Diameter Of Particle Given Particle Reynold's Number Calculator

Formula Used:

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

Dynamic Viscosity (μ):

Pa·s

Reynolds Number (Re):

Liquid Density (ρ):

kg/m³

Settling Velocity (Vs):

m/s

Diameter (D):

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1. What is the Diameter Calculation Formula?

The diameter calculation formula determines the particle diameter based on fluid properties and flow characteristics. It uses the relationship between dynamic viscosity, Reynolds number, liquid density, and settling velocity to calculate the particle diameter.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates particle diameter by considering the balance between viscous forces and inertial forces in fluid flow.

3. Importance of Particle Diameter Calculation

Details: Accurate particle diameter calculation is crucial for various engineering applications including sedimentation processes, filtration systems, fluid mechanics analysis, and particle transport studies in different industrial processes.

4. Using the Calculator

Tips: Enter dynamic viscosity in Pa·s, Reynolds number, liquid density in kg/m³, and settling velocity in m/s. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the Reynolds number in this context?
A: The Reynolds number represents the ratio of inertial forces to viscous forces and characterizes the flow regime around the particle.

Q2: Why is settling velocity important in diameter calculation?
A: Settling velocity indicates how quickly a particle falls through a fluid and is directly related to the particle size and fluid properties.

Q3: What units should be used for input values?
A: Use SI units: Pa·s for viscosity, kg/m³ for density, and m/s for velocity. Reynolds number is dimensionless.

Q4: Are there limitations to this formula?
A: This formula works best for spherical particles in laminar flow conditions and may need adjustments for non-spherical particles or turbulent flow conditions.

Q5: Can this calculator be used for gases as well as liquids?
A: Yes, the formula applies to both liquids and gases, but ensure proper units are used for density and viscosity of the specific fluid.