1. What is the Diameter Calculation Formula?

The diameter calculation formula determines the particle diameter based on settling velocity, specific gravities, and temperature. It's derived from the relationship between these parameters in fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( D \) — Diameter (m)
• \( V_s \) — Settling velocity (m/s)
• \( G \) — Specific gravity of particle
• \( G_f \) — Specific gravity of fluid
• \( t \) — Temperature (°C)

Explanation: The formula calculates particle diameter by considering the balance between gravitational force and fluid drag force at terminal settling velocity.

3. Importance of Diameter Calculation

Details: Accurate diameter calculation is crucial for particle size analysis, sedimentation studies, and designing separation processes in various industries including water treatment and mining.

4. Using the Calculator

Tips: Enter settling velocity in m/s, specific gravities as dimensionless ratios, and temperature in °C. All values must be valid (positive values, G > Gf for proper calculation).

5. Frequently Asked Questions (FAQ)

Q1: What is settling velocity?
A: Settling velocity refers to the terminal velocity of a particle falling through a fluid medium when gravitational force equals drag force.

Q2: Why is specific gravity important in this calculation?
A: The difference in specific gravity between particle and fluid (G - Gf) determines the buoyant force acting on the particle.

Q3: How does temperature affect the calculation?
A: Temperature affects fluid viscosity and density, which influences the drag force and thus the settling characteristics.

Q4: What are the limitations of this formula?
A: This formula assumes spherical particles, laminar flow conditions, and may not be accurate for very small or irregularly shaped particles.

Q5: In what units is the result displayed?
A: The diameter result is displayed in meters (m). For smaller particles, you may want to convert to millimeters or micrometers.