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Settling Velocity Given Ratio Of Removal With Respect To Settling Velocity Calculator

Formula Used:

\[ \text{Settling Velocity} = \frac{\text{Falling Speed}}{\text{Removal Ratio}} \] \[ V_s = \frac{v'}{R_r} \]

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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 at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Settling Velocity} = \frac{\text{Falling Speed}}{\text{Removal Ratio}} \] \[ V_s = \frac{v'}{R_r} \]

Where:

Explanation: The formula calculates the settling velocity by dividing the falling speed of the particle by the removal ratio, which represents the efficiency of particle removal in sedimentation processes.

3. Importance of Settling Velocity Calculation

Details: Accurate calculation of settling velocity is crucial for designing sedimentation tanks, understanding particle behavior in fluids, and optimizing separation processes in water treatment and industrial applications.

4. Using the Calculator

Tips: Enter falling speed in m/s and removal ratio (dimensionless). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: How is removal ratio determined?
A: Removal ratio is typically determined experimentally and represents the proportion of particles removed from a sedimentation system.

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

Q4: Can this formula be used for all fluid types?
A: The formula is generally applicable for Newtonian fluids, but may need adjustments for non-Newtonian fluids or extreme conditions.

Q5: How does temperature affect settling velocity?
A: Temperature affects fluid viscosity and density, which in turn influence the settling velocity of particles.

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