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)
• \( \pi \) — Archimedes' constant (≈3.14159)
• \( Q \) — Discharge in Pipe (m³/s)
• \( R \) — Pipe Radius (m)
• \( \frac{dp}{dr} \) — Pressure Gradient (N/m³)

Explanation: This formula calculates the dynamic viscosity of a fluid flowing through a pipe based on the discharge rate, pipe radius, and pressure gradient.

3. Importance of Dynamic Viscosity Calculation

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

4. Using the Calculator

Tips: Enter discharge in m³/s, pipe radius in meters, and pressure gradient in N/m³. 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 dynamic viscosity divided by 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 viscosity?
A: For liquids, viscosity typically decreases with increasing temperature, while for gases, viscosity increases with temperature.

Q4: What are some typical viscosity values?
A: Water at 20°C has a viscosity of about 0.001 Pa·s, while honey has about 2-10 Pa·s depending on temperature and composition.

Q5: When is this formula applicable?
A: This formula is specifically for calculating viscosity in pipe flow situations where the other parameters are known.