Coefficient When Bazin Formula For Discharge If Velocity Is Considered Calculator

Bazins Coefficient Formula:

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

Bazins Discharge with Velocity (Q_Bv):

m³/s

Acceleration due to Gravity (g):

m/s²

Length of Weir Crest (L_w):

Still Water Head (H_Stillwater):

Bazins Coefficient (m):

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1. What is Bazins Coefficient?

Bazins Coefficient is an empirical coefficient used in the Bazin formula for calculating discharge over weirs when velocity is considered. It accounts for various factors affecting flow characteristics over weirs.

2. How Does the Calculator Work?

The calculator uses the Bazins Coefficient formula:

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

Where:

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

Explanation: The formula calculates the coefficient by dividing the discharge by the product of square root of 2g, weir crest length, and still water head raised to the power of 3/2.

3. Importance of Bazins Coefficient

Details: Bazins Coefficient is crucial for accurate discharge calculations in hydraulic engineering, particularly in weir flow measurements where velocity effects need to be considered.

4. Using the Calculator

Tips: Enter all values in appropriate units (discharge in m³/s, gravity in m/s², length in meters, head in meters). All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of Bazins Coefficient values?
A: Bazins Coefficient typically ranges between 0.4-0.6 for most practical applications, but can vary based on weir geometry and flow conditions.

Q2: How does velocity affect the Bazins Coefficient?
A: Higher approach velocities generally result in higher discharge coefficients as they increase the effective head over the weir.

Q3: When should Bazins formula be used instead of other weir formulas?
A: Bazins formula is particularly useful when approach velocity is significant and needs to be accounted for in discharge calculations.

Q4: What are the limitations of Bazins formula?
A: The formula may be less accurate for very low heads, sharp-crested weirs, or under highly turbulent flow conditions.

Q5: How does weir shape affect the coefficient value?
A: Different weir shapes (rectangular, triangular, trapezoidal) will have different optimal coefficient values due to varying flow characteristics.