Settling Velocity given Surface Area with respect to Settling Velocity Calculator

✖The Falling Speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle.ⓘ Falling Speed [v^']			+10% -10%
✖The Cross-Sectional Area of a sedimentation tank refers to the vertical slice of the tank, typically viewed from the side, that shows the depth and width.ⓘ Cross-Sectional Area [A_cs]			+10% -10%
✖The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.ⓘ Area [A]			+10% -10%

✖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 given Surface Area with respect to Settling Velocity [V_s]

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Formula

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Settling Velocity given Surface Area with respect to Settling Velocity

Formula

V s = v' \cdot \frac{A cs}{A}

Example

0.026 m/s = 0.1 m/s \cdot \frac{13 m²}{50 m²}

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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) - 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.
Falling Speed - (Measured in Meter per Second) - The Falling Speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle.
Cross-Sectional Area - (Measured in Square Meter) - The Cross-Sectional Area of a sedimentation tank refers to the vertical slice of the tank, typically viewed from the side, that shows the depth and width.
Area - (Measured in Square Meter) - The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.

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 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Settling Velocity Calculators

Settling Velocity

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

Settling Velocity with respect to Specific Gravity of Particle

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

Settling Velocity given Frictional Drag

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

Settling Velocity given Particle Reynold's Number

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

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. The Falling Speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle, The Cross-Sectional Area of a sedimentation tank refers to the vertical slice of the tank, typically viewed from the side, that shows the depth and width & The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.

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 3 other way(s) to calculate the same, which is/are as follows -

Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient s*Liquid Density))
Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient s*Liquid Density))
Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient s))

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