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Diameter of Particle given Settling Velocity of Spherical Particle Formula

GoDiameter of Particle given Reynold Number Formula

GoDiameter of Particle given Settling Velocity within Transition Zone Formula

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

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

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

Diameter of Particle given Settling Velocity of Spherical Particle Example

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

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

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

0.01 = \sqrt{\frac{0.0003}{(\frac{9.8}{18}) \cdot (1.006 - 1) \cdot (\frac{1}{10.2})}}

0.01m = \sqrt{\frac{0.0003m/s}{(\frac{9.8m/s²}{18}) \cdot (1.006 - 1) \cdot (\frac{1}{10.2St})}}

0.01 = \sqrt{\frac{0.0003}{(\frac{9.8}{18}) \cdot (1.006 - 1) \cdot (\frac{1}{10.2})}}

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Diameter of Particle given Settling Velocity of Spherical Particle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D p = \sqrt{\frac{0.0003m/s}{(\frac{9.8m/s²}{18}) \cdot (1.006 - 1) \cdot (\frac{1}{10.2St})}}

Next Step Convert Units

∴

D p = \sqrt{\frac{0.0003m/s}{(\frac{9.8m/s²}{18}) \cdot (1.006 - 1) \cdot (\frac{1}{0.001m²/s})}}

Next Step Prepare to Evaluate

∴

D p = \sqrt{\frac{0.0003}{(\frac{9.8}{18}) \cdot (1.006 - 1) \cdot (\frac{1}{0.001})}}

Next Step Evaluate

∴

D p = 0.00999591753402051m

LAST Step Rounding Answer

∴

D p = 0.01m

Diameter of Particle given Settling Velocity of Spherical Particle Formula Elements

Variables

Functions

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

Settling Velocity of Spherical Particle

Settling Velocity of Spherical Particle is the constant speed at which a spherical particle falls through a fluid under the influence of gravity.

Symbol: V_sp

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity of Spherical 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

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

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.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Particle

Go Diameter of Particle given Reynold Number

D p = \frac{R p \cdot ν}{v s}

Go Diameter of Particle given Settling Velocity within Transition Zone

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

Go Diameter of Particle given Settling Velocity for Turbulent Settling

D p = {(\frac{V st}{1.8 \cdot \sqrt{g \cdot (G - 1)}})}^{2}

Go Diameter of Particle given Settling Velocity for Modified Hazen's Equation

D p = (\frac{V sm}{60.6 \cdot (G - 1) \cdot (\frac{(3 \cdot T) + 70}{100})})

How to Evaluate Diameter of Particle given Settling Velocity of Spherical Particle?

Diameter of Particle given Settling Velocity of Spherical Particle evaluator uses Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity))) to evaluate the Diameter of Particle, The Diameter of Particle given Settling Velocity of Spherical Particle formula is defined as the calculation of diameter of particle when we have prior information of settling velocity of particle. Diameter of Particle is denoted by D_p symbol.

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

FAQs on Diameter of Particle given Settling Velocity of Spherical Particle

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

The formula of Diameter of Particle given Settling Velocity of Spherical Particle is expressed as Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity))). Here is an example- 0.009996 = sqrt(0.00032/((9.8/18)*(1.006-1)*(1/0.00102))).

How to calculate Diameter of Particle given Settling Velocity of Spherical Particle?

With Settling Velocity of Spherical Particle (V_sp), Acceleration due to Gravity (g), Specific Gravity of Sediment (G) & Kinematic Viscosity (ν) we can find Diameter of Particle given Settling Velocity of Spherical Particle using the formula - Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Particle?

Here are the different ways to Calculate Diameter of Particle-

Diameter of Particle=(Reynolds Number of Particle*Kinematic Viscosity)/Settling Velocity
Diameter of Particle=((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
Diameter of Particle=(Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2

Can the Diameter of Particle given Settling Velocity of Spherical Particle be negative?

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

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

Diameter of Particle given Settling Velocity of Spherical Particle 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 of Spherical Particle can be measured.

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Diameter of Particle given Settling Velocity of Spherical Particle Formula

​GoDiameter of Particle given Reynold Number Formula

​GoDiameter of Particle given Settling Velocity within Transition Zone Formula

Diameter of Particle given Settling Velocity of Spherical Particle Example

Diameter of Particle given Settling Velocity of Spherical Particle Solution

Diameter of Particle given Settling Velocity of Spherical Particle Formula Elements

Other Formulas to find Diameter of Particle

How to Evaluate Diameter of Particle given Settling Velocity of Spherical Particle?

FAQs on Diameter of Particle given Settling Velocity of Spherical Particle

Variable Name

GoDiameter of Particle given Reynold Number Formula

GoDiameter of Particle given Settling Velocity within Transition Zone Formula