Settling Velocity given Particle Reynold's Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)
vs = μviscosity*Re/(ρliquid*D)
This formula uses 5 Variables
Variables Used
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still 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.
Reynolds Number - Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
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
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Reynolds Number: 5000 --> No Conversion Required
Liquid Density: 49 Kilogram per Cubic Meter --> 49 Kilogram per Cubic Meter No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vs = μviscosity*Re/(ρliquid*D) --> 1.02*5000/(49*10)
Evaluating ... ...
vs = 10.4081632653061
STEP 3: Convert Result to Output's Unit
10.4081632653061 Meter per Second --> No Conversion Required
FINAL ANSWER
10.4081632653061 10.40816 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 Particle Reynold's Number Formula

Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)
vs = μviscosity*Re/(ρliquid*D)

What is reynolds number?

The Reynolds number for an object moving in a fluid, called the particle Reynolds number and often denoted Rep, characterizes the nature of the surrounding flow and its fall velocity.

How to Calculate Settling Velocity given Particle Reynold's Number?

Settling Velocity given Particle Reynold's Number calculator uses Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter) to calculate the Settling Velocity, Settling Velocity given Particle Reynold's Number is defined as terminal velocity of particle in still fluid. Settling Velocity is denoted by vs symbol.

How to calculate Settling Velocity given Particle Reynold's Number using this online calculator? To use this online calculator for Settling Velocity given Particle Reynold's Number, enter Dynamic Viscosity viscosity), Reynolds Number (Re), Liquid Density liquid) & Diameter (D) and hit the calculate button. Here is how the Settling Velocity given Particle Reynold's Number calculation can be explained with given input values -> 10.40816 = 1.02*5000/(49*10).

FAQ

What is Settling Velocity given Particle Reynold's Number?
Settling Velocity given Particle Reynold's Number is defined as terminal velocity of particle in still fluid and is represented as vs = μviscosity*Re/(ρliquid*D) or Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities, Liquid Density is mass per unit volume of the liquid & 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 Particle Reynold's Number?
Settling Velocity given Particle Reynold's Number is defined as terminal velocity of particle in still fluid is calculated using Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter). To calculate Settling Velocity given Particle Reynold's Number, you need Dynamic Viscosity viscosity), Reynolds Number (Re), Liquid Density liquid) & Diameter (D). With our tool, you need to enter the respective value for Dynamic Viscosity, Reynolds Number, Liquid Density & 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 Dynamic Viscosity, Reynolds Number, Liquid Density & 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 = Drag Force/3*pi*Dynamic Viscosity*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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