Kinematic Viscosity Given Settling Velocity And Specific Gravity Of Particle Calculator

Formula Used:

\[ υ = \frac{[g] \times (G - 1) \times DP^2}{18 \times Vs} \]

Kinematic Viscosity (υ):

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1. What is Kinematic Viscosity?

Kinematic viscosity is a measure of a fluid's internal resistance to flow under gravitational forces. It is defined as the ratio of dynamic viscosity to fluid density and is typically measured in square meters per second (m²/s).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ υ = \frac{[g] \times (G - 1) \times DP^2}{18 \times Vs} \]

Where:

\( υ \) — Kinematic viscosity (m²/s)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( G \) — Specific gravity of particle
\( DP \) — Pipe diameter (m)
\( Vs \) — Settling velocity (m/s)

Explanation: This formula calculates the kinematic viscosity based on the settling velocity of particles in a fluid, considering gravitational forces and particle characteristics.

3. Importance of Kinematic Viscosity Calculation

Details: Accurate kinematic viscosity calculation is crucial for fluid dynamics analysis, sedimentation processes, particle transport studies, and various engineering applications involving fluid flow and particle behavior.

4. Using the Calculator

Tips: Enter specific gravity of particle (dimensionless), pipe diameter in meters, and settling velocity in meters per second. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between kinematic and dynamic viscosity?
A: Dynamic viscosity measures a fluid's resistance to flow under applied force, while kinematic viscosity is dynamic viscosity divided by fluid density and relates to flow under gravitational forces.

Q2: Why is specific gravity important in this calculation?
A: Specific gravity indicates how dense the particle is compared to the fluid, which affects its settling behavior and the resulting viscosity calculation.

Q3: What are typical values for kinematic viscosity?
A: Water at 20°C has a kinematic viscosity of about 1×10⁻⁶ m²/s, while more viscous fluids like oil can have values from 10⁻⁶ to 10⁻³ m²/s.

Q4: How does temperature affect kinematic viscosity?
A: Kinematic viscosity generally decreases with increasing temperature for liquids and increases with temperature for gases.

Q5: What applications use this viscosity calculation?
A: This calculation is used in sedimentation tanks, water treatment plants, mining operations, and any process involving particle settling in fluids.