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Settling Velocity Given Frictional Drag Calculator

Settling Velocity Formula:

\[ V_s = \sqrt{\frac{2 \times F_D}{A \times C_D \times \rho_{liquid}}} \]

N
kg/m³

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1. What is Settling Velocity?

Settling velocity refers to the terminal velocity of a particle in still fluid. It is the constant speed that a particle achieves when the drag force equals the gravitational force acting on the particle.

2. How Does the Calculator Work?

The calculator uses the settling velocity formula:

\[ V_s = \sqrt{\frac{2 \times F_D}{A \times C_D \times \rho_{liquid}}} \]

Where:

Explanation: The formula calculates the terminal velocity of a particle based on the balance between drag force and other forces acting on the particle in a fluid medium.

3. Importance of Settling Velocity Calculation

Details: Settling velocity calculations are crucial in various engineering applications including sedimentation processes, wastewater treatment, particle separation, and environmental studies of particle transport in fluids.

4. Using the Calculator

Tips: Enter drag force in newtons, area in square meters, drag coefficient (dimensionless), and liquid density in kg/m³. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect settling velocity?
A: Settling velocity is affected by particle size, shape, density, fluid viscosity, and fluid density.

Q2: How does drag coefficient vary?
A: Drag coefficient depends on the Reynolds number and varies with flow regime (laminar, transitional, or turbulent).

Q3: What are typical settling velocity values?
A: Settling velocities range from very small values (microns per second) for fine particles to several meters per second for larger particles.

Q4: When is this formula applicable?
A: This formula is applicable for spherical particles in Newtonian fluids under steady-state conditions.

Q5: How does temperature affect settling velocity?
A: Temperature affects fluid density and viscosity, which in turn influence the drag force and settling velocity.

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