Settling Velocity Of Particular Sized Particle Calculator

Formula Used:

\[ \text{Settling Velocity} = \frac{70 \times \text{Discharge entering Basin given Settling Velocity}}{100 \times \text{Width} \times \text{Length}} \] \[ v_s = \frac{70 \times Q_s}{100 \times w \times L} \]

Settling Velocity:

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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 resistance of the fluid equals the force of gravity acting on the particle.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( v_s \) — Settling Velocity (m/s)
\( Q_s \) — Discharge entering Basin given Settling Velocity (m³/s)
\( w \) — Width (m)
\( L \) — Length (m)

Explanation: This formula calculates the settling velocity of particles based on the discharge rate and the dimensions of the sedimentation basin.

3. Importance of Settling Velocity Calculation

Details: Calculating settling velocity is crucial in water treatment processes, particularly in designing sedimentation basins to effectively remove suspended particles from water. It helps determine the appropriate size and configuration of treatment facilities.

4. Using the Calculator

Tips: Enter discharge in m³/s, width in meters, and length in meters. All values must be positive numbers greater than zero for accurate calculations.

5. Frequently Asked Questions (FAQ)

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

Q2: How is this formula derived?
A: The formula is derived from the balance between gravitational force and fluid drag force acting on a particle.

Q3: What are typical settling velocity values?
A: Settling velocities vary widely depending on particle characteristics, ranging from millimeters per second for fine particles to centimeters per second for larger particles.

Q4: When is this calculation most useful?
A: This calculation is particularly useful in environmental engineering, water treatment plant design, and sedimentation basin optimization.

Q5: Are there limitations to this equation?
A: The equation assumes ideal conditions and may need adjustment for non-spherical particles, particle interactions, or turbulent flow conditions.