Settling Velocity Given Celsius For Diameter Greater Than 0.1mm Calculator

Settling Velocity Formula:

\[ V_s = \frac{418 \times (G - G_f) \times D \times (3 \times T_F + 70)}{100} \]

Specific Gravity of Particle (G):

Specific Gravity of Fluid (Gf):

Diameter (D):

Temperature in Fahrenheit (TF):

°F

Settling Velocity (Vs):

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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 eventually reaches 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:

\[ V_s = \frac{418 \times (G - G_f) \times D \times (3 \times T_F + 70)}{100} \]

Where:

\( V_s \) — Settling Velocity (m/s)
\( G \) — Specific Gravity of Particle
\( G_f \) — Specific Gravity of Fluid
\( D \) — Diameter (mm)
\( T_F \) — Temperature in Fahrenheit (°F)

Explanation: This formula calculates the settling velocity for particles with diameter greater than 0.1mm, taking into account the density difference between particle and fluid, particle size, and fluid temperature.

3. Importance of Settling Velocity Calculation

Details: Settling velocity calculations are crucial in various engineering applications including sedimentation processes, wastewater treatment, mineral processing, and environmental studies of particle transport in fluids.

4. Using the Calculator

Tips: Enter specific gravity values (dimensionless), diameter in mm (must be ≥0.1mm), and temperature in Fahrenheit. All values must be valid and within reasonable physical limits.

5. Frequently Asked Questions (FAQ)

Q1: Why is this formula specific for diameter greater than 0.1mm?
A: Different settling regimes apply to different particle sizes. This formula is designed for larger particles where certain assumptions about fluid flow around the particle hold true.

Q2: What are typical settling velocity values?
A: Settling velocities vary widely depending on particle size and density, ranging from very slow for fine particles to relatively fast for coarse, dense particles.

Q3: How does temperature affect settling velocity?
A: Temperature affects fluid viscosity and density, which in turn influence the drag force on particles and thus their settling velocity.

Q4: Are there limitations to this equation?
A: This formula is specifically for particles larger than 0.1mm and may not be accurate for very small particles or in highly turbulent conditions.

Q5: Can this be used for non-spherical particles?
A: The formula assumes spherical particles. For non-spherical particles, shape factors would need to be considered for accurate results.