Settling Velocity Of Spherical Particle Given Reynold Number Calculator

Formula Used:

\[ Settling\ Velocity\ of\ Particle\ given\ Reynold\ Number = \frac{Reynolds\ Number\ of\ Particle \times Kinematic\ Viscosity}{Diameter\ of\ Particle} \]

\[ V_{sr} = \frac{R_p \times \nu}{D_p} \]

Reynolds Number of Particle (R_p):

Kinematic Viscosity (ν):

m²/s

Diameter of Particle (D_p):

Settling Velocity of Particle (V_sr):

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1. What is Settling Velocity of Particle?

The Settling Velocity of Particle given Reynold Number is the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering Reynolds number. It's a crucial parameter in fluid mechanics and particle dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{sr} = \frac{R_p \times \nu}{D_p} \]

Where:

\( V_{sr} \) — Settling Velocity of Particle (m/s)
\( R_p \) — Reynolds Number of Particle
\( \nu \) — Kinematic Viscosity (m²/s)
\( D_p \) — Diameter of Particle (m)

Explanation: This formula calculates the settling velocity of spherical particles in a fluid based on the Reynolds number, kinematic viscosity, and particle diameter.

3. Importance of Settling Velocity Calculation

Details: Settling velocity calculation is essential in various engineering applications including sedimentation processes, water treatment, air pollution control, and geological studies of particle transport.

4. Using the Calculator

Tips: Enter Reynolds number of particle, kinematic viscosity in m²/s, and diameter of particle in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is Reynolds Number of Particle?
A: Reynolds Number of Particle is the ratio of inertial forces to viscous forces of particles within a fluid, indicating the flow regime around the particle.

Q2: What is Kinematic Viscosity?
A: Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Q3: What are typical values for settling velocity?
A: Settling velocity varies widely depending on particle size and fluid properties, ranging from micrometers per second for fine particles to meters per second for large particles.

Q4: Does this formula work for all particle shapes?
A: This specific formula is derived for spherical particles. Non-spherical particles require additional shape factors in the calculation.

Q5: What are the limitations of this calculation?
A: The calculation assumes spherical particles, uniform fluid properties, and may have limitations at very high or very low Reynolds numbers.