Settling Velocity of Group of Particles Calculator

✖Terminal Velocity of single particle is the velocity resulting from the action of accelerating and drag forces.ⓘ Terminal Velocity of Single Particle [V_t]			+10% -10%
✖Void fraction the fraction of the channel volume that is occupied by the gas phase.ⓘ Void fraction [∈]			+10% -10%
✖Richardsonb Zaki Index is the the fractional volumetric concentration of solid.ⓘ Richardsonb Zaki Index [n]			+10% -10%

✖Settling Velocity of Group of Particles is the velocity with which the particles settle .ⓘ Settling Velocity of Group of Particles [V]

⎘ Copy

👎

Formula

✖

Settling Velocity of Group of Particles

Formula

`"V" = "V"_{"t"}*("∈")^"n"`

Example

`"0.099555m/s"="0.198m/s"*("0.75")^"2.39"`

Calculator

LaTeX

Reset

👍

Download Mechanical Operations Formula PDF PDF Image

Settling Velocity of Group of Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity of Group of Particles = Terminal Velocity of Single Particle*(Void fraction)^Richardsonb Zaki Index
V = V_t*(∈)^n
This formula uses 4 Variables

Variables Used

Settling Velocity of Group of Particles - (Measured in Meter per Second) - Settling Velocity of Group of Particles is the velocity with which the particles settle .
Terminal Velocity of Single Particle - (Measured in Meter per Second) - Terminal Velocity of single particle is the velocity resulting from the action of accelerating and drag forces.
Void fraction - Void fraction the fraction of the channel volume that is occupied by the gas phase.
Richardsonb Zaki Index - Richardsonb Zaki Index is the the fractional volumetric concentration of solid.

STEP 1: Convert Input(s) to Base Unit

Terminal Velocity of Single Particle: 0.198 Meter per Second --> 0.198 Meter per Second No Conversion Required
Void fraction: 0.75 --> No Conversion Required
Richardsonb Zaki Index: 2.39 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = V_t*(∈)^n --> 0.198*(0.75)^2.39

Evaluating ... ...

V = 0.0995546637305364

STEP 3: Convert Result to Output's Unit

0.0995546637305364 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0995546637305364 ≈ 0.099555 Meter per Second <-- Settling Velocity of Group of Particles

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Mechanical Operations » Size Separation » Settling Velocity of Group of Particles

Credits

Created by Harsh Kadam

Shri Guru Gobind Singhji Institute of Engineering and Technology (SGGS), Nanded

Harsh Kadam has created this Calculator and 50+ more calculators!

Verified by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has verified this Calculator and 200+ more calculators!

< 3 Size Separation Calculators

Projected Area of Solid Body

Go Projected Area of Solid Particle Body = 2*(Drag Force)/(Drag Coefficient*Density of Liquid*(Velocity of Liquid)^(2))

Terminal Settling Velocity of Single Particle

Go Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index

Settling Velocity of Group of Particles

Go Settling Velocity of Group of Particles = Terminal Velocity of Single Particle*(Void fraction)^Richardsonb Zaki Index

Settling Velocity of Group of Particles Formula

Settling Velocity of Group of Particles = Terminal Velocity of Single Particle*(Void fraction)^Richardsonb Zaki Index
V = V_t*(∈)^n

What is Drag force?

Drag force is the resistance force of a fluid. This force applies acting opposite towards the motion of the object which is moving submerge in a certain fluid. Thus Drag Force is defined as the force which resists the motion of a body with fluid.

What is Terminal Velocity?

The terminal Velocity refers to the settling velocity of a single particle in the suspension, assuming it's isolated and not interacting with other particles.

How to Calculate Settling Velocity of Group of Particles?

Settling Velocity of Group of Particles calculator uses Settling Velocity of Group of Particles = Terminal Velocity of Single Particle*(Void fraction)^Richardsonb Zaki Index to calculate the Settling Velocity of Group of Particles, The Settling Velocity of Group of Particles is defined as the average settling velocity of the entire group of particles in the suspension. Settling Velocity of Group of Particles is denoted by V symbol.

How to calculate Settling Velocity of Group of Particles using this online calculator? To use this online calculator for Settling Velocity of Group of Particles, enter Terminal Velocity of Single Particle (V_t), Void fraction (∈) & Richardsonb Zaki Index (n) and hit the calculate button. Here is how the Settling Velocity of Group of Particles calculation can be explained with given input values -> 0.099555 = 0.198*(0.75)^2.39.

FAQ

What is Settling Velocity of Group of Particles?

The Settling Velocity of Group of Particles is defined as the average settling velocity of the entire group of particles in the suspension and is represented as V = V_t*(∈)^n or Settling Velocity of Group of Particles = Terminal Velocity of Single Particle*(Void fraction)^Richardsonb Zaki Index. Terminal Velocity of single particle is the velocity resulting from the action of accelerating and drag forces, Void fraction the fraction of the channel volume that is occupied by the gas phase & Richardsonb Zaki Index is the the fractional volumetric concentration of solid.

How to calculate Settling Velocity of Group of Particles?

The Settling Velocity of Group of Particles is defined as the average settling velocity of the entire group of particles in the suspension is calculated using Settling Velocity of Group of Particles = Terminal Velocity of Single Particle*(Void fraction)^Richardsonb Zaki Index. To calculate Settling Velocity of Group of Particles, you need Terminal Velocity of Single Particle (V_t), Void fraction (∈) & Richardsonb Zaki Index (n). With our tool, you need to enter the respective value for Terminal Velocity of Single Particle, Void fraction & Richardsonb Zaki Index and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search