Surface Area with respect to Settling Velocity Calculator

✖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 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 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 [V_s]			+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.ⓘ Surface Area with respect to Settling Velocity [A]

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Surface Area with respect to Settling Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Falling Speed: 0.1 Meter per Second --> 0.1 Meter per Second No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = A_cs*v^'/V_s --> 13*0.1/1.5

Evaluating ... ...

A = 0.866666666666667

STEP 3: Convert Result to Output's Unit

0.866666666666667 Square Meter --> No Conversion Required

FINAL ANSWER

0.866666666666667 ≈ 0.866667 Square Meter <-- Area

(Calculation completed in 00.020 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Birsa Institute of Technology (BIT), Sindri

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< Surface Area of Sedimentation Tank Calculators

Surface Area given Length of Sedimentation Tank with respect to Surface Area

LaTeX Go Area = Length of Sedimentation Tank*Cross-Sectional Area/Height of Crack

Surface Area with respect to Settling Velocity

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

Surface Area with respect to Darcy Weishbach Friction Factor

LaTeX Go Area = Cross-Sectional Area*sqrt(8/Darcy Friction Factor)

Surface Area of Sedimentation Tank

LaTeX Go Area = Width*Length of Sedimentation Tank

Surface Area with respect to Settling Velocity Formula

LaTeX Go

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

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 Surface Area with respect to Settling Velocity?

Surface Area with respect to Settling Velocity calculator uses Area = Cross-Sectional Area*Falling Speed/Settling Velocity to calculate the Area, The Surface Area with respect to Settling Velocity formula is defined as the horizontal area of the tank that is exposed to the settling process. It plays a significant role in the efficiency of particle removal during sedimentation. Area is denoted by A symbol.

How to calculate Surface Area with respect to Settling Velocity using this online calculator? To use this online calculator for Surface Area with respect to Settling Velocity, enter Cross-Sectional Area (A_cs), Falling Speed (v^') & Settling Velocity (V_s) and hit the calculate button. Here is how the Surface Area with respect to Settling Velocity calculation can be explained with given input values -> 0.866667 = 13*0.1/1.5.

FAQ

What is Surface Area with respect to Settling Velocity?

The Surface Area with respect to Settling Velocity formula is defined as the horizontal area of the tank that is exposed to the settling process. It plays a significant role in the efficiency of particle removal during sedimentation and is represented as A = A_cs*v^'/V_s or Area = Cross-Sectional Area*Falling Speed/Settling Velocity. 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 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 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.

How to calculate Surface Area with respect to Settling Velocity?

The Surface Area with respect to Settling Velocity formula is defined as the horizontal area of the tank that is exposed to the settling process. It plays a significant role in the efficiency of particle removal during sedimentation is calculated using Area = Cross-Sectional Area*Falling Speed/Settling Velocity. To calculate Surface Area with respect to Settling Velocity, you need Cross-Sectional Area (A_cs), Falling Speed (v^') & Settling Velocity (V_s). With our tool, you need to enter the respective value for Cross-Sectional Area, Falling Speed & Settling Velocity 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 Area?

In this formula, Area uses Cross-Sectional Area, Falling Speed & Settling Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area = Width*Length of Sedimentation Tank
Area = Length of Sedimentation Tank*Cross-Sectional Area/Height of Crack
Area = Cross-Sectional Area*sqrt(8/Darcy Friction Factor)

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