Settling Velocity with respect to Dynamic Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity
vs = [g]*(ρp-ρliquid)*DE^2/18*μviscosity
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Density of Particle - (Measured in Kilogram per Cubic Meter) - Density of Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
Effective Particle Diameter - (Measured in Meter) - The Effective Particle Diameter is the diameter of the particles in a granular sample for which 10 percent of the total grains are smaller and 90 percent larger on a weight basis.
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.
STEP 1: Convert Input(s) to Base Unit
Density of Particle: 12 Gram per Cubic Millimeter --> 12000000 Kilogram per Cubic Meter (Check conversion here)
Liquid Density: 49 Kilogram per Cubic Meter --> 49 Kilogram per Cubic Meter No Conversion Required
Effective Particle Diameter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vs = [g]*(ρpliquid)*DE^2/18*μviscosity --> [g]*(12000000-49)*0.01^2/18*1.02
Evaluating ... ...
vs = 666.849477020183
STEP 3: Convert Result to Output's Unit
666.849477020183 Meter per Second --> No Conversion Required
FINAL ANSWER
666.849477020183 666.8495 Meter per Second <-- Settling Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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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 with respect to Dynamic Viscosity Formula

Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity
vs = [g]*(ρp-ρliquid)*DE^2/18*μviscosity

what is dynamic viscosity?

Dynamic viscosity is the resistance to movement of one layer of a fluid over another and is defined as Kinematic viscosity divided by density and is the ratio of viscous forces to inertia forces.

How to Calculate Settling Velocity with respect to Dynamic Viscosity?

Settling Velocity with respect to Dynamic Viscosity calculator uses Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity to calculate the Settling Velocity, The Settling Velocity with respect to Dynamic Viscosity formula is defined as the settling velocity (also referred to as the “sedimentation velocity”) is defined as the terminal velocity of a particle in still fluid. Settling Velocity is denoted by vs symbol.

How to calculate Settling Velocity with respect to Dynamic Viscosity using this online calculator? To use this online calculator for Settling Velocity with respect to Dynamic Viscosity, enter Density of Particle p), Liquid Density liquid), Effective Particle Diameter (DE) & Dynamic Viscosity viscosity) and hit the calculate button. Here is how the Settling Velocity with respect to Dynamic Viscosity calculation can be explained with given input values -> 666.8495 = [g]*(12000000-49)*0.01^2/18*1.02.

FAQ

What is Settling Velocity with respect to Dynamic Viscosity?
The Settling Velocity with respect to Dynamic Viscosity formula is defined as the settling velocity (also referred to as the “sedimentation velocity”) is defined as the terminal velocity of a particle in still fluid and is represented as vs = [g]*(ρpliquid)*DE^2/18*μviscosity or Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity. Density of Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3, Liquid Density is mass per unit volume of the liquid, The Effective Particle Diameter is the diameter of the particles in a granular sample for which 10 percent of the total grains are smaller and 90 percent larger on a weight basis & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
How to calculate Settling Velocity with respect to Dynamic Viscosity?
The Settling Velocity with respect to Dynamic Viscosity formula is defined as the settling velocity (also referred to as the “sedimentation velocity”) is defined as the terminal velocity of a particle in still fluid is calculated using Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity. To calculate Settling Velocity with respect to Dynamic Viscosity, you need Density of Particle p), Liquid Density liquid), Effective Particle Diameter (DE) & Dynamic Viscosity viscosity). With our tool, you need to enter the respective value for Density of Particle, Liquid Density, Effective Particle Diameter & Dynamic Viscosity 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 Density of Particle, Liquid Density, Effective Particle Diameter & Dynamic Viscosity. 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 = Drag Force/3*pi*Dynamic Viscosity*Diameter
  • 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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