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Diameter given Settling Velocity with respect to Dynamic 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{18 \cdot v s \cdot μ viscosity}{[g] \cdot (ρ m - ρ f)}}

d - Diameter of a Spherical Particle?v_s - Settling Velocity of Particles?μ_viscosity - Dynamic Viscosity?ρ_m - Mass Density of Particles?ρ_f - Mass Density of Fluid?[g] - Gravitational acceleration on Earth?

Diameter given Settling Velocity with respect to Dynamic Viscosity Example

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

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

Here is how the Diameter given Settling Velocity with respect to Dynamic Viscosity equation looks like.

0.0013 = \sqrt{\frac{18 \cdot 0.0016 \cdot 10.2}{9.8066 \cdot (2700 - 1000)}}

0.0013m = \sqrt{\frac{18 \cdot 0.0016m/s \cdot 10.2P}{9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³)}}

0.0013 = \sqrt{\frac{18 \cdot 0.0016 \cdot 10.2}{9.8066 \cdot (2700 - 1000)}}

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Diameter given Settling Velocity with respect to Dynamic Viscosity Solution

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

FIRST Step Consider the formula

d = \sqrt{\frac{18 \cdot v s \cdot μ viscosity}{[g] \cdot (ρ m - ρ f)}}

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{18 \cdot 0.0016m/s \cdot 10.2P}{[g] \cdot (2700kg/m³ - 1000kg/m³)}}

Next Step Substitute values of Constants

∴

d = \sqrt{\frac{18 \cdot 0.0016m/s \cdot 10.2P}{9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³)}}

Next Step Convert Units

∴

d = \sqrt{\frac{18 \cdot 0.0016m/s \cdot 1.02Pa*s}{9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³)}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{18 \cdot 0.0016 \cdot 1.02}{9.8066 \cdot (2700 - 1000)}}

Next Step Evaluate

∴

d = 0.00132742970285656m

LAST Step Rounding Answer

∴

d = 0.0013m

Diameter given Settling Velocity with respect to Dynamic 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

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

Mass Density of Particles

Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).

Symbol: ρ_m

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Particles

Mass Density of Fluid

Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density 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 given Settling Velocity with respect to Dynamic Viscosity?

Diameter given Settling Velocity with respect to Dynamic Viscosity evaluator uses Diameter of a Spherical Particle = sqrt((18*Settling Velocity of Particles*Dynamic Viscosity)/([g]*(Mass Density of Particles-Mass Density of Fluid))) to evaluate the Diameter of a Spherical Particle, The Diameter given Settling Velocity with respect to Dynamic Viscosity formula is defined as square root of settling velocity, dynamic viscosity and also it depends on difference of their densities. Diameter of a Spherical Particle is denoted by d symbol.

How to evaluate Diameter given Settling Velocity with respect to Dynamic Viscosity using this online evaluator? To use this online evaluator for Diameter given Settling Velocity with respect to Dynamic Viscosity, enter Settling Velocity of Particles (v_s), Dynamic Viscosity (μ_viscosity), Mass Density of Particles (ρ_m) & Mass Density of Fluid (ρ_f) and hit the calculate button.

FAQs on Diameter given Settling Velocity with respect to Dynamic Viscosity

What is the formula to find Diameter given Settling Velocity with respect to Dynamic Viscosity?

The formula of Diameter given Settling Velocity with respect to Dynamic Viscosity is expressed as Diameter of a Spherical Particle = sqrt((18*Settling Velocity of Particles*Dynamic Viscosity)/([g]*(Mass Density of Particles-Mass Density of Fluid))). Here is an example- 0.001327 = sqrt((18*0.0016*1.02)/([g]*(2700-1000))).

How to calculate Diameter given Settling Velocity with respect to Dynamic Viscosity?

With Settling Velocity of Particles (v_s), Dynamic Viscosity (μ_viscosity), Mass Density of Particles (ρ_m) & Mass Density of Fluid (ρ_f) we can find Diameter given Settling Velocity with respect to Dynamic Viscosity using the formula - Diameter of a Spherical Particle = sqrt((18*Settling Velocity of Particles*Dynamic Viscosity)/([g]*(Mass Density of Particles-Mass Density 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 given Settling Velocity with respect to Dynamic Viscosity be negative?

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

Which unit is used to measure Diameter given Settling Velocity with respect to Dynamic Viscosity?

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

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Diameter given Settling Velocity with respect to Dynamic Viscosity Formula

​GoDiameter of Particle given Volume of Particle Formula

​GoDiameter of Particle given Settling Velocity Formula

Diameter given Settling Velocity with respect to Dynamic Viscosity Example

Diameter given Settling Velocity with respect to Dynamic Viscosity Solution

Diameter given Settling Velocity with respect to Dynamic Viscosity Formula Elements

Other Formulas to find Diameter of a Spherical Particle

How to Evaluate Diameter given Settling Velocity with respect to Dynamic Viscosity?

FAQs on Diameter given Settling Velocity with respect to Dynamic Viscosity

Variable Name

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula