Terminal Settling Velocity of Single Particle Calculator

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

✖Terminal Velocity of single particle is the velocity resulting from the action of accelerating and drag forces.ⓘ Terminal Settling Velocity of Single Particle [V_t]

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Formula

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Terminal Settling Velocity of Single Particle

Formula

`"V"_{"t"} = "V"/("∈")^"n"`

Example

`"0.198886m/s"="0.1m/s"/("0.75")^"2.39"`

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Terminal Settling Velocity of Single Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 .
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

Settling Velocity of Group of Particles: 0.1 Meter per Second --> 0.1 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_t = V/(∈)^n --> 0.1/(0.75)^2.39

Evaluating ... ...

V_t = 0.198885710202311

STEP 3: Convert Result to Output's Unit

0.198885710202311 Meter per Second --> No Conversion Required

FINAL ANSWER

0.198885710202311 ≈ 0.198886 Meter per Second <-- Terminal Velocity of Single Particle

(Calculation completed in 00.006 seconds)

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< 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

< 19 Important Formulas in Size Reduction Laws Calculators

Half of Gaps between Rolls

Go Half of Gap between Rolls = ((cos(Half Angle of Nip))*(Radius of Feed+Radius of Crushing Rolls))-Radius of Crushing Rolls

Area of Product given Crushing Efficiency

Go Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed

Radius of Feed in Smooth Roll Crusher

Go Radius of Feed = (Radius of Crushing Rolls+Half of Gap between Rolls)/cos(Half Angle of Nip)-Radius of Crushing Rolls

Critical Speed of Conical Ball Mill

Go Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt( [g]/(Radius of Ball Mill-Radius of Ball))

Area of Feed given Crushing Efficiency

Go Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area))

Projected Area of Solid Body

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

Energy Absorbed by Material while Crushing

Go Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency)

Crushing Efficiency

Go Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material

Radius of Ball Mill

Go Radius of Ball Mill = ([g]/(2*pi*Critical Speed of Conical Ball Mill)^2)+Radius of Ball

Terminal Settling Velocity of Single Particle

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

Power Consumption while Mill is Empty

Go Power Consumption While Mill is Empty = Power Consumption by Mill While Crushing-Power Consumption for Crushing Only

Power Consumption for Crushing only

Go Power Consumption for Crushing Only = Power Consumption by Mill While Crushing-Power Consumption While Mill is Empty

Mechanical Efficiency given Energy fed to System

Go Mechanical Efficiency in Terms of Energy Fed = Energy Absorbed By Unit Mass Of Feed/Energy Fed to Machine

Radius of Crushing Rolls

Go Radius of Crushing Rolls = (Maximum Diameter of Particle Nipped by Rolls-Half of Gap between Rolls)/0.04

Maximum Diameter of Particle Nipped by Rolls

Go Maximum Diameter of Particle Nipped by Rolls = 0.04*Radius of Crushing Rolls+Half of Gap between Rolls

Work required for Reduction of Particles

Go Work Required for Reduction of Particles = Power Required by Machine/Feed Rate to Machine

Product Diameter Based on Reduction Ratio

Go Product Diameter = Feed Diameter/Reduction Ratio

Feed Diameter based on Reduction Law

Go Feed Diameter = Reduction Ratio*Product Diameter

Reduction Ratio

Go Reduction Ratio = Feed Diameter/Product Diameter

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Sphericity of Cuboidal Particle

Go Sphericity of Cuboidal Particle = ((((Length*Breadth*Height)*(0.75/pi))^(1/3)^2)*4*pi)/(2*(Length*Breadth+Breadth*Height+Height*Length))

Sphericity of Cylindrical Particle

Go Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))

Pressure Gradient using Kozeny Carman Equation

Go Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)

Projected Area of Solid Body

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

Total Surface Area of Particle using Spericity

Go Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter)

Terminal Settling Velocity of Single Particle

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

Material Characteristic using Angle of Friction

Go Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction))

Sphericity of Particle

Go Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter)

Total Number of Particles in Mixture

Go Total Number of Particles in Mixture = Total Mass of Mixture/(Density Of Particle* Volume Of One Particle)

Energy Required to Crush Coarse Materials according to Bond's Law

Go Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)

Number of Particles

Go Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)

Fraction of Cycle Time used for Cake Formation

Go Fraction of Cycle Time Used For Cake Formation = Time Required For Cake Formation/Total Cycle Time

Time Required for Cake Formation

Go Time Required For Cake Formation = Fraction of Cycle Time Used For Cake Formation*Total Cycle Time

Specific Surface Area of Mixture

Go Specific Surface Area of Mixture = Total Surface Area/Total Mass of Mixture

Mass Mean Diameter

Go Mass Mean Diameter = (Mass Fraction*Size Of Particles Present In Fraction)

Sauter Mean Diameter

Go Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle)

Porosity or Void Fraction

Go Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed

Total Surface Area of Particles

Go Surface Area = Surface Area of One Particle*Number of Particles

Applied Pressure in Terms of Coefficient of Flowability for Solids

Go Applied Pressure = Normal Pressure/Coefficient of Flowability

Coefficient of Flowability of Solids

Go Coefficient of Flowability = Normal Pressure/Applied Pressure

Surface Shape Factor

Go Surface Shape Factor = 1/Sphericity of Particle

Terminal Settling Velocity of Single Particle Formula

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

How to Calculate Terminal Settling Velocity of Single Particle?

Terminal Settling Velocity of Single Particle calculator uses Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index to calculate the Terminal Velocity of Single Particle, Terminal Settling Velocity of Single Particle is the velocity resulting from the action of accelerating and drag forces. Terminal Velocity of Single Particle is denoted by V_t symbol.

How to calculate Terminal Settling Velocity of Single Particle using this online calculator? To use this online calculator for Terminal Settling Velocity of Single Particle, enter Settling Velocity of Group of Particles (V), Void fraction (∈) & Richardsonb Zaki Index (n) and hit the calculate button. Here is how the Terminal Settling Velocity of Single Particle calculation can be explained with given input values -> 0.198886 = 0.1/(0.75)^2.39.

FAQ

What is Terminal Settling Velocity of Single Particle?

Terminal Settling Velocity of Single Particle is the velocity resulting from the action of accelerating and drag forces and is represented as V_t = V/(∈)^n or Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index. Settling Velocity of Group of Particles is the velocity with which the particles settle , 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 Terminal Settling Velocity of Single Particle?

Terminal Settling Velocity of Single Particle is the velocity resulting from the action of accelerating and drag forces is calculated using Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index. To calculate Terminal Settling Velocity of Single Particle, you need Settling Velocity of Group of Particles (V), Void fraction (∈) & Richardsonb Zaki Index (n). With our tool, you need to enter the respective value for Settling Velocity of Group of Particles, 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.

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