1. What is Kinematic Viscosity?

Kinematic viscosity is the ratio of dynamic viscosity to fluid density, representing the fluid's resistance to flow under gravity. It is a crucial parameter in fluid dynamics and rheology studies.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( v_k \) — Kinematic viscosity (m²/s)
• \( w \) — Rotational speed (rad/s)
• \( \pi \) — Archimedes' constant (≈3.14159)
• \( D \) — Diameter (m)
• \( Re_w \) — Reynolds number based on rotational speed

Explanation: This formula calculates kinematic viscosity using rotational parameters and the Reynolds number, which characterizes flow regimes.

3. Importance of Kinematic Viscosity Calculation

Details: Accurate kinematic viscosity calculation is essential for fluid system design, flow characterization, and predicting fluid behavior in various engineering applications.

4. Using the Calculator

Tips: Enter rotational speed in rad/s, diameter in meters, and Reynolds number. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between kinematic and dynamic viscosity?
A: Dynamic viscosity measures internal resistance to flow, while kinematic viscosity is dynamic viscosity divided by density.

Q2: Why use rotational speed in this calculation?
A: Rotational speed helps determine the flow characteristics in rotating systems like mixers, turbines, and centrifuges.

Q3: What are typical kinematic viscosity values?
A: Values vary widely: water ≈1×10⁻⁶ m²/s, air ≈1.5×10⁻⁵ m²/s, while oils can range from 5×10⁻⁶ to 1×10⁻³ m²/s.

Q4: How does Reynolds number affect the calculation?
A: Reynolds number indicates flow regime (laminar or turbulent), which influences the viscosity calculation in rotational systems.

Q5: When is this formula most applicable?
A: This formula is particularly useful for rotational flow systems, viscometers, and applications involving rotating cylinders or disks.