Settling Velocity given Surface Area with respect to Settling Velocity Calculator

✖Falling Speed is the speed of the particle having smaller diameter.ⓘ Falling Speed [v^']			+10% -10%
✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A_cs]			+10% -10%
✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%

✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity given Surface Area with respect to Settling Velocity [v_s]

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Settling Velocity given Surface Area with respect to Settling Velocity

Formula

`"v"_{"s"} = "v"^{"'"}*"A"_{"cs"}/"A"`

Example

`"0.026m/s"="0.1m/s"*"13m²"/"50m²"`

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Settling Velocity given Surface Area with respect to Settling Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity = Falling Speed*Cross-Sectional Area/Area
v_s = v^'*A_cs/A
This formula uses 4 Variables

Variables Used

Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Falling Speed - (Measured in Meter per Second) - Falling Speed is the speed of the particle having smaller diameter.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.

STEP 1: Convert Input(s) to Base Unit

Falling Speed: 0.1 Meter per Second --> 0.1 Meter per Second No Conversion Required
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = v^'*A_cs/A --> 0.1*13/50

Evaluating ... ...

v_s = 0.026

STEP 3: Convert Result to Output's Unit

0.026 Meter per Second --> No Conversion Required

FINAL ANSWER

0.026 Meter per Second <-- Settling Velocity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1: Sedimentation » Settling Velocity » Settling Velocity given Surface Area with respect to Settling Velocity

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 given Surface Area with respect to Settling Velocity Formula

Settling Velocity = Falling Speed*Cross-Sectional Area/Area
v_s = v^'*A_cs/A

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.

How to Calculate Settling Velocity given Surface Area with respect to Settling Velocity?

Settling Velocity given Surface Area with respect to Settling Velocity calculator uses Settling Velocity = Falling Speed*Cross-Sectional Area/Area to calculate the Settling Velocity, Settling Velocity given Surface Area with respect to Settling Velocity formula is defined as settling velocity (also referred to as “sedimentation velocity”) is defined as terminal velocity of particle in still fluid. Settling Velocity is denoted by v_s symbol.

How to calculate Settling Velocity given Surface Area with respect to Settling Velocity using this online calculator? To use this online calculator for Settling Velocity given Surface Area with respect to Settling Velocity, enter Falling Speed (v^'), Cross-Sectional Area (A_cs) & Area (A) and hit the calculate button. Here is how the Settling Velocity given Surface Area with respect to Settling Velocity calculation can be explained with given input values -> 0.026 = 0.1*13/50.

FAQ

What is Settling Velocity given Surface Area with respect to Settling Velocity?

Settling Velocity given Surface Area with respect to Settling Velocity formula is defined as settling velocity (also referred to as “sedimentation velocity”) is defined as terminal velocity of particle in still fluid and is represented as v_s = v^'*A_cs/A or Settling Velocity = Falling Speed*Cross-Sectional Area/Area. Falling Speed is the speed of the particle having smaller diameter, Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & The area is the amount of two-dimensional space taken up by an object.

How to calculate Settling Velocity given Surface Area with respect to Settling Velocity?

Settling Velocity given Surface Area with respect to Settling Velocity formula is defined as settling velocity (also referred to as “sedimentation velocity”) is defined as terminal velocity of particle in still fluid is calculated using Settling Velocity = Falling Speed*Cross-Sectional Area/Area. To calculate Settling Velocity given Surface Area with respect to Settling Velocity, you need Falling Speed (v^'), Cross-Sectional Area (A_cs) & Area (A). With our tool, you need to enter the respective value for Falling Speed, Cross-Sectional Area & Area 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 Falling Speed, Cross-Sectional Area & Area. 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 = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient))
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

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