Bazins Constant Given Time Required To Lower Liquid Surface Calculator

Bazins Coefficient Formula:

\[ m = \frac{2 \times A_R}{\Delta t \times \sqrt{2 \times g}} \times \left( \frac{1}{\sqrt{h_2}} - \frac{1}{\sqrt{H_{\text{Upstream}}}} \right) \]

Cross-Sectional Area of Reservoir (A_R):

m²

Time Interval (Δt):

Acceleration due to Gravity (g):

m/s²

Head on Downstream of Weir (h₂):

Head on Upstream of Weir (H_Upstream):

Bazins Coefficient (m):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Bazins Coefficient?

Bazins Coefficient is a constant value used in hydraulic engineering to characterize flow over weirs. It relates to the head measurements and cross-sectional properties of the reservoir to determine flow characteristics.

2. How Does the Calculator Work?

The calculator uses the Bazins Coefficient formula:

\[ m = \frac{2 \times A_R}{\Delta t \times \sqrt{2 \times g}} \times \left( \frac{1}{\sqrt{h_2}} - \frac{1}{\sqrt{H_{\text{Upstream}}}} \right) \]

Where:

\( m \) — Bazins Coefficient
\( A_R \) — Cross-Sectional Area of Reservoir (m²)
\( \Delta t \) — Time Interval (s)
\( g \) — Acceleration due to Gravity (m/s²)
\( h_2 \) — Head on Downstream of Weir (m)
\( H_{\text{Upstream}} \) — Head on Upstream of Weir (m)

Explanation: The formula calculates the Bazins Coefficient based on reservoir geometry, time interval, gravitational acceleration, and head measurements at upstream and downstream positions.

3. Importance of Bazins Coefficient

Details: Bazins Coefficient is crucial for accurate flow measurement over weirs, which is essential in hydraulic engineering, irrigation systems, and water resource management.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for length, seconds for time). Ensure all input values are positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: How does weir shape affect Bazins Coefficient?
A: Different weir shapes (rectangular, triangular, trapezoidal) have different coefficient values due to variations in flow patterns and contraction effects.

Q3: When is this calculation most accurate?
A: The calculation is most accurate for sharp-crested weirs with free flow conditions and when head measurements are taken at appropriate distances from the weir.

Q4: Are there limitations to this formula?
A: The formula assumes ideal flow conditions and may require adjustments for submerged weirs, viscous effects, or non-standard weir geometries.

Q5: How does temperature affect the calculation?
A: Temperature affects water viscosity and density, which can influence flow characteristics, though these effects are typically small for most practical applications.