Length Of Tank Given Settling Velocity Of Particular Sized Particle Calculator

Formula Used:

\[ l_t = \frac{70 \times Q}{100 \times w \times v_s} \]

Length of Tank (lₜ):

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1. What is Length of Tank given Settling Velocity?

Length of Tank given Settling Velocity is the horizontal dimension of a sedimentation tank in a water treatment system, determined based on the velocity at which particles settle out of the fluid. This calculation ensures proper tank design for effective particle removal.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_t = \frac{70 \times Q}{100 \times w \times v_s} \]

Where:

\( l_t \) — Length of tank (m)
\( Q \) — Discharge rate (m³/s)
\( w \) — Width of tank (m)
\( v_s \) — Settling velocity of particles (m/s)

Explanation: The formula calculates the required tank length based on flow rate, tank width, and particle settling characteristics to ensure sufficient retention time for effective sedimentation.

3. Importance of Tank Length Calculation

Details: Proper tank length calculation is crucial for designing efficient sedimentation systems that effectively remove suspended particles from water. It ensures adequate detention time for particles to settle before the water exits the tank.

4. Using the Calculator

Tips: Enter discharge in m³/s, width 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 settling velocity?
A: Settling velocity is the terminal velocity at which particles descend through a fluid under gravity, determined by particle size, density, and fluid properties.

Q2: Why is the 70/100 factor used in the formula?
A: This factor accounts for practical design considerations and safety margins in sedimentation tank design to ensure effective particle removal.

Q3: How does tank width affect the required length?
A: Wider tanks generally require shorter lengths for the same treatment capacity, as they provide larger surface area for sedimentation.

Q4: What are typical settling velocities for water treatment?
A: Settling velocities vary widely (0.0001-0.01 m/s) depending on particle characteristics, with smaller particles having lower settling velocities.

Q5: Can this formula be used for all sedimentation tanks?
A: This formula is specifically designed for rectangular sedimentation tanks in water treatment systems and may need adjustments for other tank configurations.