1. What is Dynamic Viscosity?

Dynamic Viscosity, also known simply as viscosity, is a measure of a fluid's resistance to flow. It quantifies the internal friction between layers of fluid as they move relative to each other.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \mu \) — Dynamic Viscosity (Pascal Second)
• \( \sigma \) — Shear Stress of Fluid (Pascal)
• \( du/dy \) — Velocity Gradient (s⁻¹)

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

3. Importance of Dynamic Viscosity Calculation

Details: Dynamic viscosity is crucial for understanding fluid behavior in various applications, including engineering design, lubrication systems, fluid transport, and industrial processes where fluid flow characteristics are important.

4. Using the Calculator

Tips: Enter shear stress in Pascals and velocity gradient in reciprocal seconds (s⁻¹). 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 a fluid's internal resistance to flow, while kinematic viscosity is dynamic viscosity divided by fluid density.

Q2: What are typical units for dynamic viscosity?
A: The SI unit is Pascal-second (Pa·s), but other common units include Poise (P) and centipoise (cP).

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

Q4: What is Newton's law of viscosity?
A: It states that the shear stress between adjacent fluid layers is proportional to the velocity gradient between the two layers.

Q5: What are some practical applications of viscosity measurement?
A: Viscosity measurements are essential in lubricant selection, paint formulation, food processing, pharmaceutical manufacturing, and many other industrial processes.