Mass Density Of Particle Given Settling Velocity With Respect To Dynamic Viscosity Calculator

Formula Used:

\[ \rho = \frac{18 \times V_s \times \mu}{D^2 \times g} + \rho_{liquid} \]

Settling Velocity (Vs):

m/s

Dynamic Viscosity (μ):

Pa·s

Diameter (D):

Liquid Density (ρ_liquid):

kg/m³

Mass Density (ρ):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Mass Density Calculation?

The mass density calculation using settling velocity and dynamic viscosity determines the density of a particle based on its terminal settling velocity in a fluid. This is particularly useful in fluid mechanics and particle analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho = \frac{18 \times V_s \times \mu}{D^2 \times g} + \rho_{liquid} \]

Where:

\( \rho \) — Mass density of the particle (kg/m³)
\( V_s \) — Settling velocity (m/s)
\( \mu \) — Dynamic viscosity (Pa·s)
\( D \) — Diameter of the particle (m)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( \rho_{liquid} \) — Density of the liquid (kg/m³)

Explanation: This formula calculates the mass density of a particle based on its settling behavior in a fluid, accounting for fluid properties and gravitational effects.

3. Importance of Mass Density Calculation

Details: Accurate mass density calculation is crucial for understanding particle behavior in fluids, designing separation processes, and analyzing sedimentation in various industrial and environmental applications.

4. Using the Calculator

Tips: Enter settling velocity in m/s, dynamic viscosity in Pa·s, diameter in meters, and liquid density in kg/m³. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is settling velocity?
A: Settling velocity refers to the terminal velocity of a particle in still fluid, where gravitational force equals drag force.

Q2: What is dynamic viscosity?
A: Dynamic viscosity is a measure of a fluid's resistance to flow when an external force is applied.

Q3: When is this calculation most useful?
A: This calculation is particularly useful in sedimentation analysis, wastewater treatment, and particle separation processes.

Q4: Are there limitations to this formula?
A: This formula assumes spherical particles and laminar flow conditions. It may be less accurate for non-spherical particles or in turbulent flow conditions.

Q5: What units should be used for input values?
A: All input values should be in SI units: meters for diameter, m/s for velocity, Pa·s for viscosity, and kg/m³ for density.