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

Formula Used:

\[ v' = r \times V_s \]

unitless
m/s

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1. What is Falling Speed?

Falling Speed refers to the constant speed at which a particle falls through a fluid (liquid or gas) 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:

\[ v' = r \times V_s \]

Where:

Explanation: The falling speed is calculated by multiplying the removal ratio by the settling velocity of the particle.

3. Importance of Falling Speed Calculation

Details: Calculating falling speed is crucial for designing sedimentation tanks, understanding particle behavior in fluids, and optimizing separation processes in various industrial applications.

4. Using the Calculator

Tips: Enter the removal ratio (unitless value) and settling velocity in m/s. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is removal ratio?
A: Removal ratio is the total amount of sludge removed from the sedimentation tank, expressed as a unitless ratio.

Q2: How is settling velocity determined?
A: Settling velocity refers to the terminal velocity of a particle in still fluid, which depends on particle size, density, and fluid properties.

Q3: What are typical values for falling speed?
A: Falling speed values vary widely depending on the specific application, particle characteristics, and fluid properties.

Q4: Can this formula be used for all particle types?
A: This simplified formula works well for many applications, but complex particle shapes or non-Newtonian fluids may require more sophisticated models.

Q5: What units should be used for input values?
A: Removal ratio is unitless, settling velocity should be in meters per second (m/s), and the result will be in meters per second (m/s).

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