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Settling Velocity given Drag Force as per Stokes Law Formula

GoSettling Velocity given Frictional Drag Formula

GoSettling Velocity Formula

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

v s = \frac{F D}{3 \cdot π \cdot μ viscosity \cdot d}

v_s - Settling Velocity of Particles?F_D - Drag Force?μ_viscosity - Dynamic Viscosity?d - Diameter of a Spherical Particle?π - Archimedes' constant?

Settling Velocity given Drag Force as per Stokes Law Example

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Here is how the Settling Velocity given Drag Force as per Stokes Law equation looks like with Values.

Here is how the Settling Velocity given Drag Force as per Stokes Law equation looks like with Units.

Here is how the Settling Velocity given Drag Force as per Stokes Law equation looks like.

0.3201 = \frac{0.004}{3 \cdot 3.1416 \cdot 10.2 \cdot 0.0013}

0.3201m/s = \frac{0.004N}{3 \cdot 3.1416 \cdot 10.2P \cdot 0.0013m}

0.3201 = \frac{0.004}{3 \cdot 3.1416 \cdot 10.2 \cdot 0.0013}

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Settling Velocity given Drag Force as per Stokes Law Solution

Follow our step by step solution on how to calculate Settling Velocity given Drag Force as per Stokes Law?

FIRST Step Consider the formula

v s = \frac{F D}{3 \cdot π \cdot μ viscosity \cdot d}

Next Step Substitute values of Variables

∴

v s = \frac{0.004N}{3 \cdot π \cdot 10.2P \cdot 0.0013m}

Next Step Substitute values of Constants

∴

v s = \frac{0.004N}{3 \cdot 3.1416 \cdot 10.2P \cdot 0.0013m}

Next Step Convert Units

∴

v s = \frac{0.004N}{3 \cdot 3.1416 \cdot 1.02Pa*s \cdot 0.0013m}

Next Step Prepare to Evaluate

∴

v s = \frac{0.004}{3 \cdot 3.1416 \cdot 1.02 \cdot 0.0013}

Next Step Evaluate

∴

v s = 0.32007027268355m/s

LAST Step Rounding Answer

∴

v s = 0.3201m/s

Settling Velocity given Drag Force as per Stokes Law Formula Elements

Variables

Constants

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

Drag Force

The Drag Force refers to the resisting force experienced by an particle moving through a fluid.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

Dynamic Viscosity

The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Settling Velocity of Particles

Go Settling Velocity given Frictional Drag

v s = \sqrt{\frac{2 \cdot F D}{a \cdot C D \cdot ρ f}}

Go Settling Velocity

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

Go Settling Velocity with respect to Specific Gravity of Particle

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

Go Settling Velocity given Particle Reynold's Number

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

Other formulas in Settling Velocity category

Go Surface Loading with respect to Settling Velocity

R = 864000 \cdot v s

How to Evaluate Settling Velocity given Drag Force as per Stokes Law?

Settling Velocity given Drag Force as per Stokes Law evaluator uses Settling Velocity of Particles = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle) to evaluate the Settling Velocity of Particles, Settling Velocity given Drag Force as per Stokes Law 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 evaluate Settling Velocity given Drag Force as per Stokes Law using this online evaluator? To use this online evaluator for Settling Velocity given Drag Force as per Stokes Law, enter Drag Force (F_D), Dynamic Viscosity (μ_viscosity) & Diameter of a Spherical Particle (d) and hit the calculate button.

FAQs on Settling Velocity given Drag Force as per Stokes Law

What is the formula to find Settling Velocity given Drag Force as per Stokes Law?

The formula of Settling Velocity given Drag Force as per Stokes Law is expressed as Settling Velocity of Particles = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle). Here is an example- 320.0703 = 0.004/(3*pi*1.02*0.0013).

How to calculate Settling Velocity given Drag Force as per Stokes Law?

With Drag Force (F_D), Dynamic Viscosity (μ_viscosity) & Diameter of a Spherical Particle (d) we can find Settling Velocity given Drag Force as per Stokes Law using the formula - Settling Velocity of Particles = Drag Force/(3*pi*Dynamic Viscosity*Diameter of a Spherical Particle). This formula also uses Archimedes' constant .

What are the other ways to Calculate Settling Velocity of Particles?

Here are the different ways to Calculate Settling Velocity of Particles-

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))

Can the Settling Velocity given Drag Force as per Stokes Law be negative?

No, the Settling Velocity given Drag Force as per Stokes Law, measured in Speed cannot be negative.

Which unit is used to measure Settling Velocity given Drag Force as per Stokes Law?

Settling Velocity given Drag Force as per Stokes Law is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Settling Velocity given Drag Force as per Stokes Law can be measured.

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Settling Velocity given Drag Force as per Stokes Law Formula

​GoSettling Velocity given Frictional Drag Formula

​GoSettling Velocity Formula

Settling Velocity given Drag Force as per Stokes Law Example

Settling Velocity given Drag Force as per Stokes Law Solution

Settling Velocity given Drag Force as per Stokes Law Formula Elements

Other Formulas to find Settling Velocity of Particles

Other formulas in Settling Velocity category

How to Evaluate Settling Velocity given Drag Force as per Stokes Law?

FAQs on Settling Velocity given Drag Force as per Stokes Law

Variable Name

GoSettling Velocity given Frictional Drag Formula

GoSettling Velocity Formula