Displacement Velocity for Fine Particles Calculator

✖The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed.ⓘ Settling Velocity [V_s]			+10% -10%
✖The Darcy Friction Factor refers to the pressure loss due to friction along a given length of pipe to the velocity of the fluid flow.ⓘ Darcy Friction Factor [f]			+10% -10%

✖Displacement Velocity refers to the speed at which a particle or object moves through a fluid or medium due to an external force, such as pressure or gravity.ⓘ Displacement Velocity for Fine Particles [v_d]

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Displacement Velocity for Fine Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement Velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)
v_d = V_s*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 refers to the speed at which a particle or object moves through a fluid or medium due to an external force, such as pressure or gravity.
Settling Velocity - (Measured in Meter per Second) - The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed.
Darcy Friction Factor - The 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

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

v_d = V_s*sqrt(8/f) --> 1.5*sqrt(8/0.5)

Evaluating ... ...

v_d = 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 00.020 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Birsa Institute of Technology (BIT), Sindri

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Displacement Velocity for Fine Particles

LaTeX Go Displacement Velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)

Displacement Velocity when friction factor is 0.025

LaTeX Go Displacement Velocity = Settling Velocity*sqrt(8/0.025)

Displacement Velocity given Settling Velocity

LaTeX Go Displacement Velocity = 18*Settling Velocity

Displacement Velocity for Fine Particles Formula

LaTeX Go

Displacement Velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)
v_d = V_s*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 formula is defined as the velocity required to remove the sludge zone from sedimentation tank. Displacement Velocity is denoted by v_d 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 (V_s) & 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 formula is defined as the velocity required to remove the sludge zone from sedimentation tank and is represented as v_d = V_s*sqrt(8/f) or Displacement Velocity = Settling Velocity*sqrt(8/Darcy Friction Factor). The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed & The 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 Displacement Velocity for Fine Particles?

The Displacement Velocity for Fine Particles formula is defined as 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 (V_s) & 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 2 other way(s) to calculate the same, which is/are as follows -

Displacement Velocity = Settling Velocity*sqrt(8/0.025)
Displacement Velocity = 18*Settling Velocity

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