Dynamic Viscosity Given Head Loss Over Length Of Pipe With Discharge Calculator

Formula Used:

\[ \mu = \frac{h_{location}}{\frac{128 \times Q \times L_p}{\pi \times \gamma_f \times D_{pipe}^4}} \]

Head Loss due to Friction:

Discharge in Pipe:

m³/s

Length of Pipe:

Specific Weight of Liquid:

N/m³

Diameter of Pipe:

Dynamic Viscosity (μ):

Unit Converter ▲

Unit Converter ▼

From:	To:

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 crucial property in fluid dynamics that determines how easily a fluid flows under applied stress.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \mu = \frac{h_{location}}{\frac{128 \times Q \times L_p}{\pi \times \gamma_f \times D_{pipe}^4}} \]

Where:

\( \mu \) — Dynamic Viscosity (Pa·s)
\( h_{location} \) — Head Loss due to Friction (m)
\( Q \) — Discharge in Pipe (m³/s)
\( L_p \) — Length of Pipe (m)
\( \gamma_f \) — Specific Weight of Liquid (N/m³)
\( D_{pipe} \) — Diameter of Pipe (m)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: This formula calculates dynamic viscosity based on head loss, discharge, pipe dimensions, and fluid properties in a circular pipe flow.

3. Importance of Dynamic Viscosity Calculation

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

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all inputs are positive values for accurate calculation results.

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 density.

Q2: What are typical dynamic viscosity values for common fluids?
A: Water at 20°C: ~0.001 Pa·s, Air at 20°C: ~0.000018 Pa·s, Honey: ~2-10 Pa·s, depending on temperature and composition.

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

Q4: What are the limitations of this calculation method?
A: This formula assumes laminar flow, Newtonian fluid behavior, and circular pipe cross-section. It may not be accurate for turbulent flow or non-Newtonian fluids.

Q5: When should this calculation be used in engineering applications?
A: This method is particularly useful for calculating viscosity in pipe flow systems where head loss measurements are available, helping in fluid characterization and system design.