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The formula calculates the diameter of a particle based on its settling velocity and the specific gravities of the particle and fluid at 10°C. It provides an accurate assessment of particle size in fluid dynamics applications.
The calculator uses the formula:
Where:
Explanation: The formula accounts for the relationship between particle size, settling velocity, and the density difference between particle and fluid.
Details: Accurate diameter calculation is crucial for particle size analysis, sedimentation studies, and various engineering applications involving fluid-particle interactions.
Tips: Enter settling velocity in m/s, specific gravity of particle, and specific gravity of fluid. All values must be valid (Vs > 0, G > Gf > 0).
Q1: Why is the formula specific to 10°C?
A: The constant 418 in the formula is derived for water at 10°C, where fluid properties are standardized for consistent calculations.
Q2: What are typical settling velocity values?
A: Settling velocity varies greatly depending on particle size and density, ranging from micrometers per second for fine particles to centimeters per second for larger particles.
Q3: When should this calculation be used?
A: This calculation is particularly useful in environmental engineering, water treatment, and sediment transport studies where particle size determination is important.
Q4: Are there limitations to this formula?
A: The formula assumes spherical particles, laminar flow conditions, and is specifically calibrated for water at 10°C temperature.
Q5: Can this be used for non-aqueous fluids?
A: The formula is specifically designed for water at 10°C. For other fluids, different constants and formulas would be required.