Settling Velocity with respect to Specific Gravity of Particle 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 Drag Coefficient refers to the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Drag Coefficient [C_D]			+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 with respect to Specific Gravity of Particle [v_s]

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Settling Velocity with respect to Specific Gravity of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))
v_s = sqrt((4*[g]*(G_s-1)*d)/(3*C_D))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Drag Coefficient - The Drag Coefficient refers to the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

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
Drag Coefficient: 1200 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = sqrt((4*[g]*(G_s-1)*d)/(3*C_D)) --> sqrt((4*[g]*(2.7-1)*0.0013)/(3*1200))

Evaluating ... ...

v_s = 0.00490721651131157

STEP 3: Convert Result to Output's Unit

0.00490721651131157 Meter per Second --> No Conversion Required

FINAL ANSWER

0.00490721651131157 ≈ 0.004907 Meter per Second <-- Settling Velocity of Particles

(Calculation completed in 00.027 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1 Sedimentation » Settling Velocity » Settling Velocity with respect to Specific Gravity of Particle

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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 with respect to Specific Gravity of Particle Formula

LaTeX Go

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

What is Specific Gravity?

The Specific Gravity is the ratio between the density of an object, and a reference substance. The specific gravity can tell, based on its value, if the object will sink or float in our reference substance.

How to Calculate Settling Velocity with respect to Specific Gravity of Particle?

Settling Velocity with respect to Specific Gravity of Particle calculator uses Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient)) to calculate the Settling Velocity of Particles, The Settling Velocity with respect to Specific Gravity of Particle 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 with respect to Specific Gravity of Particle using this online calculator? To use this online calculator for Settling Velocity with respect to Specific Gravity of Particle, enter Specific Gravity of Spherical Particle (G_s), Diameter of a Spherical Particle (d) & Drag Coefficient (C_D) and hit the calculate button. Here is how the Settling Velocity with respect to Specific Gravity of Particle calculation can be explained with given input values -> 0.004907 = sqrt((4*[g]*(2.7-1)*0.0013)/(3*1200)).

FAQ

What is Settling Velocity with respect to Specific Gravity of Particle?

The Settling Velocity with respect to Specific Gravity of Particle 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 = sqrt((4*[g]*(G_s-1)*d)/(3*C_D)) or Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient)). 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 Drag Coefficient refers to the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

How to calculate Settling Velocity with respect to Specific Gravity of Particle?

The Settling Velocity with respect to Specific Gravity of Particle 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 = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient)). To calculate Settling Velocity with respect to Specific Gravity of Particle, you need Specific Gravity of Spherical Particle (G_s), Diameter of a Spherical Particle (d) & Drag Coefficient (C_D). With our tool, you need to enter the respective value for Specific Gravity of Spherical Particle, Diameter of a Spherical Particle & Drag Coefficient 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 & Drag Coefficient. 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 = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

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