1. What is the Discharge Rate Formula?

The discharge rate formula calculates the flow rate of a liquid through a sedimentation tank based on the settling velocity of particles and the cross-sectional area of the tank. It is fundamental in designing and analyzing sedimentation systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Q \) — Discharge rate (m³/s)
• \( V_s \) — Settling velocity (m/s)
• \( A \) — Cross-sectional area (m²)

Explanation: The formula multiplies the settling velocity of particles by the area through which they settle to determine the volumetric flow rate.

3. Importance of Discharge Rate Calculation

Details: Accurate discharge rate calculation is crucial for designing efficient sedimentation tanks, ensuring proper particle removal, and optimizing water treatment processes.

4. Using the Calculator

Tips: Enter settling velocity in m/s and area in m². Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is settling velocity?
A: Settling velocity is the terminal velocity at which a particle falls through a fluid under gravity when the drag force equals the gravitational force.

Q2: How is cross-sectional area determined?
A: For rectangular tanks, area is width × length. For circular tanks, area is π × radius².

Q3: What factors affect settling velocity?
A: Particle size, density, fluid viscosity, and temperature all influence settling velocity.

Q4: When is this formula applicable?
A: This formula applies to sedimentation tanks where particles settle vertically and the flow is relatively uniform.

Q5: What are typical units for discharge rate?
A: Discharge rate is typically measured in cubic meters per second (m³/s) or liters per second (L/s).