Settling Velocity Calculator

✖Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Particles [ρ_m]			+10% -10%
✖Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Fluid [ρ_f]			+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 [v_s]

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Settling Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
v_s = sqrt((4*[g]*(ρ_m-ρ_f)*d)/(3*C_D*ρ_f))
This formula uses 1 Constants, 1 Functions, 5 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.
Mass Density of Particles - (Measured in Kilogram per Cubic Meter) - Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).
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

Mass Density of Particles: 2700 Kilogram per Cubic Meter --> 2700 Kilogram per Cubic Meter No Conversion Required
Mass Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter 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]*(ρ_m-ρ_f)*d)/(3*C_D*ρ_f)) --> sqrt((4*[g]*(2700-1000)*0.0013)/(3*1200*1000))

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 00.004 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

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 Formula

LaTeX Go

What is Sedimentation?

Sedimentation is the tendency for particles in suspension to settle out of the fluid in which they are entrained and come to rest against a barrier.

How to Calculate Settling Velocity?

Settling Velocity calculator uses 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)) to calculate the Settling Velocity of Particles, The Settling Velocity formula is defined as the terminal velocity of a particle in still fluid. It gives the settling velocity for a spherical particle settling under the action of gravity under the condition that Re ≪ 1 and diameter ≫ mean free path. Settling Velocity of Particles is denoted by v_s symbol.

How to calculate Settling Velocity using this online calculator? To use this online calculator for Settling Velocity, enter Mass Density of Particles (ρ_m), Mass Density of Fluid (ρ_f), Diameter of a Spherical Particle (d) & Drag Coefficient (C_D) and hit the calculate button. Here is how the Settling Velocity calculation can be explained with given input values -> 0.004907 = sqrt((4*[g]*(2700-1000)*0.0013)/(3*1200*1000)).

FAQ

What is Settling Velocity?

The Settling Velocity formula is defined as the terminal velocity of a particle in still fluid. It gives the settling velocity for a spherical particle settling under the action of gravity under the condition that Re ≪ 1 and diameter ≫ mean free path and is represented as v_s = sqrt((4*[g]*(ρ_m-ρ_f)*d)/(3*C_D*ρ_f)) or 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)). Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³), Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³), 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?

The Settling Velocity formula is defined as the terminal velocity of a particle in still fluid. It gives the settling velocity for a spherical particle settling under the action of gravity under the condition that Re ≪ 1 and diameter ≫ mean free path is calculated using 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)). To calculate Settling Velocity, you need Mass Density of Particles (ρ_m), Mass Density of Fluid (ρ_f), Diameter of a Spherical Particle (d) & Drag Coefficient (C_D). With our tool, you need to enter the respective value for Mass Density of Particles, Mass Density of Fluid, 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 Mass Density of Particles, Mass Density of Fluid, 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]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))
Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

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