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Diameter Of Particle Given Settling Velocity For Modified Hazen's Equation Calculator

Formula Used:

\[ Dp = \frac{Vsm}{60.6 \times (G - 1) \times \left(\frac{(3 \times T) + 70}{100}\right)} \]

m/s
-
°C

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1. What is the Modified Hazen's Equation?

The Modified Hazen's Equation is used to calculate the diameter of sediment particles based on their settling velocity, specific gravity, and the temperature of the fluid. It provides a practical method for determining particle size in sedimentation processes.

2. How Does the Calculator Work?

The calculator uses the Modified Hazen's Equation:

\[ Dp = \frac{Vsm}{60.6 \times (G - 1) \times \left(\frac{(3 \times T) + 70}{100}\right)} \]

Where:

Explanation: The equation accounts for the relationship between particle settling velocity, particle density relative to water, and fluid temperature to determine particle diameter.

3. Importance of Particle Diameter Calculation

Details: Accurate particle diameter determination is crucial for sediment transport studies, water treatment processes, and understanding sedimentation in natural and engineered systems.

4. Using the Calculator

Tips: Enter settling velocity in m/s, specific gravity (dimensionless), and temperature in °C. All values must be valid (Vsm > 0, G > 0, T > -273.15°C).

5. Frequently Asked Questions (FAQ)

Q1: What is the range of applicability for this equation?
A: The Modified Hazen's Equation is most accurate for small to medium-sized particles in water at temperatures between 0-30°C.

Q2: How does temperature affect the calculation?
A: Temperature affects fluid viscosity, which influences settling velocity. Higher temperatures generally result in faster settling rates.

Q3: What are typical values for specific gravity of sediment?
A: Most mineral sediments have specific gravity between 2.5-2.7, while organic sediments may have values closer to 1.0-1.5.

Q4: Are there limitations to this equation?
A: The equation assumes spherical particles and may be less accurate for non-spherical particles or in highly concentrated suspensions.

Q5: Can this equation be used for air or other fluids?
A: The Modified Hazen's Equation is specifically calibrated for water and may not be accurate for other fluids without modification.

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