1. What is the Diameter of Particle Calculation?

The diameter of particle calculation determines the size of individual particles in a fluid based on the Reynolds number, kinematic viscosity, and settling velocity. This is particularly important in fluid mechanics and sediment transport studies.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( D_p \) — Diameter of Particle (m)
• \( R_p \) — Reynolds Number of Particle (-)
• \( \nu \) — Kinematic Viscosity (m²/s)
• \( v_s \) — Settling Velocity (m/s)

Explanation: This formula calculates particle diameter by relating the Reynolds number (ratio of inertial to viscous forces) with kinematic viscosity and the terminal settling velocity of the particle.

3. Importance of Particle Diameter Calculation

Details: Accurate particle diameter calculation is crucial for understanding sediment transport, filtration processes, air pollution studies, and various industrial applications involving particle-fluid interactions.

4. Using the Calculator

Tips: Enter Reynolds number (dimensionless), kinematic viscosity in m²/s, and settling velocity in m/s. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the Reynolds number of a particle?
A: The Reynolds number for a particle is a dimensionless quantity that represents the ratio of inertial forces to viscous forces acting on the particle in a fluid.

Q2: How does kinematic viscosity differ from dynamic viscosity?
A: Kinematic viscosity is the ratio of dynamic viscosity to fluid density, representing the fluid's resistance to flow under gravity.

Q3: What factors affect settling velocity?
A: Settling velocity depends on particle size, density, shape, fluid viscosity, and fluid density.

Q4: What are typical ranges for particle diameters?
A: Particle diameters can range from nanometers (colloidal particles) to millimeters (sand grains) depending on the application.

Q5: When is this calculation most applicable?
A: This calculation is most accurate for spherical particles in laminar flow conditions and is widely used in sedimentation and filtration studies.