Surface Area with respect to Settling Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = Cross-Sectional Area*Falling Speed/Settling Velocity
A = Acs*v'/Vs
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 = Acs*v'/Vs --> 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 00.004 seconds)

Credits

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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 = Acs*v'/Vs

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 (Acs), Falling Speed (v') & Settling Velocity (Vs) 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 = Acs*v'/Vs 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 (Acs), Falling Speed (v') & Settling Velocity (Vs). 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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