1. What is Dynamic Viscosity?

Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. It is a measure of a fluid's resistance to shear or flow and is an important property in fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \mu \) — Dynamic Viscosity (Pa·s)
• \( V_{max} \) — Maximum Velocity (m/s)
• \( \frac{dp}{dr} \) — Pressure Gradient (N/m³)
• \( R \) — Pipe Radius (m)

Explanation: This formula calculates the dynamic viscosity of a fluid flowing through a cylindrical pipe based on the maximum velocity at the axis, pressure gradient, and pipe radius.

3. Importance of Dynamic Viscosity Calculation

Details: Accurate calculation of dynamic viscosity is crucial for designing fluid transport systems, predicting flow behavior, and optimizing industrial processes involving fluid flow.

4. Using the Calculator

Tips: Enter maximum velocity in m/s, pressure gradient in N/m³, and pipe radius in meters. All values must be positive and non-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 the ratio of dynamic viscosity to 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 typically decreases with increasing temperature, while for gases, viscosity increases with temperature.

Q4: What factors can affect viscosity measurements?
A: Temperature, pressure, shear rate, and the presence of impurities can all affect viscosity measurements.

Q5: When is this formula applicable?
A: This formula is specifically for laminar flow in cylindrical pipes where the maximum velocity occurs at the axis.