Settling Velocity given Drag Force as per Stokes Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter
vs = FD/3*pi*μviscosity*D
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 80 Newton --> 80 Newton No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Diameter: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vs = FD/3*pi*μviscosity*D --> 80/3*pi*1.02*10
Evaluating ... ...
vs = 854.513201776424
STEP 3: Convert Result to Output's Unit
854.513201776424 Meter per Second --> No Conversion Required
FINAL ANSWER
854.513201776424 854.5132 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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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 Drag Force as per Stokes Law Formula

Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter
vs = FD/3*pi*μviscosity*D

what is stokes law?

Stokes Law, named after George Gabriel Stokes, describes the relationship between the frictional force of a sphere moving in a liquid and other quantities (such as particle radius and velocity of the particle).

How to Calculate Settling Velocity given Drag Force as per Stokes Law?

Settling Velocity given Drag Force as per Stokes Law calculator uses Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter to calculate the Settling Velocity, Settling Velocity given Drag Force as per Stokes Law is settling velocity (also referred to as “sedimentation velocity”) is terminal velocity of particle in still fluid. Settling Velocity is denoted by vs symbol.

How to calculate Settling Velocity given Drag Force as per Stokes Law using this online calculator? To use this online calculator for Settling Velocity given Drag Force as per Stokes Law, enter Drag Force (FD), Dynamic Viscosity viscosity) & Diameter (D) and hit the calculate button. Here is how the Settling Velocity given Drag Force as per Stokes Law calculation can be explained with given input values -> 854.5132 = 80/3*pi*1.02*10.

FAQ

What is Settling Velocity given Drag Force as per Stokes Law?
Settling Velocity given Drag Force as per Stokes Law is settling velocity (also referred to as “sedimentation velocity”) is terminal velocity of particle in still fluid and is represented as vs = FD/3*pi*μviscosity*D or Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter. Drag Force is the resisting force experienced by an object moving through a fluid, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
How to calculate Settling Velocity given Drag Force as per Stokes Law?
Settling Velocity given Drag Force as per Stokes Law is settling velocity (also referred to as “sedimentation velocity”) is terminal velocity of particle in still fluid is calculated using Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter. To calculate Settling Velocity given Drag Force as per Stokes Law, you need Drag Force (FD), Dynamic Viscosity viscosity) & Diameter (D). With our tool, you need to enter the respective value for Drag Force, Dynamic Viscosity & Diameter 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 Drag Force, Dynamic Viscosity & Diameter. 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 = [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
  • Settling Velocity = Falling Speed*Cross-Sectional Area/Area
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