Settling Velocity given Displacement Velocity for Fine Particles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity = Displacement Velocity/sqrt(8/Darcy Friction Factor)
Vs = vd/sqrt(8/f)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Settling Velocity - (Measured in Meter per Second) - Settling velocity refers to the terminal velocity of a particle in still fluid.
Displacement Velocity - (Measured in Meter per Second) - Displacement Velocity refers to the velocity associated with the displacement of an object.
Darcy Friction Factor - Darcy Friction Factor refers to the pressure loss due to friction along a given length of pipe to the velocity of the fluid flow.
STEP 1: Convert Input(s) to Base Unit
Displacement Velocity: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Darcy Friction Factor: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = vd/sqrt(8/f) --> 25/sqrt(8/0.5)
Evaluating ... ...
Vs = 6.25
STEP 3: Convert Result to Output's Unit
6.25 Meter per Second --> No Conversion Required
FINAL ANSWER
6.25 Meter per Second <-- Settling Velocity
(Calculation completed in 00.004 seconds)

Credits

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Settling Velocity Calculators

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​ Go Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient s*Liquid Density))
Settling Velocity with respect to Specific Gravity of Particle
​ Go Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient s))
Settling Velocity given Frictional Drag
​ Go Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient s*Liquid Density))
Settling Velocity given Particle Reynold's Number
​ Go Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)

Settling Velocity given Displacement Velocity for Fine Particles Formula

Settling Velocity = Displacement Velocity/sqrt(8/Darcy Friction Factor)
Vs = vd/sqrt(8/f)

What is Sedimentation?

Sedimentation is the tendency for particles in suspension to settle out of the fluid in which they are entrained and come to rest against a barrier. This is due to their motion through the fluid in response to the forces acting on them: these forces can be due to gravity, centrifugal acceleration, or electromagnetism.

How to Calculate Settling Velocity given Displacement Velocity for Fine Particles?

Settling Velocity given Displacement Velocity for Fine Particles calculator uses Settling Velocity = Displacement Velocity/sqrt(8/Darcy Friction Factor) to calculate the Settling Velocity, Settling Velocity given Displacement Velocity for Fine Particles formula is defined as the terminal velocity of particle in still fluid. Settling Velocity is denoted by Vs symbol.

How to calculate Settling Velocity given Displacement Velocity for Fine Particles using this online calculator? To use this online calculator for Settling Velocity given Displacement Velocity for Fine Particles, enter Displacement Velocity (vd) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Settling Velocity given Displacement Velocity for Fine Particles calculation can be explained with given input values -> 13.75 = 25/sqrt(8/0.5).

FAQ

What is Settling Velocity given Displacement Velocity for Fine Particles?
Settling Velocity given Displacement Velocity for Fine Particles formula is defined as the terminal velocity of particle in still fluid and is represented as Vs = vd/sqrt(8/f) or Settling Velocity = Displacement Velocity/sqrt(8/Darcy Friction Factor). Displacement Velocity refers to the velocity associated with the displacement of an object & Darcy Friction Factor refers to the pressure loss due to friction along a given length of pipe to the velocity of the fluid flow.
How to calculate Settling Velocity given Displacement Velocity for Fine Particles?
Settling Velocity given Displacement Velocity for Fine Particles formula is defined as the terminal velocity of particle in still fluid is calculated using Settling Velocity = Displacement Velocity/sqrt(8/Darcy Friction Factor). To calculate Settling Velocity given Displacement Velocity for Fine Particles, you need Displacement Velocity (vd) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Displacement Velocity & Darcy Friction Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Settling Velocity?
In this formula, Settling Velocity uses Displacement Velocity & Darcy Friction Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient s*Liquid Density))
  • Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient s*Liquid Density))
  • Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient s))
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