Settling Velocity given Specific Gravity of Particle and Viscosity Calculator

✖The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C).ⓘ Specific Gravity of Spherical Particle [G_s]			+10% -10%
✖The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter of a Spherical Particle [d]			+10% -10%
✖The Kinematic Viscosity refers to the ratio of dynamic viscosity to the density of the fluid.ⓘ Kinematic Viscosity [ν]			+10% -10%

✖Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.ⓘ Settling Velocity given Specific Gravity of Particle and Viscosity [v_s]

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Settling Velocity given Specific Gravity of Particle and Viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity of Particles = ([g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity)
v_s = ([g]*(G_s-1)*d^2)/(18*ν)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Settling Velocity of Particles - (Measured in Meter per Second) - Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.
Specific Gravity of Spherical Particle - The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C).
Diameter of a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity refers to the ratio of dynamic viscosity to the density of the fluid.

STEP 1: Convert Input(s) to Base Unit

Specific Gravity of Spherical Particle: 2.7 --> No Conversion Required
Diameter of a Spherical Particle: 0.0013 Meter --> 0.0013 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_s-1)*d^2)/(18*ν) --> ([g]*(2.7-1)*0.0013^2)/(18*0.000725)

Evaluating ... ...

v_s = 0.0021589659348659

STEP 3: Convert Result to Output's Unit

0.0021589659348659 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0021589659348659 ≈ 0.002159 Meter per Second <-- Settling Velocity of Particles

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1 Sedimentation » Settling Velocity » Settling Velocity given Specific Gravity of Particle and Viscosity

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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

LaTeX Go Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))

Settling Velocity with respect to Specific Gravity of Particle

LaTeX Go Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))

Settling Velocity given Frictional Drag

LaTeX Go Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))

Settling Velocity given Particle Reynold's Number

LaTeX Go Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

Settling Velocity given Specific Gravity of Particle and Viscosity Formula

LaTeX Go

Settling Velocity of Particles = ([g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity)
v_s = ([g]*(G_s-1)*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 given Specific Gravity of Particle and Viscosity?

Settling Velocity given Specific Gravity of Particle and Viscosity calculator uses Settling Velocity of Particles = ([g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity) to calculate the Settling Velocity of Particles, The Settling Velocity given Specific Gravity of Particle and Viscosity formula is defined as the speed at which a particle falls through a fluid under the influence of gravity. Settling Velocity of Particles is denoted by v_s symbol.

How to calculate Settling Velocity given Specific Gravity of Particle and Viscosity using this online calculator? To use this online calculator for Settling Velocity given Specific Gravity of Particle and Viscosity, enter Specific Gravity of Spherical Particle (G_s), Diameter of a Spherical Particle (d) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Settling Velocity given Specific Gravity of Particle and Viscosity calculation can be explained with given input values -> 0.002159 = ([g]*(2.7-1)*0.0013^2)/(18*0.000725).

FAQ

What is Settling Velocity given Specific Gravity of Particle and Viscosity?

The Settling Velocity given Specific Gravity of Particle and Viscosity formula is defined as the speed at which a particle falls through a fluid under the influence of gravity and is represented as v_s = ([g]*(G_s-1)*d^2)/(18*ν) or Settling Velocity of Particles = ([g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity). The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C), The Diameter of a Spherical Particle is the distance across the sphere, passing through its center & The Kinematic Viscosity refers to the ratio of dynamic viscosity to the density of the fluid.

How to calculate Settling Velocity given Specific Gravity of Particle and Viscosity?

The Settling Velocity given Specific Gravity of Particle and 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 of Particles = ([g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity). To calculate Settling Velocity given Specific Gravity of Particle and Viscosity, you need Specific Gravity of Spherical Particle (G_s), Diameter of a Spherical Particle (d) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Specific Gravity of Spherical Particle, Diameter of a Spherical 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 of Particles?

In this formula, Settling Velocity of Particles uses Specific Gravity of Spherical Particle, Diameter of a Spherical Particle & Kinematic Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))

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