1. What is Dynamic Viscosity?

Dynamic Viscosity is the resistance to movement of one layer of a fluid over another. It quantifies the internal friction between fluid layers when they move relative to each other.

2. How Does the Calculator Work?

The calculator uses the Dynamic Viscosity formula:

Where:

• \( \mu \) — Dynamic Viscosity (Pascal Second)
• \( \tau \) — Shear Stress (Pascal)
• \( \frac{dv}{dy} \) — Velocity Gradient (Hertz)

Explanation: The formula calculates dynamic viscosity by dividing shear stress by the velocity gradient between adjacent fluid layers.

3. Importance of Dynamic Viscosity Calculation

Details: Dynamic viscosity is crucial in fluid mechanics for determining flow characteristics, designing piping systems, and analyzing lubrication requirements in mechanical systems.

4. Using the Calculator

Tips: Enter shear stress in Pascal and velocity gradient in Hertz. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

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

Q2: What are typical dynamic viscosity values for common fluids?
A: Water at 20°C has about 0.001 Pa·s, while honey can have 2-10 Pa·s, and motor oil ranges from 0.1-0.3 Pa·s.

Q3: How does temperature affect dynamic viscosity?
A: For liquids, viscosity decreases with increasing temperature. For gases, viscosity generally increases with temperature.

Q4: What is Newton's law of viscosity?
A: It states that shear stress is proportional to the velocity gradient, with dynamic viscosity as the proportionality constant.

Q5: When is this calculation most applicable?
A: This calculation is valid for Newtonian fluids where viscosity remains constant regardless of the applied shear rate.