Settling Velocity with respect to Kinematic Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity
Vs = [g]*(SG-Gf)*D^2/18*ν
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 refers to the terminal velocity of a particle in still fluid.
Specific Gravity of Material - Specific Gravity of Material is a dimensionless unit defined as the ratio of the density of the material to the density of water at a specified temperature.
Specific Gravity of Fluid - Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.
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.
Kinematic Viscosity - (Measured in Square Meter per Second) - The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
STEP 1: Convert Input(s) to Base Unit
Specific Gravity of Material: 15 --> No Conversion Required
Specific Gravity of Fluid: 14 --> No Conversion Required
Diameter: 0.06 Meter --> 0.06 Meter No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = [g]*(SG-Gf)*D^2/18*ν --> [g]*(15-14)*0.06^2/18*0.000725
Evaluating ... ...
Vs = 1.42196425E-06
STEP 3: Convert Result to Output's Unit
1.42196425E-06 Meter per Second --> No Conversion Required
FINAL ANSWER
1.42196425E-06 1.4E-6 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 Calculators

Settling Velocity
​ Go Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient s*Liquid Density))
Settling Velocity with respect to Specific Gravity of Particle
​ Go Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient s))
Settling Velocity given Frictional Drag
​ Go Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient s*Liquid Density))
Settling Velocity given Particle Reynold's Number
​ Go Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)

Settling Velocity with respect to Kinematic Viscosity Formula

Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity
Vs = [g]*(SG-Gf)*D^2/18*ν

What is Kinematic Viscosity?

Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces. It is determined by measuring the time in seconds, required for a fixed volume of fluid to flow a known distance by gravity through a capillary within a calibrated viscometer at a closely controlled temperature.

How to Calculate Settling Velocity with respect to Kinematic Viscosity?

Settling Velocity with respect to Kinematic Viscosity calculator uses Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity to calculate the Settling Velocity, The Settling Velocity with respect to Kinematic Viscosity formula is defined as the speed at which a particle falls through a fluid under the influence of gravity. Settling Velocity is denoted by Vs symbol.

How to calculate Settling Velocity with respect to Kinematic Viscosity using this online calculator? To use this online calculator for Settling Velocity with respect to Kinematic Viscosity, enter Specific Gravity of Material (SG), Specific Gravity of Fluid (Gf), Diameter (D) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Settling Velocity with respect to Kinematic Viscosity calculation can be explained with given input values -> 0.039499 = [g]*(15-14)*0.06^2/18*0.000725.

FAQ

What is Settling Velocity with respect to Kinematic Viscosity?
The Settling Velocity with respect to Kinematic Viscosity formula is defined as the speed at which a particle falls through a fluid under the influence of gravity and is represented as Vs = [g]*(SG-Gf)*D^2/18*ν or Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity. Specific Gravity of Material is a dimensionless unit defined as the ratio of the density of the material to the density of water at a specified temperature, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
How to calculate Settling Velocity with respect to Kinematic Viscosity?
The Settling Velocity with respect to Kinematic Viscosity formula is defined as the speed at which a particle falls through a fluid under the influence of gravity is calculated using Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity. To calculate Settling Velocity with respect to Kinematic Viscosity, you need Specific Gravity of Material (SG), Specific Gravity of Fluid (Gf), Diameter (D) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Specific Gravity of Material, Specific Gravity of Fluid, Diameter & Kinematic 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 Specific Gravity of Material, Specific Gravity of Fluid, Diameter & Kinematic Viscosity. 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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