Dynamic Viscosity For Settling Velocity With Respect To Dynamic Viscosity Calculator

Dynamic Viscosity Formula:

\[ \mu_{viscosity} = \frac{[g] \times (\rho_d - \rho_{liquid}) \times D^2}{18 \times V_s} \]

Mass Density (ρd):

kg/m³

Liquid Density (ρliquid):

kg/m³

Diameter (D):

Settling Velocity (Vs):

m/s

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 dynamic viscosity formula:

\[ \mu_{viscosity} = \frac{[g] \times (\rho_d - \rho_{liquid}) \times D^2}{18 \times V_s} \]

Where:

\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( \rho_d \) — Mass density of the substance (kg/m³)
\( \rho_{liquid} \) — Liquid density (kg/m³)
\( D \) — Diameter of the particle (m)
\( V_s \) — Settling velocity (m/s)

Explanation: This formula calculates the dynamic viscosity based on the settling velocity of particles in a fluid, accounting for gravitational forces and density differences.

3. Importance of Dynamic Viscosity Calculation

Details: Dynamic viscosity is crucial in fluid dynamics, chemical engineering, and various industrial processes. It helps determine flow characteristics, pumping requirements, and sedimentation rates in different applications.

4. Using the Calculator

Tips: Enter mass density and liquid density in kg/m³, diameter in meters, and settling velocity in m/s. All values must be positive, and mass density should be greater than liquid density for meaningful results.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between dynamic and kinematic viscosity?
A: Dynamic viscosity measures resistance to flow, while kinematic viscosity is dynamic viscosity divided by density and relates to momentum diffusivity.

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

Q3: When is this formula applicable?
A: This formula applies to spherical particles settling in a Newtonian fluid under laminar flow conditions (low Reynolds numbers).

Q4: What factors affect dynamic viscosity?
A: Temperature, pressure, and fluid composition significantly affect viscosity. Most liquids decrease in viscosity with increasing temperature.

Q5: How accurate is this calculation method?
A: The formula provides good accuracy for spherical particles in dilute suspensions under Stokes' law conditions where Re < 0.3.