Viscosity Using Viscometer Calculator

Dynamic Viscosity Formula:

\[ \mu_{viscosity} = \frac{T \times \delta_{fluid}}{4 \times \pi^2 \times R^3 \times \omega \times L_{Cylinder}} \]

Torque (T):

N·m

Thickness of Fluid Layer (δ):

Radius of Inner Cylinder (R):

Revolutions per Second (ω):

Length of Cylinder (L):

Dynamic Viscosity (μ):

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1. What is Dynamic Viscosity?

Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied. It quantifies the internal friction between fluid layers moving at different velocities.

2. How Does the Calculator Work?

The calculator uses the viscometer formula:

\[ \mu_{viscosity} = \frac{T \times \delta_{fluid}}{4 \times \pi^2 \times R^3 \times \omega \times L_{Cylinder}} \]

Where:

\( \mu_{viscosity} \) — Dynamic Viscosity (Pa·s)
\( T \) — Torque (N·m)
\( \delta_{fluid} \) — Thickness of Fluid Layer (m)
\( R \) — Radius of Inner Cylinder (m)
\( \omega \) — Revolutions per Second (Hz)
\( L_{Cylinder} \) — Length of Cylinder (m)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: This formula calculates the dynamic viscosity by measuring the torque required to rotate an inner cylinder at a specific speed within an outer cylinder containing the fluid.

3. Importance of Viscosity Measurement

Details: Viscosity measurement is crucial in various industries including petroleum, chemical, pharmaceutical, and food processing. It helps determine fluid flow characteristics, lubrication properties, and quality control in manufacturing processes.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Ensure torque is in Newton-meters, dimensions in meters, and rotational speed in Hertz. 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 resistance to flow under applied force, while kinematic viscosity is dynamic viscosity divided by fluid density.

Q2: What types of viscometers use this formula?
A: This formula is typically used for rotational viscometers, specifically coaxial cylinder or Couette-type viscometers.

Q3: What are typical viscosity values for common fluids?
A: Water at 20°C has viscosity of about 0.001 Pa·s, while honey can be around 10 Pa·s, and motor oils range from 0.1-0.5 Pa·s.

Q4: How does temperature affect viscosity?
A: For most liquids, viscosity decreases as temperature increases. For gases, viscosity generally increases with temperature.

Q5: What are the limitations of this calculation method?
A: This method assumes Newtonian fluid behavior, laminar flow, and perfect cylinder geometry. Non-Newtonian fluids may require different analysis.