Settling Velocity with respect to Specific Gravity of Particle Calculator

✖Specific Gravity of Material is a dimensionless unit defined as the ratio of the density of the material to the density of water at a specified temperature.ⓘ Specific Gravity of Material [SG]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Drag Coefficient [C_D]			+10% -10%

✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity with respect to Specific Gravity of Particle [v_s]

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Formula

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Settling Velocity with respect to Specific Gravity of Particle

Formula

`"v"_{"s"} = sqrt((4*"[g]"*("SG"-1)*"D")/(3*"C"_{"D"}))`

Example

`"7.811476m/s"=sqrt((4*"[g]"*("15"-1)*"10m")/(3*"30"))`

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Settling Velocity with respect to Specific Gravity of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient))
v_s = sqrt((4*[g]*(SG-1)*D)/(3*C_D))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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 is defined as the terminal velocity of a particle in still fluid.
Specific Gravity of Material - Specific Gravity of Material is a dimensionless unit defined as the ratio of the density of the material to the density of water at a specified temperature.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

STEP 1: Convert Input(s) to Base Unit

Specific Gravity of Material: 15 --> No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required
Drag Coefficient: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = sqrt((4*[g]*(SG-1)*D)/(3*C_D)) --> sqrt((4*[g]*(15-1)*10)/(3*30))

Evaluating ... ...

v_s = 7.81147588843207

STEP 3: Convert Result to Output's Unit

7.81147588843207 Meter per Second --> No Conversion Required

FINAL ANSWER

7.81147588843207 ≈ 7.811476 Meter per Second <-- Settling Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1: Sedimentation » Settling Velocity » Settling Velocity with respect to Specific Gravity of Particle

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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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< 19 Settling Velocity Calculators

Settling Velocity

Go Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient*Liquid Density))

Settling Velocity with respect to Kinematic Viscosity

Go Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity

Settling Velocity with respect to Dynamic Viscosity

Go Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity

Settling Velocity using Temperature in Fahrenheit

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Effective Particle Diameter^2*((Outside Temperature+10)/60)

Settling Velocity with respect to Specific Gravity of Particle

Go Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient))

Settling Velocity given Celsius for diameter greater than 0.1mm

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(3*Temperature in Fahrenheit+70)/100

Settling Velocity given Fahrenheit for diameter greater than 0.1mm

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(Temperature in Fahrenheit+10)/60

Settling Velocity given degree Celsius

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2*((3*Temperature+70)/100)

Settling Velocity given Frictional Drag

Go Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density))

Settling Velocity given Specific Gravity of Particle and Viscosity

Go Settling Velocity = [g]*(Specific gravity of particle-1)*Diameter^2/18*Kinematic Viscosity

Settling Velocity given Particle Reynold's Number

Go Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)

Settling Velocity given Drag Force as per Stokes Law

Go Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter

Settling Velocity at 10 degree Celsius

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2

Settling Velocity given Displacement Velocity for Fine Particles

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

Settling Velocity given Height at Outlet Zone with respect to Settling Velocity

Go Settling Velocity = Falling Speed*Height of Crack/Outer Height

Settling Velocity given Surface Area with respect to Settling Velocity

Go Settling Velocity = Falling Speed*Cross-Sectional Area/Area

Settling Velocity given Ratio of Removal with respect to Settling Velocity

Go Settling Velocity = Falling Speed/Removal Ratio

Surface Loading with respect to Settling Velocity

Go Surface loading rate = 864000*Settling Velocity

Settling Velocity given Displacement Velocity with Settling Velocity

Go Settling Velocity = Displacement velocity/18

Settling Velocity with respect to Specific Gravity of Particle Formula

Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient))
v_s = sqrt((4*[g]*(SG-1)*D)/(3*C_D))

What is specific gravity?

The specific gravity is the ratio between the density of an object, and a reference substance. The specific gravity can tell, based on its value, if the object will sink or float in our reference substance.

How to Calculate Settling Velocity with respect to Specific Gravity of Particle?

Settling Velocity with respect to Specific Gravity of Particle calculator uses Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient)) to calculate the Settling Velocity, The Settling Velocity with respect to Specific Gravity of Particle is defined as the terminal velocity of a particle in still fluid. Settling Velocity is denoted by v_s symbol.

How to calculate Settling Velocity with respect to Specific Gravity of Particle using this online calculator? To use this online calculator for Settling Velocity with respect to Specific Gravity of Particle, enter Specific Gravity of Material (SG), Diameter (D) & Drag Coefficient (C_D) and hit the calculate button. Here is how the Settling Velocity with respect to Specific Gravity of Particle calculation can be explained with given input values -> 7.811476 = sqrt((4*[g]*(15-1)*10)/(3*30)).

FAQ

What is Settling Velocity with respect to Specific Gravity of Particle?

The Settling Velocity with respect to Specific Gravity of Particle is defined as the terminal velocity of a particle in still fluid and is represented as v_s = sqrt((4*[g]*(SG-1)*D)/(3*C_D)) or Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient)). Specific Gravity of Material is a dimensionless unit defined as the ratio of the density of the material to the density of water at a specified temperature, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

How to calculate Settling Velocity with respect to Specific Gravity of Particle?

The Settling Velocity with respect to Specific Gravity of Particle is defined as the terminal velocity of a particle in still fluid is calculated using Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient)). To calculate Settling Velocity with respect to Specific Gravity of Particle, you need Specific Gravity of Material (SG), Diameter (D) & Drag Coefficient (C_D). With our tool, you need to enter the respective value for Specific Gravity of Material, Diameter & Drag Coefficient 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 Specific Gravity of Material, Diameter & Drag Coefficient. We can use 17 other way(s) to calculate the same, which is/are as follows -

Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density))
Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient*Liquid Density))
Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)
Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter
Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity
Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity
Settling Velocity = [g]*(Specific gravity of particle-1)*Diameter^2/18*Kinematic Viscosity
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Effective Particle Diameter^2*((Outside Temperature+10)/60)
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2*((3*Temperature+70)/100)
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(Temperature in Fahrenheit+10)/60
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(3*Temperature in Fahrenheit+70)/100
Settling Velocity = Falling Speed*Height of Crack/Outer Height
Settling Velocity = Displacement velocity/sqrt(8/Darcy Friction Factor)
Settling Velocity = Displacement velocity/18
Settling Velocity = Falling Speed/Removal Ratio
Settling Velocity = Falling Speed*Cross-Sectional Area/Area

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