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Diameter of Particle given Settling Velocity Formula

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity with respect to Specific Gravity Formula

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The Diameter of a Spherical Particle is the distance across the sphere, passing through its center. Check FAQs

d = \frac{3 \cdot C D \cdot ρ f \cdot {v s}^{2}}{4 \cdot [g] \cdot (ρ m - ρ f)}

d - Diameter of a Spherical Particle?C_D - Drag Coefficient?ρ_f - Mass Density of Fluid?v_s - Settling Velocity of Particles?ρ_m - Mass Density of Particles?[g] - Gravitational acceleration on Earth?

Diameter of Particle given Settling Velocity Example

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Here is how the Diameter of Particle given Settling Velocity equation looks like with Values.

Here is how the Diameter of Particle given Settling Velocity equation looks like with Units.

Here is how the Diameter of Particle given Settling Velocity equation looks like.

0.0001 = \frac{3 \cdot 1200 \cdot 1000 \cdot {0.0016}^{2}}{4 \cdot 9.8066 \cdot (2700 - 1000)}

0.0001m = \frac{3 \cdot 1200 \cdot 1000kg/m³ \cdot {0.0016m/s}^{2}}{4 \cdot 9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³)}

0.0001 = \frac{3 \cdot 1200 \cdot 1000 \cdot {0.0016}^{2}}{4 \cdot 9.8066 \cdot (2700 - 1000)}

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Diameter of Particle given Settling Velocity Solution

Follow our step by step solution on how to calculate Diameter of Particle given Settling Velocity?

FIRST Step Consider the formula

d = \frac{3 \cdot C D \cdot ρ f \cdot {v s}^{2}}{4 \cdot [g] \cdot (ρ m - ρ f)}

Next Step Substitute values of Variables

∴

d = \frac{3 \cdot 1200 \cdot 1000kg/m³ \cdot {0.0016m/s}^{2}}{4 \cdot [g] \cdot (2700kg/m³ - 1000kg/m³)}

Next Step Substitute values of Constants

∴

d = \frac{3 \cdot 1200 \cdot 1000kg/m³ \cdot {0.0016m/s}^{2}}{4 \cdot 9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³)}

Next Step Prepare to Evaluate

∴

d = \frac{3 \cdot 1200 \cdot 1000 \cdot {0.0016}^{2}}{4 \cdot 9.8066 \cdot (2700 - 1000)}

Next Step Evaluate

∴

d = 0.000138201538511832m

LAST Step Rounding Answer

∴

d = 0.0001m

Diameter of Particle given Settling Velocity Formula Elements

Variables

Constants

Diameter of a Spherical Particle

The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of a Spherical Particle

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.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

Mass Density of Fluid

Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Fluid

Settling Velocity of Particles

Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity of Particles

Mass Density of Particles

Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).

Symbol: ρ_m

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Particles

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Diameter of a Spherical Particle

Go Diameter of Particle given Volume of Particle

d = {(6 \cdot \frac{V p}{π})}^{\frac{1}{3}}

Go Diameter of Particle given Settling Velocity with respect to Specific Gravity

d = \frac{3 \cdot C D \cdot {v s}^{2}}{4 \cdot [g] \cdot (G s - 1)}

Go Diameter of Particle given Particle Reynold's Number

d = \frac{μ viscosity \cdot Re}{ρ f \cdot v s}

Go Diameter given Settling Velocity with respect to Dynamic Viscosity

d = \sqrt{\frac{18 \cdot v s \cdot μ viscosity}{[g] \cdot (ρ m - ρ f)}}

How to Evaluate Diameter of Particle given Settling Velocity?

Diameter of Particle given Settling Velocity evaluator uses Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid)) to evaluate the Diameter of a Spherical Particle, The Diameter of Particle given Settling Velocity formula is defined as the size of a particle that can be determined based on its settling velocity through a fluid, typically water. Diameter of a Spherical Particle is denoted by d symbol.

How to evaluate Diameter of Particle given Settling Velocity using this online evaluator? To use this online evaluator for Diameter of Particle given Settling Velocity, enter Drag Coefficient (C_D), Mass Density of Fluid (ρ_f), Settling Velocity of Particles (v_s) & Mass Density of Particles (ρ_m) and hit the calculate button.

FAQs on Diameter of Particle given Settling Velocity

What is the formula to find Diameter of Particle given Settling Velocity?

The formula of Diameter of Particle given Settling Velocity is expressed as Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid)). Here is an example- 0.000138 = (3*1200*1000*0.0016^2)/(4*[g]*(2700-1000)).

How to calculate Diameter of Particle given Settling Velocity?

With Drag Coefficient (C_D), Mass Density of Fluid (ρ_f), Settling Velocity of Particles (v_s) & Mass Density of Particles (ρ_m) we can find Diameter of Particle given Settling Velocity using the formula - Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid)). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Diameter of a Spherical Particle?

Here are the different ways to Calculate Diameter of a Spherical Particle-

Diameter of a Spherical Particle=(6*Volume of One Particle/pi)^(1/3)
Diameter of a Spherical Particle=(3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
Diameter of a Spherical Particle=(Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)

Can the Diameter of Particle given Settling Velocity be negative?

No, the Diameter of Particle given Settling Velocity, measured in Length cannot be negative.

Which unit is used to measure Diameter of Particle given Settling Velocity?

Diameter of Particle given Settling Velocity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Particle given Settling Velocity can be measured.

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: Value
: Unit

Diameter of Particle given Settling Velocity Formula

​GoDiameter of Particle given Volume of Particle Formula

​GoDiameter of Particle given Settling Velocity with respect to Specific Gravity Formula

Diameter of Particle given Settling Velocity Example

Diameter of Particle given Settling Velocity Solution

Diameter of Particle given Settling Velocity Formula Elements

Other Formulas to find Diameter of a Spherical Particle

How to Evaluate Diameter of Particle given Settling Velocity?

FAQs on Diameter of Particle given Settling Velocity

Variable Name

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity with respect to Specific Gravity Formula