Dynamic Viscosity Given Particle Reynold's Number Calculator

Formula Used:

\[ \mu_{viscosity} = \frac{\rho_{liquid} \times V_s \times D}{Re} \]

Liquid Density:

kg/m³

Settling Velocity:

m/s

Diameter:

Reynolds Number:

Dynamic Viscosity:

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1. What is Dynamic Viscosity?

Dynamic viscosity is a measure of a fluid's resistance to flow when an external force is applied. It quantifies the internal friction between fluid layers as they move relative to each other.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \mu_{viscosity} = \frac{\rho_{liquid} \times V_s \times D}{Re} \]

Where:

\( \mu_{viscosity} \) — Dynamic viscosity (Pa·s)
\( \rho_{liquid} \) — Liquid density (kg/m³)
\( V_s \) — Settling velocity (m/s)
\( D \) — Diameter (m)
\( Re \) — Reynolds number

Explanation: This formula calculates dynamic viscosity based on particle characteristics and flow conditions using the Reynolds number relationship.

3. Importance of Dynamic Viscosity Calculation

Details: Dynamic viscosity is crucial for understanding fluid behavior in various applications, including chemical processing, petroleum engineering, and environmental studies where particle settling is involved.

4. Using the Calculator

Tips: Enter liquid density in kg/m³, settling velocity in m/s, diameter in meters, and Reynolds number. All values must be positive numbers.

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 and relates to flow under gravity.

Q2: What are typical units for dynamic viscosity?
A: The SI unit is Pascal-second (Pa·s), but centipoise (cP) is also commonly used (1 cP = 0.001 Pa·s).

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 is the significance of Reynolds number in this calculation?
A: Reynolds number indicates the flow regime (laminar or turbulent) and is essential for accurate viscosity calculations in particle-fluid systems.

Q5: When is this formula most applicable?
A: This approach is particularly useful for calculating viscosity in sedimentation processes and particle transport in fluids.