Settling Velocity with respect to Diameter of 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 density of sediment to density of standard substance.ⓘ Specific gravity of sediment [G]			+10% -10%
✖Diameter of Partical is a straight line passing from side to side through the center of a partical, especially a circle or sphere.ⓘ Diameter of Partical [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 with respect to Diameter of Particle [v_s]

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Formula

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Settling Velocity with respect to Diameter of Particle

Formula

`"v"_{"s"} = (("g"*("G"-1)*("D"_{"p"})^(1.6))/(13.88*("ν")^(0.6)))^(0.714)`

Example

`"0.037928m/s"=(("9.8m/s²"*("1.3"-1)*("0.01m")^(1.6))/(13.88*("7.25St")^(0.6)))^(0.714)`

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Settling Velocity with respect to Diameter of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714)
v_s = ((g*(G-1)*(D_p)^(1.6))/(13.88*(ν)^(0.6)))^(0.714)
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 density of sediment to density of standard substance.
Diameter of Partical - (Measured in Meter) - Diameter of Partical is a straight line passing from side to side through the center of a partical, 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

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 Partical: 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*(G-1)*(D_p)^(1.6))/(13.88*(ν)^(0.6)))^(0.714) --> ((9.8*(1.3-1)*(0.01)^(1.6))/(13.88*(0.000725)^(0.6)))^(0.714)

Evaluating ... ...

v_s = 0.0379284515795185

STEP 3: Convert Result to Output's Unit

0.0379284515795185 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0379284515795185 ≈ 0.037928 Meter per Second <-- Settling Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Theory of Type -1 Settling » Settling Velocity of Particle » Settling Velocity with respect to Diameter of Particle

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Birsa Institute of Technology (BIT), Sindri

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< 9 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 Liquid)*Diameter of Partical)/(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 Partical)/Coefficient of Drag)

Settling Velocity with respect to Diameter of Particle

Go Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714)

Settling Velocity of Spherical Particle

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

Settling Velocity for Turbulent Settling

Go Settling Velocity = (1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical))

Settling Velocity for Modified Hazen's Equation

Go Settling Velocity = (60.6*Diameter of Partical*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100))

Settling Velocity of Spherical Particle given Reynold Number

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

Settling Velocity for Organic Matter

Go Settling velocity for organic solids = 0.12*Diameter of Partical*((3*Temperature)+70)

Settling Velocity for Inorganic Solids

Go Settling velocity for inorganic solids = (Diameter of Partical*((3*Temperature)+70))

Settling Velocity with respect to Diameter of Particle Formula

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 with respect to Diameter of Particle?

Settling Velocity with respect to Diameter of Particle calculator uses Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714) to calculate the Settling Velocity, The Settling Velocity with respect to Diameter of Particle between 0.1 mm to 1 mm is defined as the velocity reached by a particle as it falls through a fluid, dependent on its size and shape, and the difference between its specific gravity and that of the settling medium. Settling Velocity is denoted by v_s symbol.

How to calculate Settling Velocity with respect to Diameter of Particle using this online calculator? To use this online calculator for Settling Velocity with respect to Diameter of Particle, enter Acceleration due to Gravity (g), Specific gravity of sediment (G), Diameter of Partical (D_p) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Settling Velocity with respect to Diameter of Particle calculation can be explained with given input values -> 0.037928 = ((9.8*(1.3-1)*(0.01)^(1.6))/(13.88*(0.000725)^(0.6)))^(0.714).

FAQ

What is Settling Velocity with respect to Diameter of Particle?

The Settling Velocity with respect to Diameter of Particle between 0.1 mm to 1 mm is defined as the velocity reached by a particle as it falls through a fluid, dependent on its size and shape, and the difference between its specific gravity and that of the settling medium and is represented as v_s = ((g*(G-1)*(D_p)^(1.6))/(13.88*(ν)^(0.6)))^(0.714) or Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714). Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Specific gravity of sediment is the ratio of density of sediment to density of standard substance, Diameter of Partical is a straight line passing from side to side through the center of a partical, 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 Diameter of Particle?

The Settling Velocity with respect to Diameter of Particle between 0.1 mm to 1 mm is defined as the velocity reached by a particle as it falls through a fluid, dependent on its size and shape, and the difference between its specific gravity and that of the settling medium is calculated using Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714). To calculate Settling Velocity with respect to Diameter of Particle, you need Acceleration due to Gravity (g), Specific gravity of sediment (G), Diameter of Partical (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 Partical & 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 Partical & Kinematic Viscosity. We can use 6 other way(s) to calculate the same, which is/are as follows -

Settling Velocity = (Acceleration due to Gravity/18)*(Specific gravity of sediment-1)*((Diameter of Partical)^2/Kinematic Viscosity)
Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter
Settling Velocity = sqrt(((4/3)*(Unit weight of particle-Unit Weight of Liquid)*Diameter of Partical)/(Water Density*Coefficient of Drag))
Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag)
Settling Velocity = (1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical))
Settling Velocity = (60.6*Diameter of Partical*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100))

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