Length Given Bazins Formula For Discharge If Velocity Is Not Considered Calculator

Formula Used:

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

Bazins Discharge without Velocity:

m³/s

Bazins Coefficient:

Acceleration due to Gravity:

m/s²

Height of Water above Crest of Weir:

Length of Weir Crest:

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1. What is Bazins Formula for Discharge?

Bazins Formula is an empirical equation used to calculate the discharge over a weir when the approach velocity is negligible. It provides a reliable method for determining flow rates in open channel hydraulics.

2. How Does the Calculator Work?

The calculator uses the Bazins formula:

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

Where:

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

Explanation: The formula calculates the required length of weir crest based on discharge, coefficient, gravity, and water height above the crest.

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 discharge in m³/s, Bazins coefficient, acceleration due to gravity in m/s², and water height above crest in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Bazins Coefficient?
A: Bazins Coefficient typically ranges from 0.405 to 0.415 for sharp-crested weirs, but may vary based on weir geometry and flow conditions.

Q2: When is velocity considered negligible in weir calculations?
A: Velocity is considered negligible when the approach velocity head is small compared to the water depth over the weir, typically in wide channels with slow approach flow.

Q3: What are common applications of this formula?
A: This formula is commonly used in irrigation systems, hydraulic engineering, water treatment plants, and environmental monitoring for flow measurement.

Q4: Are there limitations to Bazins formula?
A: Yes, the formula assumes certain ideal conditions and may need adjustments for submerged weirs, non-standard weir shapes, or high approach velocities.

Q5: How accurate is this calculation method?
A: Under ideal conditions with proper coefficient selection, Bazins formula can provide accuracy within ±2-5% for standard weir configurations.