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Settling Velocity With Respect To Diameter Of Particle Calculator

Settling Velocity Formula:

\[ V_{sd} = \left( \frac{g \times (G - 1) \times D_p^{1.6}}{13.88 \times \nu^{0.6}} \right)^{0.714} \]

m/s²
m
m²/s

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1. What is Settling Velocity?

Settling Velocity is the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size, density, and the fluid's properties.

2. How Does the Calculator Work?

The calculator uses the settling velocity formula:

\[ V_{sd} = \left( \frac{g \times (G - 1) \times D_p^{1.6}}{13.88 \times \nu^{0.6}} \right)^{0.714} \]

Where:

Explanation: The formula calculates the terminal velocity at which a particle settles through a fluid, accounting for gravitational force, particle properties, and fluid viscosity.

3. Importance of Settling Velocity Calculation

Details: Settling velocity calculations are crucial in various engineering applications including sediment transport analysis, water treatment processes, and environmental impact assessments.

4. Using the Calculator

Tips: Enter acceleration due to gravity (typically 9.8 m/s²), specific gravity of sediment, particle diameter in meters, and kinematic viscosity in m²/s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is specific gravity of sediment?
A: Specific gravity of sediment is the ratio of the density of sediment particles to the density of water.

Q2: How does particle size affect settling velocity?
A: Larger particles generally have higher settling velocities due to greater gravitational force acting on them.

Q3: What is kinematic viscosity?
A: Kinematic viscosity is the ratio of dynamic viscosity to fluid density, representing the fluid's resistance to flow under gravity.

Q4: When is this formula applicable?
A: This formula is applicable for spherical particles settling in a fluid under laminar flow conditions.

Q5: What are typical values for kinematic viscosity?
A: For water at 20°C, kinematic viscosity is approximately 1.0 × 10⁻⁶ m²/s.

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