Diameter Given Displacement Velocity By Camp Calculator

Camp Equation:

\[ D = \frac{v_d^2 \times f}{8 \times \beta \times [g] \times (\rho_p - 1)} \]

Displacement Velocity (vd):

m/s

Darcy Friction Factor (f):

Beta Constant (β):

Density of Particle (ρp):

kg/m³

Diameter (D):

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1. What is the Camp Equation?

The Camp equation calculates the diameter of particles based on displacement velocity, friction factor, beta constant, and particle density. It's commonly used in sedimentation and fluid mechanics applications to determine particle size in various flow conditions.

2. How Does the Calculator Work?

The calculator uses the Camp equation:

\[ D = \frac{v_d^2 \times f}{8 \times \beta \times [g] \times (\rho_p - 1)} \]

Where:

\( D \) — Diameter (m)
\( v_d \) — Displacement Velocity (m/s)
\( f \) — Darcy Friction Factor (-)
\( \beta \) — Beta Constant (-)
\( [g] \) — Gravitational Acceleration (9.80665 m/s²)
\( \rho_p \) — Density of Particle (kg/m³)

Explanation: The equation relates particle diameter to its settling characteristics in a fluid medium, accounting for gravitational forces and fluid resistance.

3. Importance of Diameter Calculation

Details: Accurate diameter calculation is crucial for sediment transport studies, water treatment processes, and understanding particle behavior in fluid systems.

4. Using the Calculator

Tips: Enter displacement velocity in m/s, Darcy friction factor, beta constant, and particle density in kg/m³. All values must be positive, and particle density must be greater than 1.

5. Frequently Asked Questions (FAQ)

Q1: What is displacement velocity in this context?
A: Displacement velocity refers to the velocity at which particles settle or move through a fluid medium under gravitational influence.

Q2: How is Darcy friction factor determined?
A: Darcy friction factor depends on flow regime (laminar or turbulent) and can be calculated using Reynolds number and pipe roughness.

Q3: What is the typical range for beta constant?
A: Beta constant varies depending on particle shape and flow conditions, typically ranging from 0.3 to 1.2 for different applications.

Q4: Why is particle density important?
A: Particle density affects settling velocity - denser particles settle faster due to greater gravitational force relative to buoyancy.

Q5: What are common applications of this equation?
A: Used in water treatment sedimentation tanks, sediment transport modeling, and particle size analysis in environmental engineering.