Settling Velocity Of Particular Sized Particle Given Plan Area Calculator

Settling Velocity Formula:

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

Settling Velocity (vₛ):

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1. What is Settling Velocity?

Settling Velocity is defined as the terminal velocity of a particle in still fluid. It represents the constant speed that a particle achieves when the gravitational force pulling it downward is balanced by the drag force and buoyancy acting upward.

2. How Does the Calculator Work?

The calculator uses the settling velocity formula:

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

Where:

\( v_s \) — Settling Velocity (m/s)
\( Q \) — Discharge or flow rate (m³/s)
\( A \) — Area of sedimentation tank (m²)

Explanation: This formula calculates the settling velocity of particular sized particles based on the discharge rate and the plan area of the sedimentation tank.

3. Importance of Settling Velocity Calculation

Details: Calculating settling velocity is crucial in water and wastewater treatment processes for designing sedimentation tanks, determining particle removal efficiency, and optimizing treatment system performance.

4. Using the Calculator

Tips: Enter discharge in cubic meters per second (m³/s) and area in square meters (m²). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect settling velocity?
A: Settling velocity is influenced by particle size, density, fluid viscosity, and gravitational acceleration.

Q2: How is this formula different from Stokes' law?
A: This is an empirical formula specifically for sedimentation tank design, while Stokes' law describes settling in ideal conditions for small spherical particles.

Q3: What are typical settling velocity values?
A: Values vary widely depending on particle characteristics, but typically range from 0.001 to 0.1 m/s for most sedimentation applications.

Q4: Can this formula be used for all particle sizes?
A: This formula is specifically designed for particular sized particles in sedimentation tank applications and may not be applicable to all particle size ranges.

Q5: How does tank area affect settling velocity?
A: Larger tank areas reduce flow velocity, allowing more time for particles to settle, which effectively increases the settling efficiency.