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Settling Velocity with respect to Kinematic Viscosity 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{[g] \cdot (G s - G w) \cdot d^{2}}{18 \cdot ν}

v_s - Settling Velocity of Particles?G_s - Specific Gravity of Spherical Particle?G_w - Specific Gravity of Fluid?d - Diameter of a Spherical Particle?ν - Kinematic Viscosity?[g] - Gravitational acceleration on Earth?

Settling Velocity with respect to Kinematic Viscosity Example

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Here is how the Settling Velocity with respect to Kinematic Viscosity equation looks like with Values.

Here is how the Settling Velocity with respect to Kinematic Viscosity equation looks like with Units.

Here is how the Settling Velocity with respect to Kinematic Viscosity equation looks like.

0.0022 = \frac{9.8066 \cdot (2.7 - 1.001) \cdot {0.0013}^{2}}{18 \cdot 7.25}

0.0022m/s = \frac{9.8066m/s² \cdot (2.7 - 1.001) \cdot {0.0013m}^{2}}{18 \cdot 7.25St}

0.0022 = \frac{9.8066 \cdot (2.7 - 1.001) \cdot {0.0013}^{2}}{18 \cdot 7.25}

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Settling Velocity with respect to Kinematic Viscosity Solution

Follow our step by step solution on how to calculate Settling Velocity with respect to Kinematic Viscosity?

FIRST Step Consider the formula

v s = \frac{[g] \cdot (G s - G w) \cdot d^{2}}{18 \cdot ν}

Next Step Substitute values of Variables

∴

v s = \frac{[g] \cdot (2.7 - 1.001) \cdot {0.0013m}^{2}}{18 \cdot 7.25St}

Next Step Substitute values of Constants

∴

v s = \frac{9.8066m/s² \cdot (2.7 - 1.001) \cdot {0.0013m}^{2}}{18 \cdot 7.25St}

Next Step Convert Units

∴

v s = \frac{9.8066m/s² \cdot (2.7 - 1.001) \cdot {0.0013m}^{2}}{18 \cdot 0.0007m²/s}

Next Step Prepare to Evaluate

∴

v s = \frac{9.8066 \cdot (2.7 - 1.001) \cdot {0.0013}^{2}}{18 \cdot 0.0007}

Next Step Evaluate

∴

v s = 0.00215769595490422m/s

LAST Step Rounding Answer

∴

v s = 0.0022m/s

Settling Velocity with respect to Kinematic Viscosity 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

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).

Symbol: G_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Spherical Particle

Specific Gravity of Fluid

Specific Gravity of Fluid refers to is the ratio of the fluid’s density to the density of water at a standard temperature (usually 4°C).

Symbol: G_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Gravity of Fluid

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

Kinematic Viscosity

The Kinematic Viscosity refers to the ratio of dynamic viscosity to the density of the fluid.

Symbol: ν

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity

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 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 with respect to Kinematic Viscosity?

Settling Velocity with respect to Kinematic Viscosity evaluator uses Settling Velocity of Particles = ([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity) to evaluate the Settling Velocity of Particles, The Settling Velocity with respect to Kinematic 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 evaluate Settling Velocity with respect to Kinematic Viscosity using this online evaluator? To use this online evaluator for Settling Velocity with respect to Kinematic Viscosity, enter Specific Gravity of Spherical Particle (G_s), Specific Gravity of Fluid (G_w), Diameter of a Spherical Particle (d) & Kinematic Viscosity (ν) and hit the calculate button.

FAQs on Settling Velocity with respect to Kinematic Viscosity

What is the formula to find Settling Velocity with respect to Kinematic Viscosity?

The formula of Settling Velocity with respect to Kinematic Viscosity is expressed as Settling Velocity of Particles = ([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity). Here is an example- 0.002158 = ([g]*(2.7-1.001)*0.0013^2)/(18*0.000725).

How to calculate Settling Velocity with respect to Kinematic Viscosity?

With Specific Gravity of Spherical Particle (G_s), Specific Gravity of Fluid (G_w), Diameter of a Spherical Particle (d) & Kinematic Viscosity (ν) we can find Settling Velocity with respect to Kinematic Viscosity using the formula - Settling Velocity of Particles = ([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)*Diameter of a Spherical Particle^2)/(18*Kinematic Viscosity). This formula also uses Gravitational acceleration on Earth constant(s).

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 with respect to Kinematic Viscosity be negative?

No, the Settling Velocity with respect to Kinematic Viscosity, measured in Speed cannot be negative.

Which unit is used to measure Settling Velocity with respect to Kinematic Viscosity?

Settling Velocity with respect to Kinematic Viscosity 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 with respect to Kinematic Viscosity can be measured.

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Settling Velocity with respect to Kinematic Viscosity Formula

​GoSettling Velocity given Frictional Drag Formula

​GoSettling Velocity Formula

Settling Velocity with respect to Kinematic Viscosity Example

Settling Velocity with respect to Kinematic Viscosity Solution

Settling Velocity with respect to Kinematic Viscosity Formula Elements

Other Formulas to find Settling Velocity of Particles

Other formulas in Settling Velocity category

How to Evaluate Settling Velocity with respect to Kinematic Viscosity?

FAQs on Settling Velocity with respect to Kinematic Viscosity

Variable Name

GoSettling Velocity given Frictional Drag Formula

GoSettling Velocity Formula