Displacement Velocity for Fine Particles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)
vd = vs*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
Displacement velocity - (Measured in Meter per Second) - Displacement velocity is the velocity required to remove the sludge zone from sedimentation tank.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
STEP 1: Convert Input(s) to Base Unit
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Darcy Friction Factor: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vd = vs*sqrt(8/f) --> 1.5*sqrt(8/0.5)
Evaluating ... ...
vd = 6
STEP 3: Convert Result to Output's Unit
6 Meter per Second --> No Conversion Required
FINAL ANSWER
6 Meter per Second <-- Displacement velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has created this Calculator and 500+ more calculators!
Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has verified this Calculator and 600+ more calculators!

5 Displacement Velocity Calculators

Displacement Velocity by Camp
Go Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor)
Beta Constant given Displacement Velocity by Camp
Go Beta Constant = Displacement velocity^2*Darcy Friction Factor/(8*[g]*(Density of Particle-1)*Diameter)
Displacement Velocity for Fine Particles
Go Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)
Displacement Velocity when friction factor is 0.025
Go Displacement velocity = Settling Velocity*sqrt(8/0.025)
Displacement Velocity given Settling Velocity
Go Displacement velocity = 18*Settling Velocity

Displacement Velocity for Fine Particles Formula

Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)
vd = vs*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 Displacement Velocity for Fine Particles?

Displacement Velocity for Fine Particles calculator uses Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor) to calculate the Displacement velocity, The Displacement Velocity for Fine Particles is the velocity required to remove the sludge zone from sedimentation tank. Displacement velocity is denoted by vd symbol.

How to calculate Displacement Velocity for Fine Particles using this online calculator? To use this online calculator for Displacement Velocity for Fine Particles, enter Settling Velocity (vs) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Displacement Velocity for Fine Particles calculation can be explained with given input values -> 6 = 1.5*sqrt(8/0.5).

FAQ

What is Displacement Velocity for Fine Particles?
The Displacement Velocity for Fine Particles is the velocity required to remove the sludge zone from sedimentation tank and is represented as vd = vs*sqrt(8/f) or Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor). Settling velocity is defined as the terminal velocity of a particle in still fluid & Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
How to calculate Displacement Velocity for Fine Particles?
The Displacement Velocity for Fine Particles is the velocity required to remove the sludge zone from sedimentation tank is calculated using Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor). To calculate Displacement Velocity for Fine Particles, you need Settling Velocity (vs) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Settling 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 Displacement velocity?
In this formula, Displacement velocity uses Settling Velocity & Darcy Friction Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor)
  • Displacement velocity = Settling Velocity*sqrt(8/0.025)
  • Displacement velocity = 18*Settling Velocity
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!