Diameter Given Temperature Given Celsius For Diameter Greater Than 0.1mm Calculator

Formula Used:

\[ D = \frac{V_s \times 100}{418 \times (G - G_f) \times (3 \times T_F + 70)} \]

Settling Velocity (Vs):

m/s

Specific Gravity of Particle (G):

Specific Gravity of Fluid (Gf):

Temperature in Fahrenheit (TF):

°F

Diameter (D):

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1. What is the Diameter Calculation Formula?

The diameter calculation formula estimates particle diameter based on settling velocity, specific gravity differences, and temperature. It's particularly useful for particles larger than 0.1mm in various fluid dynamics applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D = \frac{V_s \times 100}{418 \times (G - G_f) \times (3 \times T_F + 70)} \]

Where:

\( D \) — Diameter (m)
\( V_s \) — Settling velocity (m/s)
\( G \) — Specific gravity of particle
\( G_f \) — Specific gravity of fluid
\( T_F \) — Temperature in Fahrenheit (°F)

Explanation: The formula accounts for the relationship between particle settling characteristics, density differences, and temperature effects on fluid properties.

3. Importance of Diameter Calculation

Details: Accurate diameter estimation is crucial for particle analysis, sedimentation studies, filtration system design, and various industrial processes involving particle-fluid interactions.

4. Using the Calculator

Tips: Enter settling velocity in m/s, specific gravity values (must be positive with G > Gf), and temperature in Fahrenheit. All values must be valid numerical inputs.

5. Frequently Asked Questions (FAQ)

Q1: Why is this formula specific for diameters greater than 0.1mm?
A: The formula's assumptions and coefficients are optimized for larger particles where certain fluid dynamics principles apply differently than for smaller particles.

Q2: What are typical settling velocity values?
A: Settling velocity varies greatly depending on particle size and density, ranging from millimeters per second to several meters per second for larger particles.

Q3: How does temperature affect the calculation?
A: Temperature influences fluid viscosity and density, which affects particle settling behavior and thus the diameter calculation.

Q4: Are there limitations to this equation?
A: This formula is specifically designed for particles larger than 0.1mm and may not be accurate for smaller particles or in extreme temperature conditions.

Q5: Can this be used for non-spherical particles?
A: The formula assumes spherical particles. For non-spherical particles, additional shape factors would need to be considered for accurate results.