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Settling Velocity with respect to Diameter of Particle Formula

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Settling Velocity given Diameter of Particle is the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size. Check FAQs

V sd = {(\frac{g \cdot (G - 1) \cdot {(D p)}^{1.6}}{13.88 \cdot {(ν)}^{0.6}})}^{0.714}

V_sd - Settling Velocity given Diameter of Particle?g - Acceleration due to Gravity?G - Specific Gravity of Sediment?D_p - Diameter of Particle?ν - Kinematic Viscosity?

Settling Velocity with respect to Diameter of Particle Example

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

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

Here is how the Settling Velocity with respect to Diameter of Particle equation looks like.

0.002 = {(\frac{9.8 \cdot (1.006 - 1) \cdot {(0.01)}^{1.6}}{13.88 \cdot {(10.2)}^{0.6}})}^{0.714}

0.002m/s = {(\frac{9.8m/s² \cdot (1.006 - 1) \cdot {(0.01m)}^{1.6}}{13.88 \cdot {(10.2St)}^{0.6}})}^{0.714}

0.002 = {(\frac{9.8 \cdot (1.006 - 1) \cdot {(0.01)}^{1.6}}{13.88 \cdot {(10.2)}^{0.6}})}^{0.714}

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Settling Velocity with respect to Diameter of Particle Solution

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

FIRST Step Consider the formula

V sd = {(\frac{g \cdot (G - 1) \cdot {(D p)}^{1.6}}{13.88 \cdot {(ν)}^{0.6}})}^{0.714}

Next Step Substitute values of Variables

∴

V sd = {(\frac{9.8m/s² \cdot (1.006 - 1) \cdot {(0.01m)}^{1.6}}{13.88 \cdot {(10.2St)}^{0.6}})}^{0.714}

Next Step Convert Units

∴

V sd = {(\frac{9.8m/s² \cdot (1.006 - 1) \cdot {(0.01m)}^{1.6}}{13.88 \cdot {(0.001m²/s)}^{0.6}})}^{0.714}

Next Step Prepare to Evaluate

∴

V sd = {(\frac{9.8 \cdot (1.006 - 1) \cdot {(0.01)}^{1.6}}{13.88 \cdot {(0.001)}^{0.6}})}^{0.714}

Next Step Evaluate

∴

V sd = 0.002006249855305m/s

LAST Step Rounding Answer

∴

V sd = 0.002m/s

Settling Velocity with respect to Diameter of Particle Formula Elements

Variables

Settling Velocity given Diameter of Particle

Settling Velocity given Diameter of Particle is the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size.

Symbol: V_sd

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity given Diameter of Particle

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Specific Gravity of Sediment

Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Sediment

Diameter of Particle

Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Particle

Kinematic Viscosity

The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: ν

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity

Other formulas in Settling Velocity of Particle category

Go Settling Velocity of Spherical Particle

V sp = (\frac{g}{18}) \cdot (G - 1) \cdot (\frac{{(D p)}^{2}}{ν})

Go Settling Velocity of Spherical Particle given Reynold Number

V sr = \frac{R p \cdot ν}{D p}

Go Settling Velocity of Spherical Particle given Coefficient of Drag

V sc = \sqrt{\frac{(\frac{4}{3}) \cdot (γ s - γ w) \cdot D p}{ρ water \cdot C D}}

Go Settling Velocity given Specific Gravity of Particle

V sg = \sqrt{\frac{(\frac{4}{3}) \cdot g \cdot (G - 1) \cdot D p}{C D}}

How to Evaluate Settling Velocity with respect to Diameter of Particle?

Settling Velocity with respect to Diameter of Particle evaluator uses Settling Velocity given Diameter of Particle = ((Acceleration due to Gravity*(Specific Gravity of Sediment-1)*(Diameter of Particle)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714) to evaluate the Settling Velocity given Diameter of Particle, The Settling Velocity with respect to Diameter of Particle formula is defined as the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size, shape, and density. Settling Velocity given Diameter of Particle is denoted by V_sd symbol.

How to evaluate Settling Velocity with respect to Diameter of Particle using this online evaluator? To use this online evaluator for Settling Velocity with respect to Diameter of Particle, enter Acceleration due to Gravity (g), Specific Gravity of Sediment (G), Diameter of Particle (D_p) & Kinematic Viscosity (ν) and hit the calculate button.

FAQs on Settling Velocity with respect to Diameter of Particle

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

The formula of Settling Velocity with respect to Diameter of Particle is expressed as Settling Velocity given Diameter of Particle = ((Acceleration due to Gravity*(Specific Gravity of Sediment-1)*(Diameter of Particle)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714). Here is an example- 0.002006 = ((9.8*(1.006-1)*(0.01)^(1.6))/(13.88*(0.00102)^(0.6)))^(0.714).

How to calculate Settling Velocity with respect to Diameter of Particle?

With Acceleration due to Gravity (g), Specific Gravity of Sediment (G), Diameter of Particle (D_p) & Kinematic Viscosity (ν) we can find Settling Velocity with respect to Diameter of Particle using the formula - Settling Velocity given Diameter of Particle = ((Acceleration due to Gravity*(Specific Gravity of Sediment-1)*(Diameter of Particle)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714).

Can the Settling Velocity with respect to Diameter of Particle be negative?

No, the Settling Velocity with respect to Diameter of Particle, measured in Speed cannot be negative.

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

Settling Velocity with respect to Diameter of Particle 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 Diameter of Particle can be measured.

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Settling Velocity with respect to Diameter of Particle Formula

Settling Velocity with respect to Diameter of Particle Example

Settling Velocity with respect to Diameter of Particle Solution

Settling Velocity with respect to Diameter of Particle Formula Elements

Other formulas in Settling Velocity of Particle category

How to Evaluate Settling Velocity with respect to Diameter of Particle?

FAQs on Settling Velocity with respect to Diameter of Particle

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