Settling Velocity of Spherical Particle Calculator

✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water.ⓘ Specific Gravity of Sediment [G]			+10% -10%
✖Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.ⓘ Diameter of Particle [D_p]			+10% -10%
✖The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [ν]			+10% -10%

✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity of Spherical Particle [v_s]

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Settling Velocity of Spherical Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity)
v_s = (g/18)*(G-1)*((D_p)^2/ν)
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water.
Diameter of Particle - (Measured in Meter) - Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.
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

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Specific Gravity of Sediment: 1.3 --> No Conversion Required
Diameter of Particle: 0.01 Meter --> 0.01 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

v_s = (g/18)*(G-1)*((D_p)^2/ν) --> (9.8/18)*(1.3-1)*((0.01)^2/0.000725)

Evaluating ... ...

v_s = 0.0225287356321839

STEP 3: Convert Result to Output's Unit

0.0225287356321839 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0225287356321839 ≈ 0.022529 Meter per Second <-- Settling Velocity

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Settling Velocity of Particle Calculators

Settling Velocity of Spherical Particle given Coefficient of Drag

Go Settling Velocity = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag))

Settling Velocity given Specific Gravity of Particle

Go Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific Gravity of Sediment-1)*Diameter of Particle)/Coefficient of Drag)

Settling Velocity of Spherical Particle

Go Settling Velocity = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity)

Settling Velocity of Spherical Particle given Reynold Number

Go Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter

Settling Velocity of Spherical Particle Formula

Settling Velocity = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity)
v_s = (g/18)*(G-1)*((D_p)^2/ν)

What is settling velocity ?

The settling velocity (also referred to as the “sedimentation velocity”) is defined as the terminal velocity of a particle in still fluid.

How to Calculate Settling Velocity of Spherical Particle?

Settling Velocity of Spherical Particle calculator uses Settling Velocity = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity) to calculate the Settling Velocity, The Settling Velocity of Spherical Particle is defined as the speed at which a particle falls through a still fluid. Settling Velocity is denoted by v_s symbol.

How to calculate Settling Velocity of Spherical Particle using this online calculator? To use this online calculator for Settling Velocity of Spherical Particle, enter Acceleration due to Gravity (g), Specific Gravity of Sediment (G), Diameter of Particle (D_p) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Settling Velocity of Spherical Particle calculation can be explained with given input values -> 0.022529 = (9.8/18)*(1.3-1)*((0.01)^2/0.000725).

FAQ

What is Settling Velocity of Spherical Particle?

The Settling Velocity of Spherical Particle is defined as the speed at which a particle falls through a still fluid and is represented as v_s = (g/18)*(G-1)*((D_p)^2/ν) or Settling Velocity = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity). Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water, Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample & 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 of Spherical Particle?

The Settling Velocity of Spherical Particle is defined as the speed at which a particle falls through a still fluid is calculated using Settling Velocity = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity). To calculate Settling Velocity of Spherical Particle, you need Acceleration due to Gravity (g), Specific Gravity of Sediment (G), Diameter of Particle (D_p) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Acceleration due to Gravity, Specific Gravity of Sediment, Diameter of Particle & 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 Acceleration due to Gravity, Specific Gravity of Sediment, Diameter of Particle & Kinematic Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter
Settling Velocity = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag))
Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific Gravity of Sediment-1)*Diameter of Particle)/Coefficient of Drag)

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