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Length Of Tank Given Settling Velocity Calculator

Formula Used:

\[ l_t = \frac{Q}{v_s \times w} \]

m³/s
m/s
m

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1. What is the Length Of Tank Given Settling Velocity Formula?

The Length Of Tank Given Settling Velocity formula calculates the required length of a sedimentation tank based on the discharge rate, settling velocity of particles, and tank width. This is crucial for designing efficient sedimentation systems in water treatment processes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_t = \frac{Q}{v_s \times w} \]

Where:

Explanation: The formula determines the minimum tank length required to allow sufficient time for particles to settle out of the fluid based on the flow rate and particle settling characteristics.

3. Importance of Tank Length Calculation

Details: Proper tank length calculation is essential for effective sedimentation processes. An adequately sized tank ensures that particles have sufficient residence time to settle, leading to efficient solid-liquid separation in water treatment systems.

4. Using the Calculator

Tips: Enter discharge rate in m³/s, settling velocity in m/s, and tank width in meters. 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 through a fluid under the influence of gravity.

Q2: How does tank width affect the required length?
A: Wider tanks require shorter lengths for the same settling efficiency, as the cross-sectional area increases with width.

Q3: What factors influence settling velocity?
A: Settling velocity depends on particle size, density, fluid viscosity, and gravitational acceleration.

Q4: Are there limitations to this formula?
A: This formula assumes ideal conditions and may need adjustments for real-world factors like turbulence, particle interactions, and non-uniform flow distribution.

Q5: How is this formula used in engineering practice?
A: Engineers use this formula to design sedimentation tanks for water treatment plants, wastewater treatment facilities, and industrial separation processes.

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