Width Of Tank Given Height To Length Ratio Calculator

Formula Used:

\[ Width = \frac{Discharge}{Settling Velocity \times Depth} \times \text{Ratio of Height to Length} \] \[ w = \frac{Q}{v_s \times d} \times HL \]

Discharge (Q):

m³/s

Settling Velocity (vₛ):

m/s

Depth (d):

Ratio of Height to Length (HL):

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, settling velocity, depth, and the ratio of height to length. This calculation is essential in hydraulic engineering and water treatment plant design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Width = \frac{Discharge}{Settling Velocity \times Depth} \times \text{Ratio of Height to Length} \] \[ w = \frac{Q}{v_s \times d} \times HL \]

Where:

\( w \) — Width of the tank (m)
\( Q \) — Discharge rate (m³/s)
\( v_s \) — Settling velocity (m/s)
\( d \) — Depth of the tank (m)
\( HL \) — Ratio of height to length

Explanation: The formula determines the required width of a sedimentation tank to achieve proper settling efficiency based on flow characteristics and tank geometry.

3. Importance of Tank Width Calculation

Details: Accurate width calculation ensures proper sedimentation efficiency, optimal particle removal, and efficient operation of water treatment facilities. Incorrect sizing can lead to poor treatment performance and increased operational costs.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is settling velocity?
A: Settling velocity is the terminal velocity at which particles settle in a fluid under gravity, depending on particle size, density, and fluid properties.

Q2: Why is the height-to-length ratio important?
A: The ratio affects the flow characteristics and settling efficiency within the tank, influencing the overall performance of the sedimentation process.

Q3: What are typical values for settling velocity?
A: Settling velocities vary widely depending on particle type, ranging from 0.001 m/s for fine silt to 0.1 m/s for coarse sand.

Q4: How does depth affect tank width?
A: Greater depth generally allows for narrower tanks as it provides more vertical space for particle settlement, but optimal depth depends on specific design requirements.

Q5: Can this formula be used for other tank types?
A: While primarily used for rectangular sedimentation tanks, the principles can be adapted for other tank geometries with appropriate modifications.