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Settling Velocity Given Displacement Velocity With Settling Velocity Calculator

Settling Velocity Formula:

\[ Vs = \frac{vd}{18} \]

m/s

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1. What is Settling Velocity?

Settling velocity refers to the terminal velocity of a particle in still fluid. It is the constant speed that a particle achieves when the resistance of the fluid equals the gravitational force acting on the particle.

2. How Does the Calculator Work?

The calculator uses the Settling Velocity formula:

\[ Vs = \frac{vd}{18} \]

Where:

Explanation: This formula calculates the settling velocity of a particle based on its displacement velocity, with the constant factor of 18 accounting for fluid dynamics properties.

3. Importance of Settling Velocity Calculation

Details: Settling velocity is crucial in various engineering applications including sedimentation processes, water treatment, particle separation, and environmental studies of particulate matter transport.

4. Using the Calculator

Tips: Enter displacement velocity in m/s. The value must be valid (greater than 0).

5. Frequently Asked Questions (FAQ)

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

Q2: How is this formula derived?
A: The formula is derived from Stokes' law for spherical particles in laminar flow conditions.

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

Q4: Are there limitations to this equation?
A: This simplified formula assumes ideal conditions and may not be accurate for non-spherical particles or in turbulent flow conditions.

Q5: In what industries is this calculation important?
A: This calculation is important in water treatment, mining, chemical processing, environmental engineering, and any industry dealing with particle-fluid interactions.

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