Width Of Tank Given Settling Velocity Of Particular Sized Particle Calculator

Formula Used:

\[ w = \frac{70 \times Q_s}{100 \times L \times v_s} \]

Discharge entering Basin given Settling Velocity (Qs):

m³/s

Length (L):

Settling Velocity (vs):

m/s

Width (w):

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1. What is the Width Calculation Formula?

The formula calculates the width of a sedimentation tank based on discharge rate, length of the tank, and settling velocity of particles. It's derived from the relationship between these parameters in sedimentation basin design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w = \frac{70 \times Q_s}{100 \times L \times v_s} \]

Where:

\( w \) — Width of the tank (m)
\( Q_s \) — Discharge entering basin given settling velocity (m³/s)
\( L \) — Length of the tank (m)
\( v_s \) — Settling velocity of particles (m/s)

Explanation: The formula calculates the required width of a sedimentation tank based on the flow rate, tank length, and the settling characteristics of particles to be removed.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for designing efficient sedimentation basins that effectively remove suspended particles from water while maintaining proper flow characteristics and detention time.

4. Using the Calculator

Tips: Enter discharge rate in m³/s, length in meters, and settling velocity in m/s. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 70 and 100 constants in the formula?
A: These constants represent conversion factors and safety margins typically used in sedimentation tank design to account for various operational factors and ensure efficient particle removal.

Q2: How does settling velocity affect the required tank width?
A: Higher settling velocities allow for narrower tanks as particles settle faster, while lower settling velocities require wider tanks to provide sufficient residence time for particle removal.

Q3: What are typical settling velocity values for different particles?
A: Settling velocities vary widely - sand particles may settle at 0.1-1.0 m/s, while finer particles like clay may settle at 0.0001-0.001 m/s, depending on size and density.

Q4: How does discharge rate impact tank width?
A: Higher discharge rates require wider tanks to maintain proper flow velocity and prevent short-circuiting, ensuring adequate treatment time for all water passing through.

Q5: Are there limitations to this calculation method?
A: This formula provides an initial estimate. Final design should consider factors like inlet/outlet arrangements, sludge collection, temperature effects, and specific particle characteristics.