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Diameter for Settling Velocity with respect to Kinematic Viscosity Formula

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula

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

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

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

Diameter for Settling Velocity with respect to Kinematic Viscosity Example

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

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

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

0.0011 = \sqrt{\frac{0.0016 \cdot 18 \cdot 7.25}{9.8066 \cdot (2.7 - 1.001)}}

0.0011m = \sqrt{\frac{0.0016m/s \cdot 18 \cdot 7.25St}{9.8066m/s² \cdot (2.7 - 1.001)}}

0.0011 = \sqrt{\frac{0.0016 \cdot 18 \cdot 7.25}{9.8066 \cdot (2.7 - 1.001)}}

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Diameter for Settling Velocity with respect to Kinematic Viscosity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{0.0016m/s \cdot 18 \cdot 7.25St}{[g] \cdot (2.7 - 1.001)}}

Next Step Substitute values of Constants

∴

d = \sqrt{\frac{0.0016m/s \cdot 18 \cdot 7.25St}{9.8066m/s² \cdot (2.7 - 1.001)}}

Next Step Convert Units

∴

d = \sqrt{\frac{0.0016m/s \cdot 18 \cdot 0.0007m²/s}{9.8066m/s² \cdot (2.7 - 1.001)}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{0.0016 \cdot 18 \cdot 0.0007}{9.8066 \cdot (2.7 - 1.001)}}

Next Step Evaluate

∴

d = 0.00111945907139813m

LAST Step Rounding Answer

∴

d = 0.0011m

Diameter for Settling Velocity with respect to Kinematic Viscosity Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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 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

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

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}

How to Evaluate Diameter for Settling Velocity with respect to Kinematic Viscosity?

Diameter for Settling Velocity with respect to Kinematic Viscosity evaluator uses Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*18*Kinematic Viscosity)/([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid))) to evaluate the Diameter of a Spherical Particle, The Diameter for Settling Velocity with respect to Kinematic Viscosity formula is defined as the calculation of the diameter of a particle (usually a solid suspended in a fluid) that is used in the context of determining its settling velocity in a fluid medium. Diameter of a Spherical Particle is denoted by d symbol.

How to evaluate Diameter for Settling Velocity with respect to Kinematic Viscosity using this online evaluator? To use this online evaluator for Diameter for Settling Velocity with respect to Kinematic Viscosity, enter Settling Velocity of Particles (v_s), Kinematic Viscosity (ν), Specific Gravity of Spherical Particle (G_s) & Specific Gravity of Fluid (G_w) and hit the calculate button.

FAQs on Diameter for Settling Velocity with respect to Kinematic Viscosity

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

The formula of Diameter for Settling Velocity with respect to Kinematic Viscosity is expressed as Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*18*Kinematic Viscosity)/([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid))). Here is an example- 0.001119 = sqrt((0.0016*18*0.000725)/([g]*(2.7-1.001))).

How to calculate Diameter for Settling Velocity with respect to Kinematic Viscosity?

With Settling Velocity of Particles (v_s), Kinematic Viscosity (ν), Specific Gravity of Spherical Particle (G_s) & Specific Gravity of Fluid (G_w) we can find Diameter for Settling Velocity with respect to Kinematic Viscosity using the formula - Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*18*Kinematic Viscosity)/([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid))). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(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*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
Diameter of a Spherical Particle=(3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

Can the Diameter for Settling Velocity with respect to Kinematic Viscosity be negative?

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

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

Diameter for Settling Velocity with respect to Kinematic Viscosity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter for Settling Velocity with respect to Kinematic Viscosity can be measured.

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Diameter for Settling Velocity with respect to Kinematic Viscosity Formula

​GoDiameter of Particle given Volume of Particle Formula

​GoDiameter of Particle given Settling Velocity Formula

Diameter for Settling Velocity with respect to Kinematic Viscosity Example

Diameter for Settling Velocity with respect to Kinematic Viscosity Solution

Diameter for Settling Velocity with respect to Kinematic Viscosity Formula Elements

Other Formulas to find Diameter of a Spherical Particle

How to Evaluate Diameter for Settling Velocity with respect to Kinematic Viscosity?

FAQs on Diameter for Settling Velocity with respect to Kinematic Viscosity

Variable Name

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula