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Settling Velocity Given Displacement Velocity For Fine Particles Calculator

Settling Velocity Formula:

\[ V_s = \frac{v_d}{\sqrt{\frac{8}{f}}} \]

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 force of gravity acting on the particle.

2. How Does the Calculator Work?

The calculator uses the settling velocity formula:

\[ V_s = \frac{v_d}{\sqrt{\frac{8}{f}}} \]

Where:

Explanation: The formula calculates the settling velocity of fine particles based on displacement velocity and Darcy friction factor, which accounts for fluid flow resistance.

3. Importance of Settling Velocity Calculation

Details: Accurate settling velocity calculation is crucial for designing sedimentation tanks, understanding particle transport in fluids, and optimizing separation processes in various industries including water treatment and mining.

4. Using the Calculator

Tips: Enter displacement velocity in m/s and Darcy friction factor (dimensionless). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is displacement velocity?
A: Displacement velocity refers to the velocity associated with the displacement of an object or particle in a fluid medium.

Q2: What is Darcy friction factor?
A: Darcy friction factor refers to the pressure loss due to friction along a given length of pipe to the velocity of the fluid flow.

Q3: When is this formula applicable?
A: This formula is specifically designed for calculating settling velocity of fine particles in fluid systems where displacement velocity and Darcy friction factor are known.

Q4: What are typical values for Darcy friction factor?
A: Darcy friction factor typically ranges from 0.008 to 0.1 for turbulent flow in smooth pipes, and higher values for rough pipes or laminar flow conditions.

Q5: Are there limitations to this equation?
A: This equation assumes specific flow conditions and particle characteristics. It may be less accurate for very large particles, non-spherical particles, or in highly turbulent flow conditions.

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