1. What is Discharge per Unit Width?

Discharge per unit width is the ratio of total discharge in the channel to the width considered. It represents the flow rate per unit width of the channel and is a fundamental parameter in open channel hydraulics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( q \) — Discharge per unit width (m²/s)
• \( h_r \) — Critical depth of rectangular channel (m)
• \( g \) — Gravitational acceleration (9.80665 m/s²)

Explanation: This formula calculates the discharge per unit width based on the critical depth in a rectangular channel, where energy is at a minimum for a particular discharge.

3. Importance of Critical Depth Calculation

Details: Calculating critical depth and corresponding discharge is essential for designing open channels, determining flow characteristics, and ensuring proper hydraulic functioning in water resource engineering.

4. Using the Calculator

Tips: Enter the critical depth of the rectangular channel in meters. The value must be greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is critical depth in open channel flow?
A: Critical depth is the depth of flow where energy is at a minimum for a particular discharge in an open channel.

Q2: Why is discharge per unit width important?
A: It helps in analyzing flow distribution across the channel width and is crucial for hydraulic design and flood management.

Q3: What units should be used for input values?
A: Critical depth should be entered in meters (m) to get discharge per unit width in square meters per second (m²/s).

Q4: Can this formula be used for non-rectangular channels?
A: No, this specific formula applies only to rectangular channels. Different cross-sections require different formulas.

Q5: What is the significance of gravitational acceleration in the formula?
A: Gravitational acceleration is a fundamental constant that affects the flow dynamics in open channels under gravity.