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
Vs = v'*Acs/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 refers to 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 refers to the measure of the extent of a two-dimensional surface or shape in a plane.
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
Vs = v'*Acs/A --> 0.1*13/50
Evaluating ... ...
Vs = 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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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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Settling Velocity given Particle Reynold's Number
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Settling Velocity given Surface Area with respect to Settling Velocity Formula

Settling Velocity = Falling Speed*Cross-Sectional Area/Area
Vs = v'*Acs/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 Vs 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 (Acs) & 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 Vs = v'*Acs/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 refers to 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 refers to the measure of the extent of a two-dimensional surface or shape in a plane.
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 (Acs) & 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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