A sedimentation basin with a settling zone surface area of 2400 m accepts a flow of 46,000 m'/day. For a particle-settling velocity of 0.2 mm/s, what is the approximate removal efficiency of the sedimentation basin?

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Sedimentation Basin Analysis**

This problem involves a sedimentation basin with specific parameters. 

- **Surface Area of Settling Zone**: 2400 m²
- **Flow Rate**: 46,000 m³/day
- **Particle-Settling Velocity**: 0.2 mm/s

**Objective**: Calculate the approximate removal efficiency of the sedimentation basin.

**Concepts**:

The removal efficiency of a sedimentation basin can be determined using the overflow rate (also known as the surface loading rate) and the particle-settling velocity. The formula for removal efficiency (\(E\)) is typically represented as:

\[ E = \left( \frac{V_s}{V_o} \right) \times 100 \]

Where:
- \(V_s\) is the particle-settling velocity
- \(V_o\) is the overflow rate, calculated as \( \frac{\text{Flow rate}}{\text{Surface area}} \)

**Steps**:

1. **Convert Particle-Settling Velocity**: 
   - Convert from mm/s to m/day. 
   - \( 0.2 \, \text{mm/s} = 0.2 \times 86,400 \, \text{m/day} = 17,280 \, \text{m/day} \)

2. **Calculate Overflow Rate**:
   - \( V_o = \frac{46,000 \, \text{m}^3/\text{day}}{2400 \, \text{m}^2} = 19.17 \, \text{m/day} \)

3. **Calculate Removal Efficiency**:
   - \( E = \left( \frac{17,280}{19.17} \right) \times 100 \approx 90.21\% \)

This simplification provides a framework to assess the efficiency of the sedimentation process based on the given parameters.
Transcribed Image Text:**Sedimentation Basin Analysis** This problem involves a sedimentation basin with specific parameters. - **Surface Area of Settling Zone**: 2400 m² - **Flow Rate**: 46,000 m³/day - **Particle-Settling Velocity**: 0.2 mm/s **Objective**: Calculate the approximate removal efficiency of the sedimentation basin. **Concepts**: The removal efficiency of a sedimentation basin can be determined using the overflow rate (also known as the surface loading rate) and the particle-settling velocity. The formula for removal efficiency (\(E\)) is typically represented as: \[ E = \left( \frac{V_s}{V_o} \right) \times 100 \] Where: - \(V_s\) is the particle-settling velocity - \(V_o\) is the overflow rate, calculated as \( \frac{\text{Flow rate}}{\text{Surface area}} \) **Steps**: 1. **Convert Particle-Settling Velocity**: - Convert from mm/s to m/day. - \( 0.2 \, \text{mm/s} = 0.2 \times 86,400 \, \text{m/day} = 17,280 \, \text{m/day} \) 2. **Calculate Overflow Rate**: - \( V_o = \frac{46,000 \, \text{m}^3/\text{day}}{2400 \, \text{m}^2} = 19.17 \, \text{m/day} \) 3. **Calculate Removal Efficiency**: - \( E = \left( \frac{17,280}{19.17} \right) \times 100 \approx 90.21\% \) This simplification provides a framework to assess the efficiency of the sedimentation process based on the given parameters.
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