Diameter Of Grain For Given Friction Factor Calculator

Formula Used:

\[ d' = \frac{(v_s)^2}{\frac{8 \cdot [g] \cdot k \cdot (G-1)}{f'}} \]

Diameter of Particle:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Diameter of Particle Formula?

The diameter of particle formula calculates the size of sediment particles based on self-cleansing velocity, dimensional constant, specific gravity, and friction factor. This calculation is essential for designing sewer systems that prevent sediment deposition.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d' = \frac{(v_s)^2}{\frac{8 \cdot [g] \cdot k \cdot (G-1)}{f'}} \]

Where:

\( d' \) — Diameter of particle (m)
\( v_s \) — Self cleansing velocity (m/s)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( k \) — Dimensional constant (0.04-0.08)
\( G \) — Specific gravity of sediment
\( f' \) — Friction factor

Explanation: The formula determines the minimum particle size that can be transported by a given flow velocity, considering sediment properties and pipe friction.

3. Importance of Particle Diameter Calculation

Details: Accurate particle diameter calculation is crucial for designing sewer systems that maintain self-cleansing velocities, preventing blockages and ensuring efficient wastewater transport.

4. Using the Calculator

Tips: Enter self cleansing velocity in m/s, dimensional constant (typically 0.04-0.08), specific gravity of sediment (must be >1), and friction factor. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is self cleansing velocity?
A: Self cleansing velocity refers to the minimum flow speed required in a sewer to prevent sediment deposition and maintain a clear flow path.

Q2: What values are typical for dimensional constant?
A: The dimensional constant typically ranges from 0.04 (start of scouring of clean grit) to 0.08 (full removal of sticky grit).

Q3: Why is specific gravity important?
A: Specific gravity indicates how heavy sediment particles are compared to water, affecting their transport behavior in flowing water.

Q4: How does friction factor affect the calculation?
A: The friction factor quantifies resistance to flow in a pipe, impacting the energy required to transport sediment particles.

Q5: What are typical applications of this calculation?
A: This calculation is used in sewer design, sediment transport studies, and hydraulic engineering to ensure proper system functionality.