formula assumes negligible approach velocity and may not be accurate for weirs with significant velocity head or for submerged weir conditions.

Q4: How does water height affect the discharge calculation?
A: Discharge is proportional to the water height raised to the power of 3/2, meaning small changes in water height can significantly affect the discharge rate.

Q5: Can this formula be used for rectangular weirs?
A: Yes, Bazins formula is commonly used for rectangular sharp-crested weirs and provides reliable results for such configurations.